Kinetic Theory Ques 32
32. For a certain gas the ratio of specific heats is given to be $\gamma=1.5$. For this gas
[1990]
(a) $C_V= \frac{3}{2}R / J$
(b) $C_P= \frac{3}{2} R / J$
(c) $C_P=5 , \text{J}/\text{mol}\cdot\text{K}$
(d) $C_V=5/2 R / J$
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Answer:
Correct Answer: 32.(b)
Solution:
- (b) $\gamma=\frac{C_P}{C_V}=\frac{15}{10}=\frac{3}{2} \Rightarrow C_V=\frac{2}{3} C_P$
$C_P-C_V=\frac{R}{J} \Rightarrow C_P-\frac{2}{3} R=\frac{R}{J}$
$\Rightarrow \frac{C_P}{3}=\frac{R}{J} \Rightarrow C_P=\frac{3 R}{J}$
BETA
