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JEE Main 2021 (25 Jul, Shift 1) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2021 (25 Jul, Shift 1)

Q41JEE Main 2021 · 25 JUL · SHIFT 1Medium

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

For a gas CP $-$ CV = R in a state P and CP $-$ CV = 1.10 R in a state Q, TP and TQ are the temperatures in two different states P and Q respectively. Then

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Answer: (d)

$C_P - C_V = R$ holds exactly only for an ideal gas.
A real gas behaves most ideally at high temperature (and low pressure).
In state P the gas follows $C_P - C_V = R$ (ideal), in Q it deviates (1.10 R), so Q is at lower temperature.
So the answer is (d) $T_P > T_Q$ .

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