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Q.

A diatomic gas having $C_{P} = \frac{7}{2} R$ and $C_{V} = \frac{5}{2} R,$ is heated at constant pressure. The ratio dU:dQ:dW,

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a

3:5:2

b

5:7:2

c

5:7:3

d

3:7:2

answer is B.

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Detailed Solution

$C_{P} = \frac{7}{2} R, C_{V} = \frac{5}{2} R$

$d u = n C_{V} d t = n \times \frac{5}{2} R d T$

$d Q = n C_{P} d T = n \times \frac{7}{2} R d T$

$d w = n R d T$

$d U : d Q : d W = \frac{5}{2} : \frac{7}{2} : 1$

$= 5 : 7 : 2$

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