Q135 / 150 · MHT CET 2021 (24 Sep Shift 2) · Physics
Which one of the following is NOT a correct expression for an ideal gas?
$\left[\mathrm{C}_{\mathrm{p}}=\right.$ Molar specific heat of a gas at constant pressure,
$\mathrm{C}_{\mathrm{V}}=$ Molar specific heat of a gas at constant volume,
$\gamma=$ Ratio of two specific heats of a gas, $\mathrm{R}=$ Universal gas
constant]
- Correct answerA$\mathrm{C}_{\mathrm{v}}=\mathrm{C}_{\mathrm{p}}+\mathrm{R}$
- B$\mathrm{R}=\mathrm{C}_{\mathrm{V}}(\gamma-1)$
- C$\frac{\mathrm{C}_{\mathrm{v}}}{\mathrm{C}_{\mathrm{p}}}=\frac{1}{\gamma}$
- D$\mathrm{R}=\frac{\mathrm{C}_{\mathrm{p}}(\gamma-1)}{\gamma}$
Solution
$C_P$ and $C_V$ are related as: $C_P=C_V+R$ Hence expression in (A) is not correct.
Hence, the correct answer is option: 'A'.