Match Column - I and Column - II and choose the correct match from the given choices. Column - I Column - II (A) Root mean square speed of gas molecules (P) 1/3 nmv² (B) Pressure exerted by ideal gas (Q) √(3RT/M) (C) Average kinetic energy of a molecule (R) 5/2 RT (D) Total internal energy of 1 mole of a diatomic gas (S) 3/2 kBT (a) (A) - (R), (B) - (Q), (C) - (P), (D) - (S) (b) (A) - (R), (B) - (P), (C) - (S), (D) - (Q) (c) (A) - (Q), (B) - (R), (C) - (S), (D) - (P) (d) (A) - (Q), (B) - (P), (C) - (S), (D) - (R)

Answer: (d). (A) vrms = √(3RT/M) → (Q) (B) P = 1/3nmv² → (P) (C) Average KE of a molecule = 3/2kBT → (S) (D) Diatomic gas has 5 degrees of freedom, U = 5/2RT per mole → (R) So the answer is (d) (A)-(Q), (B)-(P), (C)-(S), (D)-(R).

Match Column - I and Column - II and choose the correct match from… | NEET 2021

Q31NEET 2021Medium

Pressure & Kinetic Energy of a Gas

Match Column - I and Column - II and choose the correct match from the given choices.

	Column - I		Column - II
(A)	Root mean square speed of gas molecules	(P)	$\frac{1}{3}\ nm\bar{v}^{2}$
(B)	Pressure exerted by ideal gas	(Q)	$\sqrt{\frac{3RT}{M}}$
(C)	Average kinetic energy of a molecule	(R)	$\frac{5}{2}\ RT$
(D)	Total internal energy of 1 mole of a diatomic gas	(S)	$\frac{3}{2}\ k_BT$

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Answer: (d)

(A) $v_{rms} = \sqrt{\frac{3RT}{M}}$ → (Q)
(B) $P = \frac{1}{3}nm\bar{v}^2$ → (P)
(C) Average KE of a molecule $= \frac{3}{2}k_BT$ → (S)
(D) Diatomic gas has 5 degrees of freedom, $U = \frac{5}{2}RT$ per mole → (R)
So the answer is (d) (A)-(Q), (B)-(P), (C)-(S), (D)-(R).

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