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JEE Main 2017 · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2017

Q55JEE Main 2017Medium

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

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

CP – Cv = a for hydrogen gas

CP – Cv = b for nitrogen gas

The correct relation between a and b is

Show answer and solution

Answer: (d)

Per unit mass: $C_P - C_V = \dfrac{R}{M}$ .
Hydrogen: $a = \dfrac{R}{2}$ ; nitrogen: $b = \dfrac{R}{28}$ .
$\dfrac{a}{b} = \dfrac{28}{2} = 14$
So the answer is (d) $a = 14b$ .

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