The specific heat capacity of a monatomic gas at constant volume is $\mathrm{x} \%$ of its specific heat…

The specific heat capacity of a monatomic gas at constant volume is $\mathrm{x} \%$ of its specific heat capacity at constant pressure. Then $x=$
  1. $40$
  2. $50$
  3. $60$
  4. $75$

Solution

Specific heat capacity at constant volume $=\mathrm{x} \% \mathrm{x}$ specific heat capacity at constant pressure $\begin{aligned} & C_V=x \% \times C_P \\ & \frac{3}{2} R=x \% \times \frac{5}{2} R \Rightarrow x=60 \end{aligned}$

Asked in: AP EAMCET 2023 (15 May Shift 2)

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