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AP EAMCET · PHYSICS · Thermodynamics

Initially the pressure of 1 mole of an ideal gas is \(10^5 \mathrm{Nm}^{-2}\) and its volume is 16 litre. When it is adiabatically compressed, its final volume is 2 litre. Work done on the gas is \(\left[\right.\) molar specific heat at constant volume \(\left.=\frac{3 R}{2}\right]\)

  1. A 72 kJ
  2. B 7.2 kJ
  3. C 720 kJ
  4. D 360 kJ
Verified Solution

Answer & Solution

Correct Answer

(B) 7.2 kJ

Step-by-step Solution

Detailed explanation

\begin{aligned} & \text { } P_1=10^5 \mathrm{Nm}^{-2}, \mathrm{~V}_1=16 \text { lit, } \mathrm{V}_2=2 \text { lit, } \mathrm{C}_{\mathrm{v}}=\frac{3 \mathrm{R}}{2} \\ & \therefore \mathrm{C}_{\mathrm{p}}=\mathrm{C}_{\mathrm{v}}+\mathrm{R}=\left(\frac{3…