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Q.

A diatomic gas is kept in a closed container of constant volume. Due to increase in temperature some molecules dissociates into atoms. Neglecting vibrational degrees of freedom:-

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a

Specific heat capacity of mixture can change by a maximum value of 8%

b

Specific heat capacity of mixture will increase.

c

Specific heat capacity of mixture can change by a maximum value of 20%

d

Specific heat capacity of mixture will decrease

answer is A, D.

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Detailed Solution

$2 {(C_{V})}_{m o n o a t o m i c} > {(C_{V})}_{d i a t o m i c}$

Maximum change $= \frac{(2) (\frac{3 R}{2}) - (1) (\frac{5 R}{2})}{\frac{5 R}{2}} = \frac{1}{5}$
% change = 20%

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