Match the List-I with List-II List-I List-II (A) Triatomic rigid gas (I) (B) Diatomic non-rigid gas (II) (C) Monoatomic gas (III) (D) Diatomic rigid gas (IV) Choose the correct answer from the options given below: [2025]

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Q.
Match the List-I with List-II

List-I List-II

(A) Triatomic rigid gas (I) $\frac{C_{p}}{C_{v}} = \frac{5}{3}$

(B) Diatomic non-rigid gas (II) $\frac{C_{p}}{C_{v}} = \frac{7}{5}$

(C) Monoatomic gas (III) $\frac{C_{p}}{C_{v}} = \frac{4}{3}$

(D) Diatomic rigid gas (IV) $\frac{C_{p}}{C_{v}} = \frac{9}{7}$

Choose the correct answer from the options given below: [2025]

1 A-III, B-IV, C-I, D-II

2 A-III, B-II, C-IV, D-I

3 A-II, B-IV, C-I, D-III

4 A-IV, B-II, C-III, D-I

Ans.
(1)

$γ = 1 + \frac{2}{f}$ , f is degree of freedom

Triatomic rigid gas $f = 6 \Rightarrow γ = 1 + \frac{2}{6} = \frac{4}{3}$ (Triatomic)

Diatomic non-rigid gas $f = 7 \Rightarrow γ = 1 + \frac{2}{7} = \frac{9}{7}$ (Diatomic, non-rigid)

Diatomic rigid gas $f = 5 \Rightarrow γ = 1 + \frac{2}{5} = \frac{7}{5}$ (Diatomic, rigid)

Monoatomic rigid gas $f = 3 \Rightarrow γ = 1 + \frac{2}{3} = \frac{5}{3}$ (Monoatomic, rigid)

Solution

1 A-III, B-IV, C-I, D-II

2 A-III, B-II, C-IV, D-I

3 A-II, B-IV, C-I, D-III

4 A-IV, B-II, C-III, D-I

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	List-I		List-II
(A)	Triatomic rigid gas	(I)	$\frac{C_{p}}{C_{v}} = \frac{5}{3}$
(B)	Diatomic non-rigid gas	(II)	$\frac{C_{p}}{C_{v}} = \frac{7}{5}$
(C)	Monoatomic gas	(III)	$\frac{C_{p}}{C_{v}} = \frac{4}{3}$
(D)	Diatomic rigid gas	(IV)	$\frac{C_{p}}{C_{v}} = \frac{9}{7}$

Solution

Q. Match the List-I with List-II List-I List-II (A) Triatomic rigid gas (I) CpCv=53 (B) Diatomic non-rigid gas (II) CpCv=75 (C) Monoatomic gas (III) CpCv=43 (D) Diatomic rigid gas (IV) CpCv=97 Choose the correct answer from the options given below: [2025]

1 A-III, B-IV, C-I, D-II

2 A-III, B-II, C-IV, D-I

3 A-II, B-IV, C-I, D-III

4 A-IV, B-II, C-III, D-I

Ans. (1) γ=1+2f, f is degree of freedom Triatomic rigid gas f=6 ⇒ γ=1+26=43 (Triatomic) Diatomic non-rigid gas f=7 ⇒ γ=1+27=97 (Diatomic, non-rigid) Diatomic rigid gas f=5 ⇒ γ=1+25=75 (Diatomic, rigid) Monoatomic rigid gas f=3 ⇒ γ=1+23=53 (Monoatomic, rigid)

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