According to law of equipartition of energy the molar… — JEE Main 2023 Physics PYQ

JEE Main 2023 · 25 Jan · Shift 2

According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is:-

A.
$\frac{3}{2}R$
B.
$\frac{9}{2}R$
C.
$\frac{5}{2}R$
D.
$\frac{7}{2}R$

Show answer and solution

Correct option: D

Solution

A diatomic molecule has 3 translational + 2 rotational = 5 degrees of freedom, giving Cv = (5/2)R. Each vibrational mode contributes 2 quadratic terms (kinetic + potential), adding 1 full R to Cv. So with one vibrational mode, Cv = (5/2)R + R = (7/2)R.

[JEE Main 2023 · 25 Jan · Shift 2]

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