Answer the following by appropriately matching the lists based on the information given in the paragraph.
In a thermodynamics process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by $T Δ X,$ where $T$ is temperature of the system and $Δ X$ is the infinitesimal change in a thermodynamic quantity $X$ of the system. For a mole of monatomic ideal gas $X = \frac{3}{2} R l n (\frac{T}{T_{A}}) + R l n (\frac{V}{V_{A}}) .$ Here, $R$ is gas constant, $V$ is volume of gas, $T_{A}$ and $V_{A}$ are constants.
The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.
Column - I Column - II
(a) Work done by the system in process $1 \to 2 \to 3$ (p) $\frac{1}{3} R T_{0} l n 2$
(b) Change in internal energy in process $1 \to 2 \to 3$ (q) $\frac{1}{3} R T_{0}$
(c) Heat absorbed by the system in process $1 \to 2 \to 3$ (r) $R T_{0}$
(d) Heat absorbed by the system in process $1 \to 2$ (s) $\frac{4}{3} R T_{0}$
(t) $\frac{1}{3} R T_{0} (3 + l n 2)$
(u) $\frac{5}{6} R T_{0}$

If the process on one mole of monatomic ideal gas is as shown in the $P V$ -diagram with $P_{0} V_{0} = \frac{1}{3} R T_{0},$ the correct match is

Question

Answer the following by appropriately matching the lists based on the information given in the paragraph.
In a thermodynamics process on an ideal monatomic gas, the infinitesimal heat absorbed by the gas is given by

T Δ X,

where

T

is temperature of the system and

Δ X

is the infinitesimal change in a thermodynamic quantity

X

of the system. For a mole of monatomic ideal gas

X = \frac{3}{2} R l n (\frac{T}{T_{A}}) + R l n (\frac{V}{V_{A}}) .

Here,

R

is gas constant,

V

is volume of gas,

T_{A}

and

V_{A}

are constants.
The List-I below gives some quantities involved in a process and List-II gives some possible values of these quantities.

	Column - I		Column - II
(a)	Work done by the system in process $1 \to 2 \to 3$	(p)	$\frac{1}{3} R T_{0} l n 2$
(b)	Change in internal energy in process $1 \to 2 \to 3$	(q)	$\frac{1}{3} R T_{0}$
(c)	Heat absorbed by the system in process $1 \to 2 \to 3$	(r)	$R T_{0}$
(d)	Heat absorbed by the system in process $1 \to 2$	(s)	$\frac{4}{3} R T_{0}$
		(t)	$\frac{1}{3} R T_{0} (3 + l n 2)$
		(u)	$\frac{5}{6} R T_{0}$

If the process on one mole of monatomic ideal gas is as shown in the

P V

-diagram with

P_{0} V_{0} = \frac{1}{3} R T_{0},

the correct match is

Accepted Answer

(D) a-q, b-r, c-s, d-u

Answer

(A) a-s, b-r, c-q, d-t

Answer

(B) a-q, b-r, c-p, d-u

Answer

(C) a-q, b-s, c-r, d-u

	List I		List II
A.	m =	P.	$\frac{1}{2}$
B.	Maximum area of ΔEFG is	Q.	4
C.	y₀ =	R.	2
D.	y₁=	S.	1

Answer & Solution

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