Kinetic Theory - Result Question 37

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37. For a certain gas the ratio of specific heats is given to be $\gamma=1.5$. For this gas

======= ####37. For a certain gas the ratio of specific heats is given to be $\gamma=1.5$. For this gas

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/kinetic-theory/kinetic-theory—result-question-37.md (a) $C_V=3 R / J$

(b) $C_P=3 R / J$

(c) $C_P=5 R / J$

(d) $C_V=5 R / J$

[1990]

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Answer:

Correct Answer: 37. (b)

Solution:

(b) $\gamma=\frac{C_P}{C_V}=\frac{15}{10}=\frac{3}{2} \Rightarrow C_V=\frac{2}{3} C_P$

$C_P-C_V=\frac{R}{J} \Rightarrow C_P-\frac{2}{3} C_P=\frac{R}{J}$

$\Rightarrow \frac{C_P}{3}=\frac{R}{J} \Rightarrow C_P=\frac{3 R}{J}$

38 .

(d) $C_p=\frac{5}{2} R$ and $C_v=\frac{3}{2} R$

We know that $Q_v=n C_v \Delta T$ and $Q_p=n C_p \Delta T$

$\Rightarrow \frac{Q_v}{Q_p}=\frac{3}{5}$.

Given $Q_p=207 J \Rightarrow Q_v \cong 124 J$