MCQ
For a certain gas, the ratio of specific heats is given to be $\gamma = 1.5$. For this gas
- A${C_v} = \frac{{3R}}{J}$
- ✓${C_p} = \frac{{3R}}{J}$
- C${C_p} = \frac{{5R}}{J}$
- D${C_V} = \frac{{5R}}{J}$
✓
Answer
Correct option: B.
${C_p} = \frac{{3R}}{J}$
b
${C_P} - {C_V} = \frac{R}{J}$
${C_P} - {C_V} = \frac{R}{J}$
$\Rightarrow$ ${C_P} = \frac{R}{J} + {C_V} = \frac{R}{J} + \frac{R}{{J(\gamma - 1)}}$
$\Rightarrow$ ${C_P} = \frac{R}{J}\left( {\frac{\gamma }{{\gamma - 1}}} \right) = \frac{R}{J}\left( {\frac{{1.5}}{{1.5 - 1}}} \right) = \frac{{3R}}{J}$
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