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Kinetic Theory

JEE Main level, single correct, medium

114 of 168

Question 114 of 168

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

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Answer: (D) $a=14b$

{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

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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JEE Main Physics practice question on Kinetic Theory (Degree of Freedom and Specific Heat), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.