id	sid	tid	token	lemma	pos
gs-3851	1	1	microsoft	microsoft	PROPN
gs-3851	1	2	word	word	NOUN
gs-3851	1	3	fullpdf07022025	fullpdf07022025	PROPN
gs-3851	1	4	georgian	georgian	ADJ
gs-3851	1	5	scientists/ქართველი	scientists/ქართველი	NOUN
gs-3851	1	6	მეცნიერები	მეცნიერები	NOUN
gs-3851	1	7	ტ.	ტ.	VERB
gs-3851	1	8	7	7	NUM
gs-3851	1	9	n	n	DET
gs-3851	1	10	2	2	NUM
gs-3851	1	11	,	,	PUNCT
gs-3851	1	12	2025	2025	NUM
gs-3851	1	13	459	459	NUM
gs-3851	2	1	georgian	georgian	ADJ
gs-3851	2	2	scientists	scientist	NOUN
gs-3851	2	3	ქართველი	ქართველი	ADJ
gs-3851	2	4	მეცნიერები	მეცნიერები	PROPN
gs-3851	2	5	vol	vol	NOUN
gs-3851	2	6	.	.	PUNCT
gs-3851	2	7	7	7	NUM
gs-3851	2	8	issue	issue	NOUN
gs-3851	2	9	2	2	NUM
gs-3851	2	10	,	,	PUNCT
gs-3851	2	11	2025	2025	NUM
gs-3851	2	12	https://doi.org/10.52340/gs.2025.07.02.42	https://doi.org/10.52340/gs.2025.07.02.42	PROPN
gs-3851	2	13	linear	linear	ADJ
gs-3851	2	14	dependence	dependence	NOUN
gs-3851	2	15	of	of	ADP
gs-3851	2	16	pressure	pressure	NOUN
gs-3851	2	17	on	on	ADP
gs-3851	2	18	volume	volume	NOUN
gs-3851	2	19	in	in	ADP
gs-3851	2	20	some	some	DET
gs-3851	2	21	ideal	ideal	ADJ
gs-3851	2	22	gas	gas	NOUN
gs-3851	2	23	problems	problem	NOUN
gs-3851	2	24	zaza	zaza	PROPN
gs-3851	2	25	mardaleishvili	mardaleishvili	PROPN
gs-3851	2	26	,	,	PUNCT
gs-3851	2	27	phd	phd	PROPN
gs-3851	2	28	,	,	PUNCT
gs-3851	2	29	akaki	akaki	PROPN
gs-3851	2	30	tsereteli	tsereteli	PROPN
gs-3851	2	31	state	state	PROPN
gs-3851	2	32	university	university	PROPN
gs-3851	2	33	,	,	PUNCT
gs-3851	2	34	faculty	faculty	NOUN
gs-3851	2	35	of	of	ADP
gs-3851	2	36	tecnical	tecnical	ADJ
gs-3851	2	37	engineering	engineering	NOUN
gs-3851	2	38	,	,	PUNCT
gs-3851	2	39	department	department	NOUN
gs-3851	2	40	of	of	ADP
gs-3851	2	41	energy	energy	NOUN
gs-3851	2	42	and	and	CCONJ
gs-3851	2	43	telecommunication	telecommunication	NOUN
gs-3851	2	44	,	,	PUNCT
gs-3851	2	45	akhalgazrdoba	akhalgazrdoba	PROPN
gs-3851	2	46	av	av	PROPN
gs-3851	2	47	.	.	PROPN
gs-3851	2	48	№	№	ADJ
gs-3851	2	49	98	98	NUM
gs-3851	2	50	,	,	PUNCT
gs-3851	2	51	kutaisi	kutaisi	NOUN
gs-3851	2	52	,	,	PUNCT
gs-3851	2	53	georgia	georgia	PROPN
gs-3851	2	54	,	,	PUNCT
gs-3851	2	55	e	e	NOUN
gs-3851	2	56	-	-	NOUN
gs-3851	2	57	mail	mail	NOUN
gs-3851	2	58	;	;	PUNCT
gs-3851	2	59	zaza.mardaleishvili@atsu.edu.ge	zaza.mardaleishvili@atsu.edu.ge	NOUN
gs-3851	2	60	abstract	abstract	NOUN
gs-3851	2	61	the	the	DET
gs-3851	2	62	issues	issue	NOUN
gs-3851	2	63	of	of	ADP
gs-3851	2	64	changing	change	VERB
gs-3851	2	65	the	the	DET
gs-3851	2	66	amount	amount	NOUN
gs-3851	2	67	of	of	ADP
gs-3851	2	68	heat	heat	NOUN
gs-3851	2	69	and	and	CCONJ
gs-3851	2	70	changing	change	VERB
gs-3851	2	71	the	the	DET
gs-3851	2	72	molar	molar	ADJ
gs-3851	2	73	heat	heat	NOUN
gs-3851	2	74	capacity	capacity	NOUN
gs-3851	2	75	in	in	ADP
gs-3851	2	76	problems	problem	NOUN
gs-3851	2	77	of	of	ADP
gs-3851	2	78	nonmonotonic	nonmonotonic	ADJ
gs-3851	2	79	thermodynamics	thermodynamic	NOUN
gs-3851	2	80	are	be	AUX
gs-3851	2	81	considered	consider	VERB
gs-3851	2	82	.	.	PUNCT
gs-3851	3	1	dependence	dependence	NOUN
gs-3851	3	2	of	of	ADP
gs-3851	3	3	the	the	DET
gs-3851	3	4	ideal	ideal	ADJ
gs-3851	3	5	gas	gas	NOUN
gs-3851	3	6	pressure	pressure	NOUN
gs-3851	3	7	on	on	ADP
gs-3851	3	8	volume	volume	NOUN
gs-3851	3	9	in	in	ADP
gs-3851	3	10	the	the	DET
gs-3851	3	11	form	form	NOUN
gs-3851	3	12	of	of	ADP
gs-3851	3	13	a	a	DET
gs-3851	3	14	linear	linear	ADJ
gs-3851	3	15	function	function	NOUN
gs-3851	3	16	.	.	PUNCT
gs-3851	4	1	with	with	ADP
gs-3851	4	2	a	a	DET
gs-3851	4	3	negative	negative	ADJ
gs-3851	4	4	slope	slope	NOUN
gs-3851	4	5	.	.	PUNCT
gs-3851	5	1	the	the	DET
gs-3851	5	2	gas	gas	NOUN
gs-3851	5	3	molar	molar	ADJ
gs-3851	5	4	heat	heat	NOUN
gs-3851	5	5	capacity	capacity	NOUN
gs-3851	5	6	.	.	PUNCT
gs-3851	6	1	keywords	keyword	NOUN
gs-3851	6	2	:	:	PUNCT
gs-3851	6	3	nonmonotonic	nonmonotonic	ADJ
gs-3851	6	4	thermodynamics	thermodynamic	NOUN
gs-3851	6	5	,	,	PUNCT
gs-3851	6	6	heat	heat	NOUN
gs-3851	6	7	,	,	PUNCT
gs-3851	6	8	molar	molar	ADJ
gs-3851	6	9	heat	heat	NOUN
gs-3851	6	10	capacity	capacity	NOUN
gs-3851	6	11	problem	problem	NOUN
gs-3851	6	12	situation	situation	NOUN
gs-3851	6	13	:	:	PUNCT
gs-3851	6	14	one	one	NUM
gs-3851	6	15	mole	mole	NOUN
gs-3851	6	16	of	of	ADP
gs-3851	6	17	a	a	DET
gs-3851	6	18	monoatomic	monoatomic	ADJ
gs-3851	6	19	ideal	ideal	ADJ
gs-3851	6	20	gas	gas	NOUN
gs-3851	6	21	has	have	AUX
gs-3851	6	22	expanded	expand	VERB
gs-3851	6	23	in	in	ADP
gs-3851	6	24	the	the	DET
gs-3851	6	25	process	process	NOUN
gs-3851	6	26	1	1	NUM
gs-3851	6	27			NOUN
gs-3851	6	28	2	2	NUM
gs-3851	6	29	,	,	PUNCT
gs-3851	6	30	in	in	ADP
gs-3851	6	31	which	which	PRON
gs-3851	6	32	the	the	DET
gs-3851	6	33	gas	gas	NOUN
gs-3851	6	34	pressure	pressure	NOUN
gs-3851	6	35	depends	depend	VERB
gs-3851	6	36	linearly	linearly	ADV
gs-3851	6	37	on	on	ADP
gs-3851	6	38	its	its	PRON
gs-3851	6	39	volume	volume	NOUN
gs-3851	6	40	,	,	PUNCT
gs-3851	6	41	as	as	SCONJ
gs-3851	6	42	shown	show	VERB
gs-3851	6	43	in	in	ADP
gs-3851	6	44	figure	figure	NOUN
gs-3851	6	45	1	1	NUM
gs-3851	6	46	.	.	NOUN
gs-3851	6	47	1	1	NUM
gs-3851	6	48	)	)	PUNCT
gs-3851	6	49	what	what	PRON
gs-3851	6	50	is	be	AUX
gs-3851	6	51	the	the	DET
gs-3851	6	52	total	total	ADJ
gs-3851	6	53	amount	amount	NOUN
gs-3851	6	54	of	of	ADP
gs-3851	6	55	heat	heat	NOUN
gs-3851	6	56	absorbed	absorb	VERB
gs-3851	6	57	by	by	ADP
gs-3851	6	58	the	the	DET
gs-3851	6	59	gas	gas	NOUN
gs-3851	6	60	in	in	ADP
gs-3851	6	61	the	the	DET
gs-3851	6	62	process	process	NOUN
gs-3851	6	63	1	1	NUM
gs-3851	6	64			NOUN
gs-3851	6	65	2	2	NUM
gs-3851	6	66	?	?	SYM
gs-3851	6	67	2	2	NUM
gs-3851	6	68	)	)	PUNCT
gs-3851	6	69	what	what	DET
gs-3851	6	70	amount	amount	NOUN
gs-3851	6	71	of	of	ADP
gs-3851	6	72	heat	heat	NOUN
gs-3851	6	73	was	be	AUX
gs-3851	6	74	transferred	transfer	VERB
gs-3851	6	75	to	to	ADP
gs-3851	6	76	the	the	DET
gs-3851	6	77	gas	gas	NOUN
gs-3851	6	78	and	and	CCONJ
gs-3851	6	79	the	the	DET
gs-3851	6	80	quantity	quantity	NOUN
gs-3851	6	81	of	of	ADP
gs-3851	6	82	heat	heat	NOUN
gs-3851	6	83	given	give	VERB
gs-3851	6	84	off	off	ADP
gs-3851	6	85	by	by	ADP
gs-3851	6	86	the	the	DET
gs-3851	6	87	gas	gas	NOUN
gs-3851	6	88	in	in	ADP
gs-3851	6	89	the	the	DET
gs-3851	6	90	process	process	NOUN
gs-3851	6	91	1	1	NUM
gs-3851	6	92			NOUN
gs-3851	6	93	2	2	NUM
gs-3851	6	94	?	?	SYM
gs-3851	6	95	3	3	X
gs-3851	6	96	)	)	PUNCT
gs-3851	6	97	investigate	investigate	VERB
gs-3851	6	98	the	the	DET
gs-3851	6	99	dependence	dependence	NOUN
gs-3851	6	100	of	of	ADP
gs-3851	6	101	a	a	DET
gs-3851	6	102	gas	gas	NOUN
gs-3851	6	103	’s	’s	PART
gs-3851	6	104	molar	molar	ADJ
gs-3851	6	105	heat	heat	NOUN
gs-3851	6	106	capacity	capacity	NOUN
gs-3851	6	107	on	on	ADP
gs-3851	6	108	the	the	DET
gs-3851	6	109	volume	volume	NOUN
gs-3851	6	110	of	of	ADP
gs-3851	6	111	gas	gas	NOUN
gs-3851	6	112	.	.	PUNCT
gs-3851	7	1	p	p	X
gs-3851	7	2	3p0	3p0	NUM
gs-3851	7	3	p0	p0	NOUN
gs-3851	7	4	2p0	2p0	NUM
gs-3851	7	5	v0	v0	PROPN
gs-3851	7	6	2v0	2v0	NUM
gs-3851	7	7	3v0	3v0	NUM
gs-3851	7	8	v	v	PRON
gs-3851	7	9	fig	fig	NOUN
gs-3851	7	10	.	.	PUNCT
gs-3851	8	1	1	1	NUM
gs-3851	8	2	the	the	DET
gs-3851	8	3	solution	solution	NOUN
gs-3851	8	4	of	of	ADP
gs-3851	8	5	the	the	DET
gs-3851	8	6	problem	problem	NOUN
gs-3851	8	7	:	:	PUNCT
gs-3851	8	8	1	1	X
gs-3851	8	9	)	)	PUNCT
gs-3851	8	10	the	the	DET
gs-3851	8	11	first	first	ADJ
gs-3851	8	12	question	question	NOUN
gs-3851	8	13	is	be	AUX
gs-3851	8	14	easy	easy	ADJ
gs-3851	8	15	to	to	PART
gs-3851	8	16	answer	answer	VERB
gs-3851	8	17	:	:	PUNCT
gs-3851	8	18	it	it	PRON
gs-3851	8	19	suffices	suffice	VERB
gs-3851	8	20	to	to	PART
gs-3851	8	21	use	use	VERB
gs-3851	8	22	the	the	DET
gs-3851	8	23	first	first	ADJ
gs-3851	8	24	law	law	NOUN
gs-3851	8	25	of	of	ADP
gs-3851	8	26	thermodynamics	thermodynamic	NOUN
gs-3851	8	27	q12	q12	NOUN
gs-3851	8	28	=	=	PUNCT
gs-3851	8	29	∆u12	∆u12	NOUN
gs-3851	8	30	+	+	CCONJ
gs-3851	8	31	a12	a12	NOUN
gs-3851	8	32	,	,	PUNCT
gs-3851	8	33	georgian	georgian	ADJ
gs-3851	8	34	scientists/ქართველი	scientists/ქართველი	NOUN
gs-3851	8	35	მეცნიერები	მეცნიერები	NOUN
gs-3851	8	36	ტ.	ტ.	VERB
gs-3851	8	37	7	7	NUM
gs-3851	8	38	n	n	DET
gs-3851	8	39	2	2	NUM
gs-3851	8	40	,	,	PUNCT
gs-3851	8	41	2025	2025	NUM
gs-3851	8	42	460	460	NUM
gs-3851	8	43	where	where	SCONJ
gs-3851	8	44	q12	q12	PROPN
gs-3851	8	45	is	be	AUX
gs-3851	8	46	a	a	DET
gs-3851	8	47	total	total	ADJ
gs-3851	8	48	amount	amount	NOUN
gs-3851	8	49	of	of	ADP
gs-3851	8	50	heat	heat	NOUN
gs-3851	8	51	absorbed	absorb	VERB
gs-3851	8	52	by	by	ADP
gs-3851	8	53	the	the	DET
gs-3851	8	54	gas	gas	NOUN
gs-3851	8	55	.	.	PUNCT
gs-3851	9	1	the	the	DET
gs-3851	9	2	change	change	NOUN
gs-3851	9	3	of	of	ADP
gs-3851	9	4	the	the	DET
gs-3851	9	5	internal	internal	ADJ
gs-3851	9	6	energy	energy	NOUN
gs-3851	9	7	of	of	ADP
gs-3851	9	8	the	the	DET
gs-3851	9	9	gas	gas	NOUN
gs-3851	9	10	is	be	AUX
gs-3851	9	11	equal	equal	ADJ
gs-3851	9	12	to	to	ADP
gs-3851	9	13	zero	zero	NUM
gs-3851	9	14	.	.	PUNCT
gs-3851	10	1	0	0	NUM
gs-3851	10	2	2	2	NUM
gs-3851	10	3	3	3	NUM
gs-3851	10	4	2	2	NUM
gs-3851	10	5	3	3	NUM
gs-3851	10	6	121212	121212	NUM
gs-3851	10	7			NUM
gs-3851	10	8	trvtrvuuu	trvtrvuuu	NOUN
gs-3851	10	9	work	work	NOUN
gs-3851	10	10	done	do	VERB
gs-3851	10	11	by	by	ADP
gs-3851	10	12	the	the	DET
gs-3851	10	13	gas	gas	NOUN
gs-3851	10	14	is	be	AUX
gs-3851	10	15	equal	equal	ADJ
gs-3851	10	16	to	to	ADP
gs-3851	10	17	the	the	DET
gs-3851	10	18	area	area	NOUN
gs-3851	10	19	of	of	ADP
gs-3851	10	20	a	a	DET
gs-3851	10	21	figure	figure	NOUN
gs-3851	10	22	limited	limit	VERB
gs-3851	10	23	by	by	ADP
gs-3851	10	24	the	the	DET
gs-3851	10	25	graph	graph	NOUN
gs-3851	10	26	with	with	ADP
gs-3851	10	27	a	a	DET
gs-3851	10	28	“	"	PUNCT
gs-3851	10	29	+	+	ADJ
gs-3851	10	30	”	"	PUNCT
gs-3851	10	31	sign	sign	NOUN
gs-3851	10	32	:	:	PUNCT
gs-3851	10	33	00000012	00000012	NUM
gs-3851	10	34	4)3)(3	4)3)(3	NOUN
gs-3851	10	35	(	(	PUNCT
gs-3851	10	36	2	2	NUM
gs-3851	10	37	1	1	NUM
gs-3851	10	38	vpvvppsa	vpvvppsa	NOUN
gs-3851	10	39			NUM
gs-3851	10	40	q12=4p0v0	q12=4p0v0	PROPN
gs-3851	10	41	2	2	NUM
gs-3851	10	42	)	)	PUNCT
gs-3851	10	43	let	let	VERB
gs-3851	10	44	us	we	PRON
gs-3851	10	45	determine	determine	VERB
gs-3851	10	46	the	the	DET
gs-3851	10	47	equation	equation	NOUN
gs-3851	10	48	of	of	ADP
gs-3851	10	49	a	a	DET
gs-3851	10	50	straight	straight	ADJ
gs-3851	10	51	line	line	NOUN
gs-3851	10	52	of	of	ADP
gs-3851	10	53	the	the	DET
gs-3851	10	54	process	process	NOUN
gs-3851	10	55	1	1	NUM
gs-3851	10	56	-	-	SYM
gs-3851	10	57	2	2	NUM
gs-3851	10	58	given	give	VERB
gs-3851	10	59	on	on	ADP
gs-3851	10	60	the	the	DET
gs-3851	10	61	graph	graph	NOUN
gs-3851	10	62	:	:	PUNCT
gs-3851	10	63	i.e.	i.e.	X
gs-3851	10	64	the	the	DET
gs-3851	10	65	relationship	relationship	NOUN
gs-3851	10	66	between	between	ADP
gs-3851	10	67	the	the	DET
gs-3851	10	68	pressure	pressure	NOUN
gs-3851	10	69	and	and	CCONJ
gs-3851	10	70	volume	volume	NOUN
gs-3851	10	71	of	of	ADP
gs-3851	10	72	gas	gas	NOUN
gs-3851	10	73	.	.	PUNCT
gs-3851	11	1	fig	fig	NOUN
gs-3851	11	2	.	.	PUNCT
gs-3851	12	1	2	2	NUM
gs-3851	13	1	the	the	DET
gs-3851	13	2	equation	equation	NOUN
gs-3851	13	3	of	of	ADP
gs-3851	13	4	a	a	DET
gs-3851	13	5	straight	straight	ADJ
gs-3851	13	6	line	line	NOUN
gs-3851	13	7	can	can	AUX
gs-3851	13	8	be	be	AUX
gs-3851	13	9	determined	determine	VERB
gs-3851	13	10	in	in	ADP
gs-3851	13	11	different	different	ADJ
gs-3851	13	12	ways	way	NOUN
gs-3851	13	13	:	:	PUNCT
gs-3851	13	14	we	we	PRON
gs-3851	13	15	obtain	obtain	VERB
gs-3851	13	16	0	0	NUM
gs-3851	13	17	0	0	NUM
gs-3851	13	18	0	0	NUM
gs-3851	13	19	4	4	NUM
gs-3851	13	20	)	)	PUNCT
gs-3851	13	21	(	(	PUNCT
gs-3851	13	22	pv	pv	INTJ
gs-3851	13	23	v	v	X
gs-3851	13	24	p	p	PRON
gs-3851	13	25	vpp	vpp	NOUN
gs-3851	13	26			ADJ
gs-3851	13	27			PROPN
gs-3851	13	28			NUM
gs-3851	13	29	,	,	PUNCT
gs-3851	13	30	(	(	PUNCT
gs-3851	13	31	1	1	X
gs-3851	13	32	)	)	PUNCT
gs-3851	13	33	determine	determine	VERB
gs-3851	13	34	how	how	SCONJ
gs-3851	13	35	the	the	DET
gs-3851	13	36	gas	gas	NOUN
gs-3851	13	37	temperature	temperature	NOUN
gs-3851	13	38	changes	change	NOUN
gs-3851	13	39	during	during	ADP
gs-3851	13	40	the	the	DET
gs-3851	13	41	process	process	NOUN
gs-3851	13	42	1	1	NUM
gs-3851	13	43	-	-	SYM
gs-3851	13	44	2	2	NUM
gs-3851	13	45	,	,	PUNCT
gs-3851	13	46	as	as	ADP
gs-3851	13	47	a	a	DET
gs-3851	13	48	result	result	NOUN
gs-3851	13	49	of	of	ADP
gs-3851	13	50	volume	volume	NOUN
gs-3851	13	51	changes	change	NOUN
gs-3851	13	52	:	:	PUNCT
gs-3851	13	53	that	that	PRON
gs-3851	13	54	is	be	AUX
gs-3851	13	55	,	,	PUNCT
gs-3851	13	56	determine	determine	VERB
gs-3851	13	57	the	the	DET
gs-3851	13	58	dependence	dependence	NOUN
gs-3851	13	59	t	t	PROPN
gs-3851	13	60	=	=	SYM
gs-3851	13	61	t	t	X
gs-3851	13	62	(	(	PUNCT
gs-3851	13	63	v	v	NOUN
gs-3851	13	64	)	)	PUNCT
gs-3851	13	65	.	.	PUNCT
gs-3851	14	1	according	accord	VERB
gs-3851	14	2	to	to	ADP
gs-3851	14	3	the	the	DET
gs-3851	14	4	mendeleev	mendeleev	PROPN
gs-3851	14	5	-	-	PUNCT
gs-3851	14	6	clapeyron	clapeyron	PROPN
gs-3851	14	7	equation	equation	NOUN
gs-3851	14	8	:	:	PUNCT
gs-3851	14	9	let	let	VERB
gs-3851	14	10	us	we	PRON
gs-3851	14	11	substitute	substitute	VERB
gs-3851	14	12	pv	pv	PROPN
gs-3851	15	1	=	=	SYM
gs-3851	15	2	vrt	vrt	NOUN
gs-3851	15	3	,	,	PUNCT
gs-3851	15	4	to	to	ADP
gs-3851	15	5	the	the	DET
gs-3851	15	6	p	p	PROPN
gs-3851	15	7	=	=	NOUN
gs-3851	15	8	p(v	p(v	NOUN
gs-3851	15	9	)	)	PUNCT
gs-3851	15	10	expression	expression	NOUN
gs-3851	16	1			NOUN
gs-3851	16	2			NOUN
gs-3851	16	3			PROPN
gs-3851	16	4			PROPN
gs-3851	16	5			PROPN
gs-3851	16	6			NOUN
gs-3851	16	7			PROPN
gs-3851	16	8	0	0	NUM
gs-3851	16	9	0	0	NUM
gs-3851	16	10	0	0	NUM
gs-3851	17	1	4pv	4pv	NOUN
gs-3851	17	2	v	v	ADP
gs-3851	17	3	p	p	NOUN
gs-3851	17	4	r	r	NOUN
gs-3851	17	5	v	v	NOUN
gs-3851	17	6	r	r	NOUN
gs-3851	17	7	pv	pv	NOUN
gs-3851	17	8	t	t	PROPN
gs-3851	17	9			PUNCT
gs-3851	17	10	v	v	NOUN
gs-3851	17	11	r	r	NOUN
gs-3851	17	12	p	p	NOUN
gs-3851	17	13	v	v	X
gs-3851	17	14	rv	rv	PROPN
gs-3851	17	15	p	p	PROPN
gs-3851	17	16	vtt	vtt	PROPN
gs-3851	17	17			PUNCT
gs-3851	17	18	02	02	NUM
gs-3851	17	19	0	0	NUM
gs-3851	17	20	0	0	NUM
gs-3851	17	21	4	4	NUM
gs-3851	17	22	)	)	PUNCT
gs-3851	17	23	(	(	PUNCT
gs-3851	17	24			X
gs-3851	17	25			X
gs-3851	17	26			NUM
gs-3851	17	27	,	,	PUNCT
gs-3851	17	28	(	(	PUNCT
gs-3851	17	29	2	2	X
gs-3851	17	30	)	)	PUNCT
gs-3851	17	31	the	the	DET
gs-3851	17	32	relationship	relationship	NOUN
gs-3851	17	33	between	between	ADP
gs-3851	17	34	the	the	DET
gs-3851	17	35	absolute	absolute	ADJ
gs-3851	17	36	temperature	temperature	NOUN
gs-3851	17	37	and	and	CCONJ
gs-3851	17	38	volume	volume	NOUN
gs-3851	17	39	of	of	ADP
gs-3851	17	40	the	the	DET
gs-3851	17	41	monoatomic	monoatomic	ADJ
gs-3851	17	42	gas	gas	NOUN
gs-3851	17	43	has	have	VERB
gs-3851	17	44	the	the	DET
gs-3851	17	45	form	form	NOUN
gs-3851	17	46	of	of	ADP
gs-3851	17	47	a	a	DET
gs-3851	17	48	quadratic	quadratic	ADJ
gs-3851	17	49	function	function	NOUN
gs-3851	17	50	.	.	PUNCT
gs-3851	18	1	we	we	PRON
gs-3851	18	2	obtained	obtain	VERB
gs-3851	18	3	that	that	PRON
gs-3851	18	4	for	for	ADP
gs-3851	18	5	v=2v0	v=2v0	PROPN
gs-3851	18	6	,	,	PUNCT
gs-3851	18	7	the	the	DET
gs-3851	18	8	gas	gas	NOUN
gs-3851	18	9	temperature	temperature	NOUN
gs-3851	18	10	reaches	reach	VERB
gs-3851	18	11	its	its	PRON
gs-3851	18	12	maximum	maximum	ADJ
gs-3851	18	13	value	value	NOUN
gs-3851	18	14	:	:	PUNCT
gs-3851	18	15	by	by	ADP
gs-3851	18	16	inserting	insert	VERB
gs-3851	18	17	this	this	DET
gs-3851	18	18	value	value	NOUN
gs-3851	18	19	into	into	ADP
gs-3851	18	20	the	the	DET
gs-3851	18	21	equation	equation	NOUN
gs-3851	18	22	(	(	PUNCT
gs-3851	18	23	2	2	NUM
gs-3851	18	24	)	)	PUNCT
gs-3851	18	25	,	,	PUNCT
gs-3851	18	26	we	we	PRON
gs-3851	18	27	shall	shall	AUX
gs-3851	18	28	obtain	obtain	VERB
gs-3851	18	29	:	:	PUNCT
gs-3851	18	30	georgian	georgian	ADJ
gs-3851	18	31	scientists/ქართველი	scientists/ქართველი	NOUN
gs-3851	18	32	მეცნიერები	მეცნიერები	NOUN
gs-3851	18	33	ტ.	ტ.	VERB
gs-3851	18	34	7	7	NUM
gs-3851	18	35	n	n	DET
gs-3851	18	36	2	2	NUM
gs-3851	18	37	,	,	PUNCT
gs-3851	18	38	2025	2025	NUM
gs-3851	18	39	461	461	NUM
gs-3851	18	40	r	r	NOUN
gs-3851	18	41	vp	vp	PROPN
gs-3851	18	42	t	t	PROPN
gs-3851	18	43			NOUN
gs-3851	18	44	00	00	PUNCT
gs-3851	19	1	max	max	PROPN
gs-3851	19	2	4	4	NUM
gs-3851	19	3			NOUN
gs-3851	19	4	by	by	ADP
gs-3851	19	5	the	the	DET
gs-3851	19	6	extremum	extremum	ADJ
gs-3851	19	7	condition	condition	NOUN
gs-3851	19	8	:	:	PUNCT
gs-3851	19	9	0	0	PROPN
gs-3851	19	10	dv	dv	PROPN
gs-3851	20	1	dt	dt	X
gs-3851	20	2	0	0	NUM
gs-3851	20	3	4	4	NUM
gs-3851	20	4	02	02	NUM
gs-3851	20	5	0	0	NUM
gs-3851	20	6	0	0	NUM
gs-3851	20	7			NOUN
gs-3851	20	8			NOUN
gs-3851	20	9			PROPN
gs-3851	20	10			PROPN
gs-3851	20	11			PROPN
gs-3851	20	12			NOUN
gs-3851	20	13			X
gs-3851	21	1	v	v	ADP
gs-3851	21	2	r	r	NOUN
gs-3851	21	3	p	p	NOUN
gs-3851	21	4	v	v	X
gs-3851	21	5	rv	rv	PROPN
gs-3851	21	6	p	p	PROPN
gs-3851	21	7	dv	dv	PROPN
gs-3851	21	8	d	d	PROPN
gs-3851	21	9			PROPN
gs-3851	21	10	0	0	NUM
gs-3851	21	11	0	0	NUM
gs-3851	21	12	0	0	NUM
gs-3851	21	13	0	0	NUM
gs-3851	21	14	20	20	NUM
gs-3851	21	15	4	4	NUM
gs-3851	21	16	2	2	NUM
gs-3851	21	17	vv	vv	ADP
gs-3851	21	18	r	r	NOUN
gs-3851	21	19	p	p	NOUN
gs-3851	21	20	v	v	X
gs-3851	21	21	rv	rv	PROPN
gs-3851	21	22	p	p	PROPN
gs-3851	21	23			PROPN
gs-3851	21	24			ADV
gs-3851	21	25	022	022	NUM
gs-3851	21	26	.	.	NOUN
gs-3851	21	27	0	0	NUM
gs-3851	21	28	0	0	NUM
gs-3851	21	29	0	0	NUM
gs-3851	21	30	0	0	NUM
gs-3851	21	31	2	2	NUM
gs-3851	21	32	2	2	NUM
gs-3851	21	33			NOUN
gs-3851	21	34			NOUN
gs-3851	21	35			NOUN
gs-3851	21	36			NOUN
gs-3851	21	37			PROPN
gs-3851	21	38			PROPN
gs-3851	21	39			PROPN
gs-3851	21	40			NOUN
gs-3851	21	41			VERB
gs-3851	21	42			PROPN
gs-3851	22	1			PROPN
gs-3851	23	1	rv	rv	PROPN
gs-3851	24	1	p	p	NOUN
gs-3851	24	2	v	v	ADP
gs-3851	24	3	rv	rv	PROPN
gs-3851	24	4	p	p	PROPN
gs-3851	24	5	dv	dv	PROPN
gs-3851	24	6	d	d	PROPN
gs-3851	24	7	dv	dv	PROPN
gs-3851	24	8	td	td	PROPN
gs-3851	24	9			VERB
gs-3851	24	10	that	that	ADV
gs-3851	24	11	is	be	AUX
gs-3851	24	12	,	,	PUNCT
gs-3851	24	13	t	t	PROPN
gs-3851	24	14	=	=	SYM
gs-3851	24	15	t(v	t(v	PROPN
gs-3851	24	16	)	)	PUNCT
gs-3851	24	17	is	be	AUX
gs-3851	24	18	a	a	DET
gs-3851	24	19	function	function	NOUN
gs-3851	24	20	at	at	ADP
gs-3851	24	21	a	a	DET
gs-3851	24	22	point	point	NOUN
gs-3851	24	23	v	v	ADP
gs-3851	24	24	=	=	SYM
gs-3851	24	25	2v0	2v0	NUM
gs-3851	24	26	.	.	PUNCT
gs-3851	25	1	it	it	PRON
gs-3851	25	2	reaches	reach	VERB
gs-3851	25	3	a	a	DET
gs-3851	25	4	maximum	maximum	NOUN
gs-3851	25	5	:	:	PUNCT
gs-3851	25	6	tmax	tmax	ADV
gs-3851	25	7	=	=	SYM
gs-3851	25	8	r	r	NOUN
gs-3851	25	9	vp	vp	PROPN
gs-3851	25	10			NOUN
gs-3851	25	11	004	004	NUM
gs-3851	25	12	select	select	NOUN
gs-3851	25	13	a	a	DET
gs-3851	25	14	point	point	NOUN
gs-3851	25	15	on	on	ADP
gs-3851	25	16	the	the	DET
gs-3851	25	17	graph	graph	NOUN
gs-3851	25	18	whose	whose	DET
gs-3851	25	19	coordinates	coordinate	NOUN
gs-3851	25	20	are	be	AUX
gs-3851	25	21	(	(	PUNCT
gs-3851	25	22	v	v	NOUN
gs-3851	25	23	:p	:p	NOUN
gs-3851	25	24	)	)	PUNCT
gs-3851	25	25	.	.	PUNCT
gs-3851	26	1	consider	consider	VERB
gs-3851	26	2	an	an	DET
gs-3851	26	3	infinitesimal	infinitesimal	ADJ
gs-3851	26	4	process	process	NOUN
gs-3851	26	5	from	from	ADP
gs-3851	26	6	that	that	DET
gs-3851	26	7	point	point	NOUN
gs-3851	26	8	(	(	PUNCT
gs-3851	26	9	fig	fig	NOUN
gs-3851	26	10	.	.	PUNCT
gs-3851	27	1	2	2	NUM
gs-3851	27	2	)	)	PUNCT
gs-3851	27	3	,	,	PUNCT
gs-3851	27	4	that	that	ADV
gs-3851	27	5	is	is	ADV
gs-3851	27	6	,	,	PUNCT
gs-3851	27	7	let	let	VERB
gs-3851	27	8	us	we	PRON
gs-3851	27	9	increase	increase	VERB
gs-3851	27	10	the	the	DET
gs-3851	27	11	volume	volume	NOUN
gs-3851	27	12	by	by	ADP
gs-3851	27	13	∆v	∆v	PROPN
gs-3851	27	14	(	(	PUNCT
gs-3851	27	15	v+∆v	v+∆v	PROPN
gs-3851	27	16	):	):	PUNCT
gs-3851	27	17	pressure	pressure	NOUN
gs-3851	27	18	will	will	AUX
gs-3851	27	19	take	take	VERB
gs-3851	27	20	on	on	ADP
gs-3851	27	21	the	the	DET
gs-3851	27	22	value	value	NOUN
gs-3851	27	23	of	of	ADP
gs-3851	27	24	(	(	PUNCT
gs-3851	27	25	p+∆p	p+∆p	NOUN
gs-3851	27	26	)	)	PUNCT
gs-3851	27	27	,	,	PUNCT
gs-3851	27	28	while	while	SCONJ
gs-3851	27	29	the	the	DET
gs-3851	27	30	temperature	temperature	NOUN
gs-3851	27	31	will	will	AUX
gs-3851	27	32	take	take	VERB
gs-3851	27	33	on	on	ADP
gs-3851	27	34	the	the	DET
gs-3851	27	35	value	value	NOUN
gs-3851	27	36	of	of	ADP
gs-3851	27	37	(	(	PUNCT
gs-3851	27	38	t+∆t	t+∆t	PROPN
gs-3851	27	39	)	)	PUNCT
gs-3851	27	40	.	.	PUNCT
gs-3851	28	1	let	let	VERB
gs-3851	28	2	us	we	PRON
gs-3851	28	3	determine	determine	VERB
gs-3851	28	4	how	how	SCONJ
gs-3851	28	5	much	much	ADJ
gs-3851	28	6	heat	heat	NOUN
gs-3851	28	7	was	be	AUX
gs-3851	28	8	absorbed	absorb	VERB
gs-3851	28	9	of	of	ADP
gs-3851	28	10	given	give	VERB
gs-3851	28	11	off	off	ADP
gs-3851	28	12	by	by	ADP
gs-3851	28	13	the	the	DET
gs-3851	28	14	gas	gas	NOUN
gs-3851	28	15	in	in	ADP
gs-3851	28	16	this	this	DET
gs-3851	28	17	infinitesimal	infinitesimal	ADJ
gs-3851	28	18	process	process	NOUN
gs-3851	28	19	:	:	PUNCT
gs-3851	28	20	for	for	ADP
gs-3851	28	21	this	this	DET
gs-3851	28	22	process	process	NOUN
gs-3851	28	23	:	:	PUNCT
gs-3851	28	24			NUM
gs-3851	28	25	q	q	PRON
gs-3851	28	26	=	=	PRON
gs-3851	28	27	du+a	du+a	NOUN
gs-3851	28	28	the	the	DET
gs-3851	28	29	difference	difference	NOUN
gs-3851	28	30	in	in	ADP
gs-3851	28	31	designations	designation	NOUN
gs-3851	28	32	of	of	ADP
gs-3851	28	33	small	small	ADJ
gs-3851	28	34	quantities	quantity	NOUN
gs-3851	28	35	(	(	PUNCT
gs-3851	28	36	q	q	NOUN
gs-3851	28	37	,	,	PUNCT
gs-3851	28	38	du	du	PROPN
gs-3851	28	39	,	,	PUNCT
gs-3851	28	40	a	a	NOUN
gs-3851	28	41	)	)	PUNCT
gs-3851	28	42	reflects	reflect	VERB
gs-3851	28	43	their	their	PRON
gs-3851	28	44	different	different	ADJ
gs-3851	28	45	mathematical	mathematical	ADJ
gs-3851	28	46	meanings	meaning	NOUN
gs-3851	28	47	.	.	PUNCT
gs-3851	29	1	the	the	DET
gs-3851	29	2	du	du	PROPN
gs-3851	29	3	quantity	quantity	NOUN
gs-3851	29	4	is	be	AUX
gs-3851	29	5	a	a	DET
gs-3851	29	6	differential	differential	NOUN
gs-3851	29	7	of	of	ADP
gs-3851	29	8	state	state	NOUN
gs-3851	29	9	function	function	NOUN
gs-3851	29	10	of	of	ADP
gs-3851	29	11	the	the	DET
gs-3851	29	12	internal	internal	ADJ
gs-3851	29	13	energy	energy	NOUN
gs-3851	29	14	of	of	ADP
gs-3851	29	15	this	this	DET
gs-3851	29	16	system	system	NOUN
gs-3851	29	17	:	:	PUNCT
gs-3851	29	18	it	it	PRON
gs-3851	29	19	is	be	AUX
gs-3851	29	20	known	know	VERB
gs-3851	29	21	that	that	SCONJ
gs-3851	29	22	it	it	PRON
gs-3851	29	23	is	be	AUX
gs-3851	29	24	the	the	DET
gs-3851	29	25	so	so	ADV
gs-3851	29	26	-	-	PUNCT
gs-3851	29	27	called	call	VERB
gs-3851	29	28	total	total	NOUN
gs-3851	29	29	differential	differential	NOUN
gs-3851	29	30	,	,	PUNCT
gs-3851	29	31	it	it	PRON
gs-3851	29	32	can	can	AUX
gs-3851	29	33	be	be	AUX
gs-3851	29	34	written	write	VERB
gs-3851	29	35	as	as	ADP
gs-3851	29	36	the	the	DET
gs-3851	29	37	sum	sum	NOUN
gs-3851	29	38	of	of	ADP
gs-3851	29	39	the	the	DET
gs-3851	29	40	partial	partial	ADJ
gs-3851	29	41	differentials	differential	NOUN
gs-3851	29	42	.	.	PUNCT
gs-3851	30	1	for	for	ADP
gs-3851	30	2	example	example	NOUN
gs-3851	30	3	,	,	PUNCT
gs-3851	30	4	if	if	SCONJ
gs-3851	30	5	the	the	DET
gs-3851	30	6	volume	volume	NOUN
gs-3851	30	7	and	and	CCONJ
gs-3851	30	8	temperature	temperature	NOUN
gs-3851	30	9	change	change	NOUN
gs-3851	30	10	by	by	ADP
gs-3851	30	11	the	the	DET
gs-3851	30	12	values	value	NOUN
gs-3851	30	13	of	of	ADP
gs-3851	30	14	dv	dv	PROPN
gs-3851	30	15	and	and	CCONJ
gs-3851	30	16	dt	dt	PROPN
gs-3851	30	17	,	,	PUNCT
gs-3851	30	18	then	then	ADV
gs-3851	30	19	the	the	DET
gs-3851	30	20	change	change	NOUN
gs-3851	30	21	of	of	ADP
gs-3851	30	22	the	the	DET
gs-3851	30	23	internal	internal	ADJ
gs-3851	30	24	energy	energy	NOUN
gs-3851	30	25	can	can	AUX
gs-3851	30	26	be	be	AUX
gs-3851	30	27	written	write	VERB
gs-3851	30	28	as	as	SCONJ
gs-3851	30	29	follows	follow	VERB
gs-3851	30	30	:	:	PUNCT
gs-3851	30	31	dt	dt	PROPN
gs-3851	30	32	t	t	X
gs-3851	30	33	u	u	X
gs-3851	30	34	du	du	PROPN
gs-3851	30	35	v	v	X
gs-3851	30	36	u	u	PROPN
gs-3851	30	37	du	du	PROPN
gs-3851	30	38	vt	vt	PROPN
gs-3851	30	39			NOUN
gs-3851	30	40			NOUN
gs-3851	30	41			PRON
gs-3851	30	42			PROPN
gs-3851	30	43			PROPN
gs-3851	30	44			NOUN
gs-3851	30	45			PROPN
gs-3851	30	46			PROPN
gs-3851	30	47			PROPN
gs-3851	30	48			PROPN
gs-3851	30	49			PROPN
gs-3851	30	50			PROPN
gs-3851	30	51			PROPN
gs-3851	30	52			NOUN
gs-3851	30	53			PROPN
gs-3851	30	54			PROPN
gs-3851	30	55			PROPN
gs-3851	30	56	work	work	NOUN
gs-3851	30	57	and	and	CCONJ
gs-3851	30	58	the	the	DET
gs-3851	30	59	amount	amount	NOUN
gs-3851	30	60	of	of	ADP
gs-3851	30	61	heat	heat	NOUN
gs-3851	30	62	are	be	AUX
gs-3851	30	63	not	not	PART
gs-3851	30	64	the	the	DET
gs-3851	30	65	state	state	NOUN
gs-3851	30	66	functions	function	NOUN
gs-3851	30	67	.	.	PUNCT
gs-3851	31	1	these	these	DET
gs-3851	31	2	quantities	quantity	NOUN
gs-3851	31	3	are	be	AUX
gs-3851	31	4	functions	function	NOUN
gs-3851	31	5	of	of	ADP
gs-3851	31	6	the	the	DET
gs-3851	31	7	process	process	NOUN
gs-3851	31	8	,	,	PUNCT
gs-3851	31	9	so	so	ADV
gs-3851	31	10	their	their	PRON
gs-3851	31	11	small	small	ADJ
gs-3851	31	12	increments	increment	NOUN
gs-3851	31	13	can	can	AUX
gs-3851	31	14	not	not	PART
gs-3851	31	15	be	be	AUX
gs-3851	31	16	considered	consider	VERB
gs-3851	31	17	to	to	PART
gs-3851	31	18	be	be	AUX
gs-3851	31	19	the	the	DET
gs-3851	31	20	differentials	differential	NOUN
gs-3851	31	21	.	.	PUNCT
gs-3851	32	1	georgian	georgian	ADJ
gs-3851	32	2	scientists/ქართველი	scientists/ქართველი	PROPN
gs-3851	32	3	მეცნიერები	მეცნიერები	NOUN
gs-3851	32	4	ტ.	ტ.	VERB
gs-3851	32	5	7	7	NUM
gs-3851	32	6	n	n	DET
gs-3851	32	7	2	2	NUM
gs-3851	32	8	,	,	PUNCT
gs-3851	32	9	2025	2025	NUM
gs-3851	32	10	462	462	NUM
gs-3851	32	11	if	if	SCONJ
gs-3851	32	12	the	the	DET
gs-3851	32	13	changes	change	NOUN
gs-3851	32	14	in	in	ADP
gs-3851	32	15	the	the	DET
gs-3851	32	16	volume	volume	NOUN
gs-3851	32	17	and	and	CCONJ
gs-3851	32	18	temperature	temperature	NOUN
gs-3851	32	19	are	be	AUX
gs-3851	32	20	dv	dv	PROPN
gs-3851	32	21	are	be	AUX
gs-3851	32	22	dt	dt	PUNCT
gs-3851	32	23	respectively	respectively	ADV
gs-3851	32	24	,	,	PUNCT
gs-3851	32	25	then	then	ADV
gs-3851	32	26	we	we	PRON
gs-3851	32	27	still	still	ADV
gs-3851	32	28	do	do	AUX
gs-3851	32	29	n't	not	PART
gs-3851	32	30	know	know	VERB
gs-3851	32	31	what	what	PRON
gs-3851	32	32	q	q	NUM
gs-3851	32	33	and	and	CCONJ
gs-3851	32	34	a	a	NOUN
gs-3851	32	35	vary	vary	VERB
gs-3851	32	36	.	.	PUNCT
gs-3851	33	1	as	as	ADP
gs-3851	33	2	a	a	DET
gs-3851	33	3	result	result	NOUN
gs-3851	33	4	of	of	ADP
gs-3851	33	5	the	the	DET
gs-3851	33	6	analysis	analysis	NOUN
gs-3851	33	7	of	of	ADP
gs-3851	33	8	the	the	DET
gs-3851	33	9	process	process	NOUN
gs-3851	33	10	,	,	PUNCT
gs-3851	33	11	we	we	PRON
gs-3851	33	12	will	will	AUX
gs-3851	33	13	obtain	obtain	VERB
gs-3851	33	14	different	different	ADJ
gs-3851	33	15	quantities	quantity	NOUN
gs-3851	33	16	:	:	PUNCT
gs-3851	33	17	if	if	SCONJ
gs-3851	33	18	the	the	DET
gs-3851	33	19	volume	volume	NOUN
gs-3851	33	20	changes	change	VERB
gs-3851	33	21	first	first	ADV
gs-3851	33	22	and	and	CCONJ
gs-3851	33	23	then	then	ADV
gs-3851	33	24	the	the	DET
gs-3851	33	25	temperature	temperature	NOUN
gs-3851	33	26	or	or	CCONJ
gs-3851	33	27	vice	vice	NOUN
gs-3851	33	28	versa	versa	ADV
gs-3851	33	29	,	,	PUNCT
gs-3851	33	30	the	the	DET
gs-3851	33	31	temperature	temperature	NOUN
gs-3851	33	32	first	first	ADV
gs-3851	33	33	and	and	CCONJ
gs-3851	33	34	then	then	ADV
gs-3851	33	35	the	the	DET
gs-3851	33	36	volume	volume	NOUN
gs-3851	33	37	.	.	PUNCT
gs-3851	34	1	none	none	NOUN
gs-3851	34	2	of	of	ADP
gs-3851	34	3	the	the	DET
gs-3851	34	4	obtained	obtain	VERB
gs-3851	34	5	values	value	NOUN
gs-3851	34	6	will	will	AUX
gs-3851	34	7	match	match	VERB
gs-3851	34	8	the	the	DET
gs-3851	34	9	results	result	NOUN
gs-3851	34	10	of	of	ADP
gs-3851	34	11	a	a	DET
gs-3851	34	12	process	process	NOUN
gs-3851	34	13	where	where	SCONJ
gs-3851	34	14	volume	volume	NOUN
gs-3851	34	15	and	and	CCONJ
gs-3851	34	16	temperature	temperature	NOUN
gs-3851	34	17	change	change	NOUN
gs-3851	34	18	simultaneously	simultaneously	ADV
gs-3851	34	19	.	.	PUNCT
gs-3851	35	1	it	it	PRON
gs-3851	35	2	should	should	AUX
gs-3851	35	3	be	be	AUX
gs-3851	35	4	noted	note	VERB
gs-3851	35	5	that	that	SCONJ
gs-3851	35	6	only	only	ADV
gs-3851	35	7	the	the	DET
gs-3851	35	8	internal	internal	ADJ
gs-3851	35	9	energy	energy	NOUN
gs-3851	35	10	will	will	AUX
gs-3851	35	11	change	change	VERB
gs-3851	35	12	in	in	ADP
gs-3851	35	13	the	the	DET
gs-3851	35	14	same	same	ADJ
gs-3851	35	15	way	way	NOUN
gs-3851	35	16	in	in	ADP
gs-3851	35	17	all	all	DET
gs-3851	35	18	three	three	NUM
gs-3851	35	19	cases	case	NOUN
gs-3851	35	20	.	.	PUNCT
gs-3851	36	1	that	that	PRON
gs-3851	36	2	is	be	AUX
gs-3851	36	3	what	what	PRON
gs-3851	36	4	was	be	AUX
gs-3851	36	5	about	about	ADP
gs-3851	36	6	the	the	DET
gs-3851	36	7	designations	designation	NOUN
gs-3851	36	8	.	.	PUNCT
gs-3851	37	1	for	for	ADP
gs-3851	37	2	simplicity	simplicity	NOUN
gs-3851	37	3	,	,	PUNCT
gs-3851	37	4	let	let	VERB
gs-3851	37	5	us	we	PRON
gs-3851	37	6	use	use	VERB
gs-3851	37	7	∆	∆	PROPN
gs-3851	37	8	designations	designation	NOUN
gs-3851	37	9	:	:	PUNCT
gs-3851	37	10			NUM
gs-3851	37	11	q	q	NOUN
gs-3851	37	12	=	=	PUNCT
gs-3851	37	13	∆u	∆u	PROPN
gs-3851	37	14	+	+	CCONJ
gs-3851	37	15	a	a	PRON
gs-3851	37	16	since	since	SCONJ
gs-3851	37	17	the	the	DET
gs-3851	37	18	process	process	NOUN
gs-3851	37	19	is	be	AUX
gs-3851	37	20	infinitesimal	infinitesimal	ADJ
gs-3851	37	21	,	,	PUNCT
gs-3851	37	22	we	we	PRON
gs-3851	37	23	can	can	AUX
gs-3851	37	24	assume	assume	VERB
gs-3851	37	25	that	that	SCONJ
gs-3851	37	26	p	p	NOUN
gs-3851	37	27	=	=	NOUN
gs-3851	37	28	const	const	NOUN
gs-3851	37	29	and	and	CCONJ
gs-3851	37	30	a	a	DET
gs-3851	37	31	=	=	NOUN
gs-3851	37	32	p∆v	p∆v	NOUN
gs-3851	37	33	the	the	DET
gs-3851	37	34	work	work	NOUN
gs-3851	37	35	done	do	VERB
gs-3851	37	36	by	by	ADP
gs-3851	37	37	the	the	DET
gs-3851	37	38	gas	gas	NOUN
gs-3851	37	39	will	will	AUX
gs-3851	37	40	be	be	AUX
gs-3851	37	41	equal	equal	ADJ
gs-3851	37	42	to	to	ADP
gs-3851	37	43	the	the	DET
gs-3851	37	44	area	area	NOUN
gs-3851	37	45	of	of	ADP
gs-3851	37	46	the	the	DET
gs-3851	37	47	dashed	dash	VERB
gs-3851	37	48	figure	figure	NOUN
gs-3851	37	49	in	in	ADP
gs-3851	37	50	figure	figure	NOUN
gs-3851	37	51	2	2	NUM
gs-3851	37	52	:	:	SYM
gs-3851	37	53	2	2	NUM
gs-3851	37	54	1	1	NUM
gs-3851	37	55	a	a	NOUN
gs-3851	37	56	(	(	PUNCT
gs-3851	37	57	p+p+∆p	p+p+∆p	NOUN
gs-3851	37	58	)	)	PUNCT
gs-3851	38	1	×	×	NOUN
gs-3851	38	2	∆v=	∆v=	NOUN
gs-3851	38	3	2	2	NUM
gs-3851	38	4	1	1	NUM
gs-3851	38	5	(	(	PUNCT
gs-3851	38	6	2p+∆p	2p+∆p	NOUN
gs-3851	38	7	)	)	PUNCT
gs-3851	38	8	∆v	∆v	PROPN
gs-3851	38	9	the	the	DET
gs-3851	38	10	product	product	NOUN
gs-3851	38	11	of	of	ADP
gs-3851	38	12	∆p×∆v	∆p×∆v	PROPN
gs-3851	38	13	0	0	NUM
gs-3851	38	14	,	,	PUNCT
gs-3851	38	15	thus	thus	ADV
gs-3851	38	16	a	a	DET
gs-3851	38	17	=	=	NOUN
gs-3851	38	18	p×∆v	p×∆v	NOUN
gs-3851	38	19	as	as	ADP
gs-3851	38	20	for	for	ADP
gs-3851	38	21	the	the	DET
gs-3851	38	22	change	change	NOUN
gs-3851	38	23	of	of	ADP
gs-3851	38	24	the	the	DET
gs-3851	38	25	internal	internal	ADJ
gs-3851	38	26	energy	energy	NOUN
gs-3851	38	27	of	of	ADP
gs-3851	38	28	the	the	DET
gs-3851	38	29	gas	gas	NOUN
gs-3851	38	30	:	:	PUNCT
gs-3851	38	31			NOUN
gs-3851	39	1	vpu	vpu	X
gs-3851	39	2	pv	pv	INTJ
gs-3851	40	1	pv	pv	INTJ
gs-3851	40	2	ru	ru	NOUN
gs-3851	40	3			NOUN
gs-3851	40	4	2	2	NUM
gs-3851	40	5	3	3	NUM
gs-3851	40	6	2	2	NUM
gs-3851	40	7	2	2	NUM
gs-3851	40	8	3	3	NUM
gs-3851	40	9	2	2	NUM
gs-3851	40	10	3	3	NUM
gs-3851	40	11			NUM
gs-3851	40	12			NOUN
gs-3851	40	13			PROPN
gs-3851	40	14	pvvpvppvpvvp	pvvpvppvpvvp	NOUN
gs-3851	40	15			PROPN
gs-3851	40	16	we	we	PRON
gs-3851	40	17	should	should	AUX
gs-3851	40	18	take	take	VERB
gs-3851	40	19	into	into	ADP
gs-3851	40	20	account	account	NOUN
gs-3851	40	21	that	that	SCONJ
gs-3851	40	22	∆p∙	∆p∙	PUNCT
gs-3851	41	1	∆v	∆v	NOUN
gs-3851	41	2	0	0	NUM
gs-3851	41	3	,	,	PUNCT
gs-3851	41	4	we	we	PRON
gs-3851	41	5	shall	shall	AUX
gs-3851	41	6	obtain	obtain	VERB
gs-3851	41	7	∆(pv	∆(pv	NOUN
gs-3851	41	8	)	)	PUNCT
gs-3851	41	9	=	=	VERB
gs-3851	42	1	p∆v+	p∆v+	ADV
gs-3851	42	2	v∆p	v∆p	VERB
gs-3851	42	3	the	the	DET
gs-3851	42	4	resulting	result	VERB
gs-3851	42	5	expression	expression	NOUN
gs-3851	42	6	is	be	AUX
gs-3851	42	7	valid	valid	ADJ
gs-3851	42	8	if	if	SCONJ
gs-3851	42	9	1	1	PROPN
gs-3851	42	10			NOUN
gs-3851	43	1	p	p	X
gs-3851	43	2	p	p	X
gs-3851	43	3	,	,	PUNCT
gs-3851	43	4	1	1	INTJ
gs-3851	43	5			NOUN
gs-3851	44	1	v	v	ADP
gs-3851	44	2	v	v	NOUN
gs-3851	44	3	to	to	PART
gs-3851	44	4	calculate	calculate	VERB
gs-3851	44	5	the	the	DET
gs-3851	44	6	amount	amount	NOUN
gs-3851	44	7	of	of	ADP
gs-3851	44	8	heat	heat	NOUN
gs-3851	44	9	of	of	ADP
gs-3851	44	10	the	the	DET
gs-3851	44	11	infinitesimal	infinitesimal	ADJ
gs-3851	44	12	process	process	NOUN
gs-3851	44	13			PROPN
gs-3851	44	14	q	q	NOUN
gs-3851	44	15	,	,	PUNCT
gs-3851	44	16	we	we	PRON
gs-3851	44	17	shall	shall	AUX
gs-3851	44	18	obtain	obtain	VERB
gs-3851	44	19	the	the	DET
gs-3851	44	20	following	follow	VERB
gs-3851	44	21	expression	expression	NOUN
gs-3851	44	22	:	:	PUNCT
gs-3851	44	23	vppvq	vppvq	NOUN
gs-3851	44	24			NOUN
gs-3851	44	25	)	)	PUNCT
gs-3851	44	26	(	(	PUNCT
gs-3851	44	27	2	2	NUM
gs-3851	44	28	3	3	NUM
gs-3851	44	29			NUM
gs-3851	44	30	georgian	georgian	ADJ
gs-3851	44	31	scientists/ქართველი	scientists/ქართველი	NOUN
gs-3851	44	32	მეცნიერები	მეცნიერები	NOUN
gs-3851	44	33	ტ.	ტ.	VERB
gs-3851	44	34	7	7	NUM
gs-3851	44	35	n	n	DET
gs-3851	44	36	2	2	NUM
gs-3851	44	37	,	,	PUNCT
gs-3851	44	38	2025	2025	NUM
gs-3851	44	39	463	463	NUM
gs-3851	44	40	vpvpq	vpvpq	ADJ
gs-3851	44	41			NOUN
gs-3851	44	42	2	2	NUM
gs-3851	44	43	3	3	NUM
gs-3851	44	44	2	2	NUM
gs-3851	44	45	5	5	NUM
gs-3851	44	46	(	(	PUNCT
gs-3851	44	47	3	3	X
gs-3851	44	48	)	)	PUNCT
gs-3851	44	49	let	let	VERB
gs-3851	44	50	us	we	PRON
gs-3851	44	51	determine	determine	VERB
gs-3851	44	52	∆p	∆p	NOUN
gs-3851	44	53	:	:	PUNCT
gs-3851	45	1			NUM
gs-3851	45	2			NUM
gs-3851	45	3			PROPN
gs-3851	45	4			NUM
gs-3851	45	5			NUM
gs-3851	45	6			NUM
gs-3851	45	7			ADP
gs-3851	45	8			NOUN
gs-3851	45	9			NOUN
gs-3851	45	10			PROPN
gs-3851	45	11			NOUN
gs-3851	45	12			PROPN
gs-3851	45	13			NOUN
gs-3851	45	14			ADJ
gs-3851	45	15			PROPN
gs-3851	45	16			NOUN
gs-3851	45	17			PROPN
gs-3851	45	18			PROPN
gs-3851	45	19			PROPN
gs-3851	45	20			NOUN
gs-3851	45	21			ADP
gs-3851	45	22			NOUN
gs-3851	45	23	0	0	NUM
gs-3851	45	24	0	0	NUM
gs-3851	45	25	0	0	NUM
gs-3851	45	26	0	0	NUM
gs-3851	45	27	4	4	NUM
gs-3851	45	28	4	4	NUM
gs-3851	45	29	v	v	NOUN
gs-3851	45	30	v	v	ADP
gs-3851	45	31	pp	pp	NOUN
gs-3851	45	32	v	v	NOUN
gs-3851	45	33	vv	vv	NOUN
gs-3851	45	34	ppp	ppp	PROPN
gs-3851	45	35			NOUN
gs-3851	45	36			NOUN
gs-3851	45	37			PROPN
gs-3851	45	38			PROPN
gs-3851	45	39			PROPN
gs-3851	45	40			NOUN
gs-3851	45	41			NOUN
gs-3851	46	1			NOUN
gs-3851	46	2			VERB
gs-3851	46	3			PROPN
gs-3851	46	4			PROPN
gs-3851	46	5			PROPN
gs-3851	46	6			NOUN
gs-3851	46	7			PROPN
gs-3851	46	8	00	00	PUNCT
gs-3851	46	9	0	0	NUM
gs-3851	46	10	0	0	NUM
gs-3851	46	11	0	0	NUM
gs-3851	46	12	44	44	NUM
gs-3851	46	13	v	v	NUM
gs-3851	46	14	v	v	NOUN
gs-3851	46	15	v	v	NOUN
gs-3851	46	16	v	v	ADP
gs-3851	46	17	pp	pp	NOUN
gs-3851	46	18	v	v	NOUN
gs-3851	46	19	v	v	ADP
gs-3851	46	20	pp	pp	NOUN
gs-3851	46	21	v	v	NOUN
gs-3851	46	22	v	v	ADP
gs-3851	46	23	p	p	NOUN
gs-3851	46	24	p	p	PROPN
gs-3851	46	25			PROPN
gs-3851	46	26	0	0	PUNCT
gs-3851	46	27	0	0	NUM
gs-3851	46	28	going	go	VERB
gs-3851	46	29	in	in	ADP
gs-3851	46	30	an	an	DET
gs-3851	46	31	alternative	alternative	ADJ
gs-3851	46	32	way	way	NOUN
gs-3851	46	33	:	:	PUNCT
gs-3851	46	34			NOUN
gs-3851	47	1			SYM
gs-3851	47	2			NOUN
gs-3851	47	3			PROPN
gs-3851	47	4	v	v	NOUN
gs-3851	47	5	v	v	ADP
gs-3851	47	6	p	p	NOUN
gs-3851	47	7	vvpp	vvpp	NOUN
gs-3851	47	8	v	v	ADP
gs-3851	47	9	p	p	PROPN
gs-3851	47	10	vp	vp	PROPN
gs-3851	47	11			PROPN
gs-3851	47	12			PUNCT
gs-3851	47	13			VERB
gs-3851	47	14	0	0	NUM
gs-3851	47	15	0	0	NUM
gs-3851	47	16	by	by	ADP
gs-3851	47	17	inserting	insert	VERB
gs-3851	47	18	into	into	ADP
gs-3851	47	19	the	the	DET
gs-3851	47	20	expression	expression	NOUN
gs-3851	47	21	(	(	PUNCT
gs-3851	47	22	3	3	NUM
gs-3851	47	23	)	)	PUNCT
gs-3851	47	24	,	,	PUNCT
gs-3851	47	25	we	we	PRON
gs-3851	47	26	shall	shall	AUX
gs-3851	47	27	obtain	obtain	VERB
gs-3851	47	28	:	:	PUNCT
gs-3851	47	29	v	v	NUM
gs-3851	47	30	v	v	NUM
gs-3851	47	31	v	v	NOUN
gs-3851	47	32	pq	pq	NOUN
gs-3851	47	33			NOUN
gs-3851	47	34			NOUN
gs-3851	47	35			PROPN
gs-3851	47	36			NOUN
gs-3851	47	37			PROPN
gs-3851	47	38			NOUN
gs-3851	47	39			ADJ
gs-3851	47	40	0	0	NUM
gs-3851	47	41	0	0	NUM
gs-3851	47	42	2	2	NUM
gs-3851	47	43	52	52	NUM
gs-3851	47	44			NUM
gs-3851	47	45	we	we	PRON
gs-3851	47	46	obtain	obtain	VERB
gs-3851	47	47	the	the	DET
gs-3851	47	48	dependence	dependence	NOUN
gs-3851	47	49	of	of	ADP
gs-3851	47	50	the	the	DET
gs-3851	47	51	function	function	NOUN
gs-3851	47	52	of	of	ADP
gs-3851	47	53	a	a	DET
gs-3851	47	54	small	small	ADJ
gs-3851	47	55	portion	portion	NOUN
gs-3851	47	56	of	of	ADP
gs-3851	47	57	the	the	DET
gs-3851	47	58	amount	amount	NOUN
gs-3851	47	59	of	of	ADP
gs-3851	47	60	heat	heat	NOUN
gs-3851	47	61	on	on	ADP
gs-3851	47	62	the	the	DET
gs-3851	47	63	values	value	NOUN
gs-3851	47	64	of	of	ADP
gs-3851	47	65	∆v	∆v	PROPN
gs-3851	47	66	and	and	CCONJ
gs-3851	47	67	v	v	NOUN
gs-3851	47	68	in	in	ADP
gs-3851	47	69	the	the	DET
gs-3851	47	70	considered	consider	VERB
gs-3851	47	71	infinitesimal	infinitesimal	ADJ
gs-3851	47	72	process	process	NOUN
gs-3851	47	73	.	.	PUNCT
gs-3851	48	1	∆v>0	∆v>0	PROPN
gs-3851	48	2	,	,	PUNCT
gs-3851	48	3	p0>0	p0>0	NOUN
gs-3851	48	4	for	for	ADP
gs-3851	48	5	all	all	DET
gs-3851	48	6	infinitesimal	infinitesimal	ADJ
gs-3851	48	7	processes	process	NOUN
gs-3851	48	8	.	.	PUNCT
gs-3851	49	1	let	let	VERB
gs-3851	49	2	us	we	PRON
gs-3851	49	3	determine	determine	VERB
gs-3851	49	4	all	all	DET
gs-3851	49	5	the	the	DET
gs-3851	49	6	values	value	NOUN
gs-3851	49	7	of	of	ADP
gs-3851	49	8	the	the	DET
gs-3851	49	9	volume	volume	NOUN
gs-3851	49	10	v	v	NOUN
gs-3851	49	11	for	for	ADP
gs-3851	49	12	which	which	PRON
gs-3851	49	13	q>0	q>0	NOUN
gs-3851	49	14	(	(	PUNCT
gs-3851	49	15	heat	heat	NOUN
gs-3851	49	16	is	be	AUX
gs-3851	49	17	transferred	transfer	VERB
gs-3851	49	18	to	to	ADP
gs-3851	49	19	the	the	DET
gs-3851	49	20	gas	gas	NOUN
gs-3851	49	21	)	)	PUNCT
gs-3851	49	22	.	.	PUNCT
gs-3851	50	1	q>0	q>0	PROPN
gs-3851	50	2	,	,	PUNCT
gs-3851	50	3	if	if	SCONJ
gs-3851	50	4	05,20	05,20	VERB
gs-3851	50	5	)	)	PUNCT
gs-3851	50	6	0	0	NUM
gs-3851	50	7	2	2	NUM
gs-3851	50	8	5	5	NUM
gs-3851	50	9	(	(	PUNCT
gs-3851	50	10			NOUN
gs-3851	50	11			NOUN
gs-3851	50	12	v	v	ADP
gs-3851	50	13	v	v	NOUN
gs-3851	50	14	that	that	PRON
gs-3851	50	15	is	be	AUX
gs-3851	50	16	,	,	PUNCT
gs-3851	50	17	there	there	PRON
gs-3851	50	18	is	be	VERB
gs-3851	50	19	a	a	DET
gs-3851	50	20	certain	certain	ADJ
gs-3851	50	21	point	point	NOUN
gs-3851	50	22	b	b	NOUN
gs-3851	50	23	at	at	ADP
gs-3851	50	24	which	which	PRON
gs-3851	50	25	:	:	PUNCT
gs-3851	50	26	vb=2,5	vb=2,5	NUM
gs-3851	50	27	v0	v0	NOUN
gs-3851	50	28	და	და	NOUN
gs-3851	50	29	pb	pb	ADP
gs-3851	50	30	=	=	NOUN
gs-3851	50	31	1,5	1,5	NUM
gs-3851	50	32	p0	p0	NOUN
gs-3851	50	33	from	from	ADP
gs-3851	50	34	the	the	DET
gs-3851	50	35	point	point	NOUN
gs-3851	50	36	to	to	ADP
gs-3851	50	37	the	the	DET
gs-3851	50	38	point	point	NOUN
gs-3851	50	39	b	b	NOUN
gs-3851	50	40	,	,	PUNCT
gs-3851	50	41	heat	heat	NOUN
gs-3851	50	42	is	be	AUX
gs-3851	50	43	transferred	transfer	VERB
gs-3851	50	44	to	to	ADP
gs-3851	50	45	the	the	DET
gs-3851	50	46	gas	gas	NOUN
gs-3851	50	47	,	,	PUNCT
gs-3851	50	48	that	that	PRON
gs-3851	50	49	is	be	AUX
gs-3851	50	50	from	from	ADP
gs-3851	50	51	the	the	DET
gs-3851	50	52	volume	volume	NOUN
gs-3851	50	53	v0	v0	NOUN
gs-3851	50	54	to	to	ADP
gs-3851	50	55	the	the	DET
gs-3851	50	56	volume	volume	NOUN
gs-3851	50	57	2,5	2,5	NUM
gs-3851	50	58	v0	v0	NOUN
gs-3851	50	59	,	,	PUNCT
gs-3851	50	60	the	the	DET
gs-3851	50	61	gas	gas	NOUN
gs-3851	50	62	absorbs	absorb	VERB
gs-3851	50	63	energy	energy	NOUN
gs-3851	50	64	:	:	PUNCT
gs-3851	50	65	v0	v0	NOUN
gs-3851	50	66	<	<	X
gs-3851	50	67	v<2,5	v<2,5	PROPN
gs-3851	50	68	v0	v0	NOUN
gs-3851	50	69	the	the	DET
gs-3851	50	70	gas	gas	NOUN
gs-3851	50	71	absorbs	absorb	VERB
gs-3851	50	72	energy	energy	NOUN
gs-3851	50	73	in	in	ADP
gs-3851	50	74	amount	amount	NOUN
gs-3851	50	75	of	of	ADP
gs-3851	50	76	q1b	q1b	PROPN
gs-3851	50	77	>	>	X
gs-3851	51	1	o.	o.	PROPN
gs-3851	51	2	as	as	SCONJ
gs-3851	51	3	we	we	PRON
gs-3851	51	4	have	have	AUX
gs-3851	51	5	seen	see	VERB
gs-3851	51	6	above	above	ADV
gs-3851	51	7	,	,	PUNCT
gs-3851	51	8	the	the	DET
gs-3851	51	9	gas	gas	NOUN
gs-3851	51	10	reaches	reach	VERB
gs-3851	51	11	its	its	PRON
gs-3851	51	12	maximum	maximum	ADJ
gs-3851	51	13	temperature	temperature	NOUN
gs-3851	51	14	at	at	ADP
gs-3851	51	15	the	the	DET
gs-3851	51	16	point	point	NOUN
gs-3851	51	17	v=2v0	v=2v0	PROPN
gs-3851	51	18	.	.	PUNCT
gs-3851	52	1	that	that	PRON
gs-3851	52	2	is	be	AUX
gs-3851	52	3	,	,	PUNCT
gs-3851	52	4	from	from	ADP
gs-3851	52	5	this	this	DET
gs-3851	52	6	point	point	NOUN
gs-3851	52	7	to	to	PART
gs-3851	52	8	point	point	VERB
gs-3851	52	9	b	b	PROPN
gs-3851	52	10	,	,	PUNCT
gs-3851	52	11	the	the	DET
gs-3851	52	12	gas	gas	NOUN
gs-3851	52	13	still	still	ADV
gs-3851	52	14	absorbs	absorb	VERB
gs-3851	52	15	heat	heat	NOUN
gs-3851	52	16	,	,	PUNCT
gs-3851	52	17	but	but	CCONJ
gs-3851	52	18	the	the	DET
gs-3851	52	19	temperature	temperature	NOUN
gs-3851	52	20	is	be	AUX
gs-3851	52	21	already	already	ADV
gs-3851	52	22	decreasing	decrease	VERB
gs-3851	52	23	.	.	PUNCT
gs-3851	53	1	find	find	VERB
gs-3851	53	2	the	the	DET
gs-3851	53	3	v	v	NOUN
gs-3851	53	4	-	-	PUNCT
gs-3851	53	5	volume	volume	NOUN
gs-3851	53	6	values	value	NOUN
gs-3851	53	7	for	for	ADP
gs-3851	53	8	which	which	PRON
gs-3851	53	9	q<0	q<0	NOUN
gs-3851	53	10	,	,	PUNCT
gs-3851	53	11	that	that	ADV
gs-3851	53	12	is	is	ADV
gs-3851	53	13	,	,	PUNCT
gs-3851	53	14	the	the	DET
gs-3851	53	15	gas	gas	NOUN
gs-3851	53	16	gives	give	VERB
gs-3851	53	17	off	off	ADP
gs-3851	53	18	heat	heat	NOUN
gs-3851	53	19	.	.	PUNCT
gs-3851	54	1	0	0	NUM
gs-3851	54	2	0	0	NUM
gs-3851	55	1	5,20	5,20	NUM
gs-3851	55	2	2	2	NUM
gs-3851	55	3	5	5	NUM
gs-3851	55	4	vv	vv	ADP
gs-3851	55	5	v	v	PRON
gs-3851	55	6	v	v	X
gs-3851	55	7			PROPN
gs-3851	55	8			NOUN
gs-3851	55	9			PROPN
gs-3851	55	10			PROPN
gs-3851	55	11			PROPN
gs-3851	55	12			NOUN
gs-3851	55	13			PROPN
gs-3851	55	14	georgian	georgian	PROPN
gs-3851	55	15	scientists/ქართველი	scientists/ქართველი	NOUN
gs-3851	55	16	მეცნიერები	მეცნიერები	NOUN
gs-3851	55	17	ტ.	ტ.	VERB
gs-3851	55	18	7	7	NUM
gs-3851	55	19	n	n	DET
gs-3851	55	20	2	2	NUM
gs-3851	55	21	,	,	PUNCT
gs-3851	55	22	2025	2025	NUM
gs-3851	55	23	464	464	NUM
gs-3851	55	24	that	that	PRON
gs-3851	55	25	is	be	AUX
gs-3851	55	26	,	,	PUNCT
gs-3851	55	27	in	in	ADP
gs-3851	55	28	the	the	DET
gs-3851	55	29	process	process	NOUN
gs-3851	55	30	b	b	NOUN
gs-3851	55	31			NOUN
gs-3851	55	32	2	2	NUM
gs-3851	55	33	,	,	PUNCT
gs-3851	55	34	the	the	DET
gs-3851	55	35	gas	gas	NOUN
gs-3851	55	36	gives	give	VERB
gs-3851	55	37	off	off	ADP
gs-3851	55	38	heat	heat	NOUN
gs-3851	55	39	,	,	PUNCT
gs-3851	55	40	or	or	CCONJ
gs-3851	55	41	in	in	ADP
gs-3851	55	42	the	the	DET
gs-3851	55	43	process	process	NOUN
gs-3851	55	44	1	1	NUM
gs-3851	55	45	–	–	SYM
gs-3851	55	46	b	b	NOUN
gs-3851	55	47	,	,	PUNCT
gs-3851	55	48	the	the	DET
gs-3851	55	49	gas	gas	NOUN
gs-3851	55	50	absorbs	absorb	VERB
gs-3851	55	51	heat	heat	NOUN
gs-3851	55	52	in	in	ADP
gs-3851	55	53	the	the	DET
gs-3851	55	54	amount	amount	NOUN
gs-3851	55	55	of	of	ADP
gs-3851	55	56	q1b	q1b	NOUN
gs-3851	55	57	,	,	PUNCT
gs-3851	55	58	while	while	SCONJ
gs-3851	55	59	in	in	ADP
gs-3851	55	60	the	the	DET
gs-3851	55	61	process	process	NOUN
gs-3851	55	62	b-2	b-2	NOUN
gs-3851	55	63	,	,	PUNCT
gs-3851	55	64	the	the	DET
gs-3851	55	65	gas	gas	NOUN
gs-3851	55	66	gave	give	VERB
gs-3851	55	67	off	off	ADP
gs-3851	55	68	qb2	qb2	NOUN
gs-3851	55	69	.	.	PUNCT
gs-3851	56	1	001	001	NUM
gs-3851	56	2	2	2	NUM
gs-3851	56	3	9	9	NUM
gs-3851	56	4	vpq	vpq	NOUN
gs-3851	56	5	b	b	NOUN
gs-3851	56	6			NOUN
gs-3851	57	1	the	the	DET
gs-3851	57	2	amount	amount	NOUN
gs-3851	57	3	of	of	ADP
gs-3851	57	4	heat	heat	NOUN
gs-3851	57	5	transferred	transfer	VERB
gs-3851	57	6	to	to	ADP
gs-3851	57	7	the	the	DET
gs-3851	57	8	gas	gas	NOUN
gs-3851	57	9	.	.	PUNCT
gs-3851	58	1	0000002	0000002	NUM
gs-3851	58	2	2	2	NUM
gs-3851	58	3	1	1	NUM
gs-3851	58	4	8	8	NUM
gs-3851	58	5	5	5	NUM
gs-3851	58	6	8	8	NUM
gs-3851	58	7	9	9	NUM
gs-3851	58	8	vpvpvpqb	vpvpvpqb	NOUN
gs-3851	58	9			NOUN
gs-3851	58	10	002	002	NUM
gs-3851	58	11	2	2	NUM
gs-3851	58	12	1	1	NUM
gs-3851	58	13	vpqb	vpqb	NOUN
gs-3851	58	14			PRON
gs-3851	58	15	the	the	DET
gs-3851	58	16	given	give	VERB
gs-3851	58	17	off	off	ADP
gs-3851	58	18	amount	amount	NOUN
gs-3851	58	19	of	of	ADP
gs-3851	58	20	heat	heat	NOUN
gs-3851	58	21	.	.	PUNCT
gs-3851	59	1	the	the	DET
gs-3851	59	2	algebraic	algebraic	ADJ
gs-3851	59	3	sum	sum	NOUN
gs-3851	59	4	of	of	ADP
gs-3851	59	5	these	these	DET
gs-3851	59	6	two	two	NUM
gs-3851	59	7	quantities	quantity	NOUN
gs-3851	59	8	is	be	AUX
gs-3851	59	9	precisely	precisely	ADV
gs-3851	59	10	q12	q12	ADJ
gs-3851	59	11	the	the	DET
gs-3851	59	12	amount	amount	NOUN
gs-3851	59	13	of	of	ADP
gs-3851	59	14	heat	heat	NOUN
gs-3851	59	15	that	that	PRON
gs-3851	59	16	we	we	PRON
gs-3851	59	17	obtained	obtain	VERB
gs-3851	59	18	as	as	ADP
gs-3851	59	19	an	an	DET
gs-3851	59	20	answer	answer	NOUN
gs-3851	59	21	to	to	ADP
gs-3851	59	22	the	the	DET
gs-3851	59	23	first	first	ADJ
gs-3851	59	24	question	question	NOUN
gs-3851	59	25	.	.	PUNCT
gs-3851	60	1	3	3	X
gs-3851	60	2	)	)	PUNCT
gs-3851	60	3	let	let	VERB
gs-3851	60	4	us	we	PRON
gs-3851	60	5	investigate	investigate	VERB
gs-3851	60	6	how	how	SCONJ
gs-3851	60	7	the	the	DET
gs-3851	60	8	molar	molar	ADJ
gs-3851	60	9	heat	heat	NOUN
gs-3851	60	10	capacity	capacity	NOUN
gs-3851	60	11	of	of	ADP
gs-3851	60	12	the	the	DET
gs-3851	60	13	gas	gas	NOUN
gs-3851	60	14	changes	change	NOUN
gs-3851	60	15	during	during	ADP
gs-3851	60	16	the	the	DET
gs-3851	60	17	process	process	NOUN
gs-3851	60	18	1	1	NUM
gs-3851	60	19	-	-	SYM
gs-3851	60	20	2	2	NUM
gs-3851	60	21	.	.	PUNCT
gs-3851	61	1	let	let	VERB
gs-3851	61	2	us	we	PRON
gs-3851	61	3	consider	consider	VERB
gs-3851	61	4	the	the	DET
gs-3851	61	5	infinitesimal	infinitesimal	ADJ
gs-3851	61	6	processes	process	NOUN
gs-3851	61	7	in	in	ADP
gs-3851	61	8	the	the	DET
gs-3851	61	9	vicinity	vicinity	NOUN
gs-3851	61	10	of	of	ADP
gs-3851	61	11	which	which	PRON
gs-3851	61	12	the	the	DET
gs-3851	61	13	molar	molar	ADJ
gs-3851	61	14	heat	heat	NOUN
gs-3851	61	15	capacity	capacity	NOUN
gs-3851	61	16	c	c	NOUN
gs-3851	61	17	is	be	AUX
gs-3851	61	18	not	not	PART
gs-3851	61	19	changed	change	VERB
gs-3851	61	20	:	:	PUNCT
gs-3851	61	21	t	t	PROPN
gs-3851	61	22	v	v	NUM
gs-3851	61	23	v	v	NOUN
gs-3851	61	24	v	v	ADP
gs-3851	61	25	p	p	PROPN
gs-3851	61	26	t	t	PROPN
gs-3851	61	27	q	q	PROPN
gs-3851	61	28	vcc	vcc	PROPN
gs-3851	61	29			NOUN
gs-3851	61	30			NOUN
gs-3851	61	31			PROPN
gs-3851	61	32			NOUN
gs-3851	61	33			PUNCT
gs-3851	61	34			ADV
gs-3851	61	35			NUM
gs-3851	61	36	)	)	PUNCT
gs-3851	61	37	0	0	NUM
gs-3851	61	38	2	2	NUM
gs-3851	61	39	5(2	5(2	NUM
gs-3851	61	40	)	)	PUNCT
gs-3851	61	41	(	(	PUNCT
gs-3851	61	42	0	0	NUM
gs-3851	61	43	according	accord	VERB
gs-3851	61	44	to	to	ADP
gs-3851	61	45	the	the	DET
gs-3851	61	46	explanation	explanation	NOUN
gs-3851	61	47	:	:	PUNCT
gs-3851	61	48			NOUN
gs-3851	61	49			PROPN
gs-3851	61	50	vvtt	vvtt	VERB
gs-3851	61	51	v	v	ADP
gs-3851	61	52	t	t	PROPN
gs-3851	61	53	vt	vt	PROPN
gs-3851	61	54			PROPN
gs-3851	61	55			PUNCT
gs-3851	61	56			NOUN
gs-3851	61	57			NOUN
gs-3851	61	58	)	)	PUNCT
gs-3851	61	59	(	(	PUNCT
gs-3851	61	60	v	v	NOUN
gs-3851	61	61	r	r	NOUN
gs-3851	61	62	p	p	NOUN
gs-3851	61	63	v	v	X
gs-3851	61	64	rv	rv	PROPN
gs-3851	61	65	p	p	PROPN
gs-3851	61	66	t	t	PROPN
gs-3851	61	67			NOUN
gs-3851	61	68			NOUN
gs-3851	61	69			PROPN
gs-3851	61	70			PROPN
gs-3851	61	71			PROPN
gs-3851	61	72			NOUN
gs-3851	61	73			VERB
gs-3851	61	74			X
gs-3851	61	75	0	0	NUM
gs-3851	61	76	0	0	NUM
gs-3851	61	77	0	0	NUM
gs-3851	61	78	4	4	NUM
gs-3851	61	79	2	2	NUM
gs-3851	61	80	)	)	PUNCT
gs-3851	61	81	v	v	NOUN
gs-3851	61	82	r	r	NOUN
gs-3851	61	83	p	p	NOUN
gs-3851	61	84	v	v	X
gs-3851	61	85	rv	rv	PROPN
gs-3851	62	1	p	p	NOUN
gs-3851	62	2	v	v	ADP
gs-3851	62	3	v	v	NOUN
gs-3851	62	4	v	v	NOUN
gs-3851	62	5	p	p	NOUN
gs-3851	62	6	vcc	vcc	NOUN
gs-3851	62	7			NOUN
gs-3851	62	8			NOUN
gs-3851	62	9			PROPN
gs-3851	62	10			NOUN
gs-3851	63	1			PROPN
gs-3851	63	2			NOUN
gs-3851	63	3			NOUN
gs-3851	63	4			NOUN
gs-3851	63	5			NOUN
gs-3851	63	6			PROPN
gs-3851	63	7			NOUN
gs-3851	63	8			PROPN
gs-3851	63	9			NOUN
gs-3851	63	10			NOUN
gs-3851	63	11			NUM
gs-3851	63	12			PUNCT
gs-3851	63	13			NUM
gs-3851	63	14	0	0	NUM
gs-3851	63	15	0	0	NUM
gs-3851	63	16	0	0	NUM
gs-3851	63	17	0	0	NUM
gs-3851	63	18	0	0	NUM
gs-3851	63	19	4	4	NUM
gs-3851	63	20	2	2	NUM
gs-3851	63	21	2	2	NUM
gs-3851	63	22	52	52	NUM
gs-3851	63	23	)	)	PUNCT
gs-3851	63	24	(	(	PUNCT
gs-3851	63	25	r	r	NOUN
gs-3851	63	26	v	v	NUM
gs-3851	63	27	v	v	NUM
gs-3851	63	28	v	v	NOUN
gs-3851	63	29	v	v	NOUN
gs-3851	63	30	v	v	NOUN
gs-3851	63	31	vcc	vcc	NOUN
gs-3851	63	32			NOUN
gs-3851	63	33			PROPN
gs-3851	63	34			NOUN
gs-3851	63	35			NUM
gs-3851	63	36	0	0	NUM
gs-3851	63	37	0	0	NUM
gs-3851	63	38	2	2	NUM
gs-3851	63	39	2	2	NUM
gs-3851	63	40	5	5	NUM
gs-3851	63	41	)	)	PUNCT
gs-3851	63	42	(	(	PUNCT
gs-3851	63	43	(	(	PUNCT
gs-3851	63	44	4	4	X
gs-3851	63	45	)	)	PUNCT
gs-3851	63	46	we	we	PRON
gs-3851	63	47	have	have	AUX
gs-3851	63	48	obtained	obtain	VERB
gs-3851	63	49	the	the	DET
gs-3851	63	50	graphical	graphical	ADJ
gs-3851	63	51	depiction	depiction	NOUN
gs-3851	63	52	of	of	ADP
gs-3851	63	53	the	the	DET
gs-3851	63	54	relationship	relationship	NOUN
gs-3851	63	55	between	between	ADP
gs-3851	63	56	the	the	DET
gs-3851	63	57	molar	molar	ADJ
gs-3851	63	58	heat	heat	NOUN
gs-3851	63	59	capacity	capacity	NOUN
gs-3851	63	60	and	and	CCONJ
gs-3851	63	61	volume	volume	NOUN
gs-3851	63	62	.	.	PUNCT
gs-3851	64	1	at	at	ADP
gs-3851	64	2	point	point	NOUN
gs-3851	64	3	1	1	NUM
gs-3851	64	4	of	of	ADP
gs-3851	64	5	the	the	DET
gs-3851	64	6	graph	graph	NOUN
gs-3851	64	7	:	:	PUNCT
gs-3851	64	8	c(1	c(1	NOUN
gs-3851	64	9	)	)	PUNCT
gs-3851	64	10	=	=	SYM
gs-3851	64	11	c(v0)=	c(v0)=	NOUN
gs-3851	64	12	3r	3r	NOUN
gs-3851	64	13	>	>	X
gs-3851	64	14	0	0	PUNCT
gs-3851	65	1	at	at	ADP
gs-3851	65	2	point	point	NOUN
gs-3851	65	3	2	2	NUM
gs-3851	65	4	of	of	ADP
gs-3851	65	5	the	the	DET
gs-3851	65	6	graph	graph	NOUN
gs-3851	65	7	:	:	PUNCT
gs-3851	65	8	georgian	georgian	ADJ
gs-3851	65	9	scientists/ქართველი	scientists/ქართველი	NOUN
gs-3851	65	10	მეცნიერები	მეცნიერები	NOUN
gs-3851	65	11	ტ.	ტ.	VERB
gs-3851	65	12	7	7	NUM
gs-3851	65	13	n	n	DET
gs-3851	65	14	2	2	NUM
gs-3851	65	15	,	,	PUNCT
gs-3851	65	16	2025	2025	NUM
gs-3851	65	17	465	465	NUM
gs-3851	65	18	c(2	c(2	NOUN
gs-3851	65	19	)	)	PUNCT
gs-3851	65	20	=	=	SYM
gs-3851	65	21	c(3v0	c(3v0	NOUN
gs-3851	65	22	)	)	PUNCT
gs-3851	66	1	=	=	SYM
gs-3851	66	2	0	0	NUM
gs-3851	66	3	32	32	NUM
gs-3851	66	4	65	65	NUM
gs-3851	66	5			PROPN
gs-3851	66	6			PROPN
gs-3851	66	7			PROPN
gs-3851	66	8	rr	rr	VERB
gs-3851	66	9	the	the	DET
gs-3851	66	10	molar	molar	ADJ
gs-3851	66	11	heat	heat	NOUN
gs-3851	66	12	capacity	capacity	NOUN
gs-3851	66	13	is	be	AUX
gs-3851	66	14	zero	zero	NUM
gs-3851	66	15	at	at	ADP
gs-3851	66	16	point	point	NOUN
gs-3851	66	17	b	b	NOUN
gs-3851	66	18	is	be	AUX
gs-3851	66	19	equal	equal	ADJ
gs-3851	66	20	to	to	ADP
gs-3851	66	21	zero	zero	NUM
gs-3851	66	22	at	at	ADP
gs-3851	66	23	point	point	NOUN
gs-3851	66	24	b.	b.	PROPN
gs-3851	66	25	0	0	NUM
gs-3851	66	26	2	2	NUM
gs-3851	66	27	5	5	NUM
gs-3851	66	28	)	)	PUNCT
gs-3851	66	29	(	(	PUNCT
gs-3851	66	30	0	0	NUM
gs-3851	66	31			NUM
gs-3851	66	32	vcbc	vcbc	VERB
gs-3851	66	33	2v0	2v0	NUM
gs-3851	66	34	–	–	PUNCT
gs-3851	66	35	the	the	DET
gs-3851	66	36	heat	heat	NOUN
gs-3851	66	37	capacity	capacity	NOUN
gs-3851	66	38	at	at	ADP
gs-3851	66	39	point	point	NOUN
gs-3851	66	40	k	k	PROPN
gs-3851	66	41	is	be	AUX
gs-3851	66	42	infinity	infinity	NOUN
gs-3851	66	43	c(2v0)=	c(2v0)=	NOUN
gs-3851	66	44			PROPN
gs-3851	66	45	let	let	VERB
gs-3851	66	46	us	we	PRON
gs-3851	66	47	build	build	VERB
gs-3851	66	48	c	c	NOUN
gs-3851	66	49	=	=	SYM
gs-3851	66	50	c(v	c(v	PROPN
gs-3851	66	51	)	)	PUNCT
gs-3851	66	52	–	–	PUNCT
gs-3851	66	53	the	the	DET
gs-3851	66	54	graph	graph	NOUN
gs-3851	66	55	of	of	ADP
gs-3851	66	56	the	the	DET
gs-3851	66	57	function	function	NOUN
gs-3851	66	58	.	.	PUNCT
gs-3851	67	1	the	the	DET
gs-3851	67	2	molar	molar	ADJ
gs-3851	67	3	heat	heat	NOUN
gs-3851	67	4	capacity	capacity	NOUN
gs-3851	67	5	changes	change	VERB
gs-3851	67	6	its	its	PRON
gs-3851	67	7	sign	sign	NOUN
gs-3851	67	8	twice	twice	ADV
gs-3851	67	9	.	.	PUNCT
gs-3851	68	1	v0v2v0	v0v2v0	NOUN
gs-3851	68	2	,	,	PUNCT
gs-3851	68	3	c0	c0	PROPN
gs-3851	68	4	;	;	PUNCT
gs-3851	68	5	c0	c0	PROPN
gs-3851	68	6	;	;	PUNCT
gs-3851	68	7	t0	t0	NUM
gs-3851	68	8	:	:	PUNCT
gs-3851	68	9	q	q	X
gs-3851	68	10	=	=	SYM
gs-3851	68	11	ct0	ct0	NOUN
gs-3851	68	12			NOUN
gs-3851	68	13	00	00	NUM
gs-3851	68	14	2	2	NUM
gs-3851	68	15	5	5	NUM
gs-3851	68	16	2	2	NUM
gs-3851	68	17	vvv	vvv	NOUN
gs-3851	68	18			NUM
gs-3851	68	19	,	,	PUNCT
gs-3851	68	20	c0	c0	PROPN
gs-3851	68	21	;	;	PUNCT
gs-3851	68	22	t0	t0	NOUN
gs-3851	68	23	;	;	PUNCT
gs-3851	68	24	q	q	X
gs-3851	68	25	=	=	SYM
gs-3851	68	26	ct0	ct0	NOUN
gs-3851	68	27			NOUN
gs-3851	68	28	00	00	PUNCT
gs-3851	69	1	3v	3v	NUM
gs-3851	69	2	2	2	NUM
gs-3851	69	3	5	5	NUM
gs-3851	69	4	vv	vv	PRON
gs-3851	69	5	;	;	PUNCT
gs-3851	69	6	c>0	c>0	NOUN
gs-3851	69	7	;	;	PUNCT
gs-3851	69	8	t0	t0	NOUN
gs-3851	69	9	;	;	PUNCT
gs-3851	69	10	q	q	PUNCT
gs-3851	69	11	=	=	PRON
gs-3851	69	12	ct<0	ct<0	ADV
gs-3851	69	13	let	let	VERB
gs-3851	69	14	us	we	PRON
gs-3851	69	15	consider	consider	VERB
gs-3851	69	16	the	the	DET
gs-3851	69	17	problem	problem	NOUN
gs-3851	69	18	that	that	PRON
gs-3851	69	19	describes	describe	VERB
gs-3851	69	20	a	a	DET
gs-3851	69	21	real	real	ADJ
gs-3851	69	22	physical	physical	ADJ
gs-3851	69	23	device	device	NOUN
gs-3851	69	24	where	where	SCONJ
gs-3851	69	25	the	the	DET
gs-3851	69	26	process	process	NOUN
gs-3851	69	27	described	describe	VERB
gs-3851	69	28	above	above	ADV
gs-3851	69	29	can	can	AUX
gs-3851	69	30	be	be	AUX
gs-3851	69	31	implemented	implement	VERB
gs-3851	69	32	.	.	PUNCT
gs-3851	70	1	problem	problem	NOUN
gs-3851	70	2	situation	situation	NOUN
gs-3851	70	3	:	:	PUNCT
gs-3851	70	4	the	the	DET
gs-3851	70	5	lower	low	ADJ
gs-3851	70	6	end	end	NOUN
gs-3851	70	7	of	of	ADP
gs-3851	70	8	a	a	DET
gs-3851	70	9	small	small	ADJ
gs-3851	70	10	diameter	diameter	NOUN
gs-3851	70	11	vertical	vertical	ADJ
gs-3851	70	12	pipe	pipe	NOUN
gs-3851	70	13	is	be	AUX
gs-3851	70	14	soldered	solder	VERB
gs-3851	70	15	.	.	PUNCT
gs-3851	71	1	the	the	DET
gs-3851	71	2	length	length	NOUN
gs-3851	71	3	of	of	ADP
gs-3851	71	4	the	the	DET
gs-3851	71	5	tube	tube	NOUN
gs-3851	71	6	is	be	AUX
gs-3851	71	7	2	2	NUM
gs-3851	71	8	l.	l.	NOUN
gs-3851	71	9	the	the	DET
gs-3851	71	10	upper	upper	ADJ
gs-3851	71	11	end	end	NOUN
gs-3851	71	12	of	of	ADP
gs-3851	71	13	the	the	DET
gs-3851	71	14	tube	tube	NOUN
gs-3851	71	15	is	be	AUX
gs-3851	71	16	open	open	ADJ
gs-3851	71	17	.	.	PUNCT
gs-3851	72	1	in	in	ADP
gs-3851	72	2	the	the	DET
gs-3851	72	3	lower	low	ADJ
gs-3851	72	4	part	part	NOUN
gs-3851	72	5	of	of	ADP
gs-3851	72	6	the	the	DET
gs-3851	72	7	tube	tube	NOUN
gs-3851	72	8	,	,	PUNCT
gs-3851	72	9	there	there	PRON
gs-3851	72	10	is	be	VERB
gs-3851	72	11	an	an	DET
gs-3851	72	12	ideal	ideal	ADJ
gs-3851	72	13	gas	gas	NOUN
gs-3851	72	14	at	at	ADP
gs-3851	72	15	t0temperature	t0temperature	NOUN
gs-3851	72	16	,	,	PUNCT
gs-3851	72	17	the	the	DET
gs-3851	72	18	upper	upper	ADJ
gs-3851	72	19	part	part	NOUN
gs-3851	72	20	of	of	ADP
gs-3851	72	21	the	the	DET
gs-3851	72	22	tube	tube	NOUN
gs-3851	72	23	is	be	AUX
gs-3851	72	24	filled	fill	VERB
gs-3851	72	25	with	with	ADP
gs-3851	72	26	mercury	mercury	NOUN
gs-3851	72	27	.	.	PUNCT
gs-3851	73	1	1	1	X
gs-3851	73	2	)	)	PUNCT
gs-3851	73	3	determine	determine	VERB
gs-3851	73	4	the	the	DET
gs-3851	73	5	equation	equation	NOUN
gs-3851	73	6	of	of	ADP
gs-3851	73	7	dependence	dependence	NOUN
gs-3851	73	8	of	of	ADP
gs-3851	73	9	the	the	DET
gs-3851	73	10	gas	gas	NOUN
gs-3851	73	11	pressure	pressure	NOUN
gs-3851	73	12	on	on	ADP
gs-3851	73	13	the	the	DET
gs-3851	73	14	volume	volume	NOUN
gs-3851	73	15	.	.	PUNCT
gs-3851	74	1	2	2	X
gs-3851	74	2	)	)	PUNCT
gs-3851	74	3	determine	determine	VERB
gs-3851	74	4	the	the	DET
gs-3851	74	5	maximum	maximum	ADJ
gs-3851	74	6	temperature	temperature	NOUN
gs-3851	74	7	in	in	ADP
gs-3851	74	8	the	the	DET
gs-3851	74	9	process	process	NOUN
gs-3851	74	10	of	of	ADP
gs-3851	74	11	expelling	expel	VERB
gs-3851	74	12	mercury	mercury	NOUN
gs-3851	74	13	by	by	ADP
gs-3851	74	14	gas	gas	NOUN
gs-3851	74	15	.	.	PUNCT
gs-3851	75	1	3	3	X
gs-3851	75	2	)	)	PUNCT
gs-3851	75	3	determine	determine	VERB
gs-3851	75	4	the	the	DET
gs-3851	75	5	amount	amount	NOUN
gs-3851	75	6	of	of	ADP
gs-3851	75	7	heat	heat	NOUN
gs-3851	75	8	absorbed	absorb	VERB
gs-3851	75	9	by	by	ADP
gs-3851	75	10	the	the	DET
gs-3851	75	11	gas	gas	NOUN
gs-3851	75	12	,	,	PUNCT
gs-3851	75	13	which	which	PRON
gs-3851	75	14	is	be	AUX
gs-3851	75	15	required	require	VERB
gs-3851	75	16	to	to	PART
gs-3851	75	17	completely	completely	ADV
gs-3851	75	18	expel	expel	VERB
gs-3851	75	19	the	the	DET
gs-3851	75	20	mercury	mercury	NOUN
gs-3851	75	21	.	.	PUNCT
gs-3851	76	1	an	an	DET
gs-3851	76	2	ideal	ideal	ADJ
gs-3851	76	3	gas	gas	NOUN
gs-3851	76	4	(	(	PUNCT
gs-3851	76	5			NUM
gs-3851	76	6	=	=	SYM
gs-3851	76	7	1	1	NUM
gs-3851	76	8	mole	mole	NOUN
gs-3851	76	9	)	)	PUNCT
gs-3851	76	10	is	be	AUX
gs-3851	76	11	monoatomic	monoatomic	ADJ
gs-3851	76	12	,	,	PUNCT
gs-3851	76	13	the	the	DET
gs-3851	76	14	section	section	NOUN
gs-3851	76	15	area	area	NOUN
gs-3851	76	16	of	of	ADP
gs-3851	76	17	the	the	DET
gs-3851	76	18	pipe	pipe	NOUN
gs-3851	76	19	rate	rate	NOUN
gs-3851	76	20	is	be	AUX
gs-3851	76	21	s.	s.	PROPN
gs-3851	76	22	atmospheric	atmospheric	ADJ
gs-3851	76	23	pressure	pressure	NOUN
gs-3851	76	24	p0	p0	NOUN
gs-3851	76	25	p0	p0	PROPN
gs-3851	76	26	l	l	PROPN
gs-3851	76	27	ვერცხლისწყალი	ვერცხლისწყალი	NOUN
gs-3851	76	28	l	l	NOUN
gs-3851	76	29	l	l	NOUN
gs-3851	76	30	x	x	SYM
gs-3851	76	31	აირი	აირი	ADJ
gs-3851	76	32	fig	fig	NOUN
gs-3851	76	33	.	.	PUNCT
gs-3851	77	1	4	4	NUM
gs-3851	77	2	the	the	DET
gs-3851	77	3	solution	solution	NOUN
gs-3851	77	4	of	of	ADP
gs-3851	77	5	the	the	DET
gs-3851	77	6	problem	problem	NOUN
gs-3851	77	7	:	:	PUNCT
gs-3851	77	8	afer	afer	VERB
gs-3851	77	9	the	the	DET
gs-3851	77	10	gas	gas	NOUN
gs-3851	77	11	is	be	AUX
gs-3851	77	12	expanded	expand	VERB
gs-3851	77	13	,	,	PUNCT
gs-3851	77	14	denote	denote	VERB
gs-3851	77	15	the	the	DET
gs-3851	77	16	mole	mole	NOUN
gs-3851	77	17	length	length	NOUN
gs-3851	77	18	by	by	ADP
gs-3851	77	19	x	x	X
gs-3851	77	20	,	,	PUNCT
gs-3851	77	21	which	which	PRON
gs-3851	77	22	is	be	AUX
gs-3851	77	23	occupied	occupy	VERB
gs-3851	77	24	by	by	ADP
gs-3851	77	25	the	the	DET
gs-3851	77	26	gas	gas	NOUN
gs-3851	77	27	.	.	PUNCT
gs-3851	78	1	in	in	ADP
gs-3851	78	2	this	this	DET
gs-3851	78	3	case	case	NOUN
gs-3851	78	4	,	,	PUNCT
gs-3851	78	5	the	the	DET
gs-3851	78	6	gas	gas	NOUN
gs-3851	78	7	pressure	pressure	NOUN
gs-3851	78	8	is	be	AUX
gs-3851	78	9	determined	determine	VERB
gs-3851	78	10	the	the	DET
gs-3851	78	11	sum	sum	NOUN
gs-3851	78	12	of	of	ADP
gs-3851	78	13	the	the	DET
gs-3851	78	14	pressures	pressure	NOUN
gs-3851	78	15	generated	generate	VERB
gs-3851	78	16	on	on	ADP
gs-3851	78	17	the	the	DET
gs-3851	78	18	gas	gas	NOUN
gs-3851	78	19	by	by	ADP
gs-3851	78	20	the	the	DET
gs-3851	78	21	external	external	ADJ
gs-3851	78	22	atmospheric	atmospheric	ADJ
gs-3851	78	23	pressure	pressure	NOUN
gs-3851	78	24	and	and	CCONJ
gs-3851	78	25	the	the	DET
gs-3851	78	26	fluid	fluid	NOUN
gs-3851	78	27	:	:	PUNCT
gs-3851	78	28	p0	p0	NOUN
gs-3851	78	29	=	=	NOUN
gs-3851	78	30	pgl	pgl	NOUN
gs-3851	78	31	where	where	SCONJ
gs-3851	78	32	p	p	NOUN
gs-3851	78	33	is	be	AUX
gs-3851	78	34	the	the	DET
gs-3851	78	35	density	density	NOUN
gs-3851	78	36	of	of	ADP
gs-3851	78	37	mercury	mercury	NOUN
gs-3851	78	38	.	.	PUNCT
gs-3851	79	1	the	the	DET
gs-3851	79	2	heat	heat	NOUN
gs-3851	79	3	pressure	pressure	NOUN
gs-3851	79	4	is	be	AUX
gs-3851	79	5	conditioned	condition	VERB
gs-3851	79	6	by	by	ADP
gs-3851	79	7	the	the	DET
gs-3851	79	8	height	height	NOUN
gs-3851	79	9	of	of	ADP
gs-3851	79	10	pressure	pressure	NOUN
gs-3851	79	11	(	(	PUNCT
gs-3851	79	12	l	l	NOUN
gs-3851	79	13	-	-	NOUN
gs-3851	79	14	x	x	NOUN
gs-3851	79	15	)	)	PUNCT
gs-3851	79	16	.	.	PUNCT
gs-3851	80	1	georgian	georgian	ADJ
gs-3851	80	2	scientists/ქართველი	scientists/ქართველი	PROPN
gs-3851	80	3	მეცნიერები	მეცნიერები	NOUN
gs-3851	80	4	ტ.	ტ.	VERB
gs-3851	80	5	7	7	NUM
gs-3851	80	6	n	n	DET
gs-3851	80	7	2	2	NUM
gs-3851	80	8	,	,	PUNCT
gs-3851	80	9	2025	2025	NUM
gs-3851	80	10	466	466	NUM
gs-3851	80	11	then	then	ADV
gs-3851	80	12	,	,	PUNCT
gs-3851	80	13	according	accord	VERB
gs-3851	80	14	to	to	ADP
gs-3851	80	15	pascal	pascal	PROPN
gs-3851	80	16	's	's	PART
gs-3851	80	17	law	law	NOUN
gs-3851	80	18	,	,	PUNCT
gs-3851	80	19	the	the	DET
gs-3851	80	20	gas	gas	NOUN
gs-3851	80	21	pressure	pressure	NOUN
gs-3851	80	22	will	will	AUX
gs-3851	80	23	be	be	AUX
gs-3851	80	24	equal	equal	ADJ
gs-3851	80	25	to	to	PART
gs-3851	80	26	:	:	PUNCT
gs-3851	80	27	p=	p=	VERB
gs-3851	80	28			ADP
gs-3851	80	29	g(2l	g(2l	PROPN
gs-3851	80	30	–	–	PUNCT
gs-3851	80	31	x	x	X
gs-3851	80	32	)	)	PUNCT
gs-3851	80	33	the	the	DET
gs-3851	80	34	gas	gas	NOUN
gs-3851	80	35	volume	volume	NOUN
gs-3851	80	36	:	:	PUNCT
gs-3851	80	37	v	v	X
gs-3851	80	38	=	=	NOUN
gs-3851	80	39	s(l+x	s(l+x	NOUN
gs-3851	80	40	)	)	PUNCT
gs-3851	80	41	ll	ll	AUX
gs-3851	80	42	v	v	VERB
gs-3851	80	43	v	v	NUM
gs-3851	80	44	l	l	NOUN
gs-3851	80	45	s	s	NOUN
gs-3851	80	46	v	v	NOUN
gs-3851	80	47	x	x	NOUN
gs-3851	80	48			PROPN
gs-3851	80	49	0	0	NUM
gs-3851	81	1	we	we	PRON
gs-3851	81	2	should	should	AUX
gs-3851	81	3	take	take	VERB
gs-3851	81	4	into	into	ADP
gs-3851	81	5	account	account	NOUN
gs-3851	81	6	that	that	SCONJ
gs-3851	81	7	sl	sl	PROPN
gs-3851	81	8	=	=	SYM
gs-3851	81	9	v0	v0	NOUN
gs-3851	81	10	–	–	PUNCT
gs-3851	81	11	is	be	AUX
gs-3851	81	12	the	the	DET
gs-3851	81	13	initial	initial	ADJ
gs-3851	81	14	volume	volume	NOUN
gs-3851	81	15	of	of	ADP
gs-3851	81	16	the	the	DET
gs-3851	81	17	gas	gas	NOUN
gs-3851	81	18	.	.	PUNCT
gs-3851	82	1	we	we	PRON
gs-3851	82	2	shall	shall	AUX
gs-3851	82	3	obtain	obtain	VERB
gs-3851	82	4	:	:	PUNCT
gs-3851	82	5			PROPN
gs-3851	82	6			NUM
gs-3851	82	7			PRON
gs-3851	82	8			PROPN
gs-3851	82	9			PROPN
gs-3851	82	10			NOUN
gs-3851	83	1			PROPN
gs-3851	83	2	l	l	PROPN
gs-3851	83	3	s	s	PROPN
gs-3851	83	4	v	v	NUM
gs-3851	83	5	gpxglgp	gpxglgp	NOUN
gs-3851	83	6			NOUN
gs-3851	83	7	022	022	PROPN
gs-3851	83	8	gl	gl	PROPN
gs-3851	83	9	s	s	PROPN
gs-3851	83	10	v	v	PROPN
gs-3851	83	11	gpp	gpp	NOUN
gs-3851	83	12			NOUN
gs-3851	83	13			NUM
gs-3851	83	14	02	02	NUM
gs-3851	83	15	03	03	NUM
gs-3851	83	16	0	0	NUM
gs-3851	83	17	0	0	NUM
gs-3851	84	1	p	p	NOUN
gs-3851	84	2	v	v	ADP
gs-3851	84	3	p	p	X
gs-3851	84	4	p	p	X
gs-3851	84	5			PUNCT
gs-3851	84	6	the	the	DET
gs-3851	84	7	form	form	NOUN
gs-3851	84	8	of	of	ADP
gs-3851	84	9	the	the	DET
gs-3851	84	10	equation	equation	NOUN
gs-3851	84	11	coincides	coincide	VERB
gs-3851	84	12	with	with	ADP
gs-3851	84	13	the	the	DET
gs-3851	84	14	expression	expression	NOUN
gs-3851	84	15	we	we	PRON
gs-3851	84	16	obtained	obtain	VERB
gs-3851	84	17	for	for	ADP
gs-3851	84	18	the	the	DET
gs-3851	84	19	general	general	ADJ
gs-3851	84	20	case	case	NOUN
gs-3851	84	21	:	:	PUNCT
gs-3851	84	22	the	the	DET
gs-3851	84	23	maximum	maximum	ADJ
gs-3851	84	24	temperature	temperature	NOUN
gs-3851	84	25	is	be	AUX
gs-3851	84	26	reached	reach	VERB
gs-3851	84	27	in	in	ADP
gs-3851	84	28	the	the	DET
gs-3851	84	29	process	process	NOUN
gs-3851	84	30	for	for	ADP
gs-3851	84	31	the	the	DET
gs-3851	84	32	value	value	NOUN
gs-3851	84	33	of	of	ADP
gs-3851	84	34	2	2	NUM
gs-3851	84	35	3	3	NUM
gs-3851	84	36	0vv	0vv	NOUN
gs-3851	84	37			NOUN
gs-3851	84	38	.	.	PUNCT
gs-3851	85	1	using	use	VERB
gs-3851	85	2	the	the	DET
gs-3851	85	3	above	above	ADJ
gs-3851	85	4	resulting	result	VERB
gs-3851	85	5	expression	expression	NOUN
gs-3851	85	6	t	t	PROPN
gs-3851	85	7	=	=	SYM
gs-3851	85	8	t(v	t(v	PROPN
gs-3851	85	9	)	)	PUNCT
gs-3851	85	10	and	and	CCONJ
gs-3851	85	11	taking	take	VERB
gs-3851	85	12	into	into	ADP
gs-3851	85	13	account	account	NOUN
gs-3851	85	14	the	the	DET
gs-3851	85	15	data	datum	NOUN
gs-3851	85	16	of	of	ADP
gs-3851	85	17	this	this	DET
gs-3851	85	18	problem	problem	NOUN
gs-3851	85	19	,	,	PUNCT
gs-3851	85	20	we	we	PRON
gs-3851	85	21	shall	shall	AUX
gs-3851	85	22	obtain	obtain	VERB
gs-3851	85	23	:	:	PUNCT
gs-3851	85	24	r	r	NOUN
gs-3851	85	25	povo	povo	PROPN
gs-3851	85	26	t	t	PROPN
gs-3851	85	27	4	4	PROPN
gs-3851	85	28	9	9	NUM
gs-3851	85	29	max	max	NOUN
gs-3851	85	30			NUM
gs-3851	85	31	8	8	NUM
gs-3851	85	32	9	9	NUM
gs-3851	85	33	max	max	NOUN
gs-3851	85	34	to	to	ADP
gs-3851	85	35	t	t	PROPN
gs-3851	85	36			NUM
gs-3851	85	37	;	;	PUNCT
gs-3851	85	38	while	while	SCONJ
gs-3851	85	39	povoq	povoq	ADJ
gs-3851	85	40	32	32	NUM
gs-3851	85	41	49	49	NUM
gs-3851	85	42			PROPN
gs-3851	85	43	references	reference	NOUN
gs-3851	85	44	:	:	PUNCT
gs-3851	85	45	1.statistial	1.statistial	NUM
gs-3851	85	46	thermodynamics	thermodynamic	NOUN
gs-3851	85	47	.	.	PUNCT
gs-3851	86	1	dmitry	dmitry	PROPN
gs-3851	86	2	garanin	garanin	PROPN
gs-3851	86	3	thermodynamics	thermodynamic	NOUN
gs-3851	86	4	,	,	PUNCT
gs-3851	86	5	2021	2021	NUM
gs-3851	86	6	.	.	PUNCT
gs-3851	87	1	https://ww.lehman.edu/faculty/dgaranin/statistical_thermodynamics/thermodynamics.pdf	https://ww.lehman.edu/faculty/dgaranin/statistical_thermodynamics/thermodynamics.pdf	ADJ
gs-3851	87	2	2.properties	2.properties	NUM
gs-3851	87	3	of	of	ADP
gs-3851	87	4	gases	gas	NOUN
gs-3851	87	5	ai	ai	VERB
gs-3851	87	6	shaoxian	shaoxian	ADJ
gs-3851	87	7	,	,	PUNCT
gs-3851	87	8	wen	wen	PROPN
gs-3851	87	9	shizhu	shizhu	PROPN
gs-3851	87	10	,	,	PUNCT
gs-3851	87	11	in	in	ADP
gs-3851	87	12	gas	gas	NOUN
gs-3851	87	13	thermohydrodynamic	thermohydrodynamic	ADJ
gs-3851	87	14	lubrication	lubrication	NOUN
gs-3851	87	15	and	and	CCONJ
gs-3851	87	16	seals	seal	NOUN
gs-3851	87	17	,	,	PUNCT
gs-3851	87	18	2019	2019	NUM
gs-3851	87	19	.	.	PUNCT
gs-3851	88	1	https://www.sciencedirect.com/topics/engineering/molar-heat-capacity	https://www.sciencedirect.com/topics/engineering/molar-heat-capacity	NOUN