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JEE Main 20172 April

Exam: JEE Main
Year: 2017
Date: 2 April
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2017 · 2 April · Physics · Kinetic Theory of Gases

C _ p - C _ v = (R)/(M) and C _ v are specific heats at constant...

{C}_{p} - {C}_{v} = \dfrac{R}{M}

and

{C}_{v}

are specific heats at constant pressure and constant volume respectively. It is observed that,

{C}_{p} - {C}_{v} = a

for hydrogen gas and

{C}_{p} - {C}_{v} = b

for nitrogen gas. The correct relation between

a

and

b

is:

Options

A $a = 28b$
B $a = \dfrac{1}{14}b$
C $a = b$
D $a = 14b$

Correct answer

D. $a = 14b$

Step-by-step solution

{C}_{p} - {C}_{v} = \dfrac{R}{M}

For hydrogen

{C}_{p} - {C}_{v} = \dfrac{R}{2} = a

For nitrogen

{C}_{p} - {C}_{v} = \dfrac{R}{28} = b

\dfrac{a}{b} = 14

a = 14b

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