Q138 / 160 · AP EAMCET 2023 (16 May Shift 1) · Physics

The heat energy supplied to a diatomic gas at constant pressure is $210 \mathrm{~J}$, then the work done by the gas is

  • Correct answer
    A
    $60 \mathrm{~J}$
  • B
    $150 \mathrm{~J}$
  • C
    $90 \mathrm{~J}$
  • D
    $210 \mathrm{~J}$

Solution

Heat $Q=210 \mathrm{~J}$ For diatomic $\begin{aligned} & C_V=\frac{5}{2} R \\ & C_P=R+C_v \\ & =R+\frac{5}{2} R=\frac{7}{2} R\end{aligned}$ Heat, $\mathrm{Q}=\mathrm{C}_{\mathrm{p}} \Delta \mathrm{T}=210$ $\frac{7}{2} \mathrm{R} \Delta \mathrm{T}=210$ $R \Delta T=60$ Work done by the gas, $\mathrm{W}=\mathrm{P} \Delta \mathrm{V}$ $=\mathrm{R} \Delta \mathrm{T}=60 \mathrm{~J}$

Hence, the correct answer is option: 'A'.

Relevant Questions