A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. B is the specific heat ratio of polyatomic gas B having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If A B = (1 + 1n ), then the value of n is .
3
= 1 + 2f
Gas A: f = 3 A = 53
Gas B: f = 3 + 3 + 2 × 1 = 8 (each vibrational mode gives 2) B = 1 + 28 = 54
A B = 5/35/4 = 43 = 1 + 13
n = 3
Answer: 3
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