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Q. For diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities ?

JEE MainJEE Main 2019Thermodynamics

Solution:

At higher temperature, rotational degree of freedom becomes active.
$C_{P} = \frac{7}{2} R $ (Independent of P)
$C_{V} = \frac{5}{2} R $ (Independent of V)
Variation of $U$ vs $T$ is similar as $C_V$ vs $T$.