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AP EAMCET · PHYSICS · Thermodynamics

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

  1. A \(60 \mathrm{~J}\)
  2. B \(150 \mathrm{~J}\)
  3. C \(90 \mathrm{~J}\)
  4. D \(210 \mathrm{~J}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(60 \mathrm{~J}\)

Step-by-step Solution

Detailed explanation

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, \(\mathrm{Q}=\mathrm{C}_{\mathrm{p}} \Delta \mathrm{T}=210\) \(\frac{7}{2} \mathrm{R} \Delta \mathrm{T}=210\) \(R \Delta T=60\)…