Q158 / 170 · Manipal (MET) 2019 · Physics

A thermodynamic system is taken through the cycle PQRSP process. The net work done by the system is Figure

  • A
    20 J
  • Correct answer
    B
    $-20 \mathrm{~J}$
  • C
    400 J
  • D
    $-374 \mathrm{~J}$

Solution

$\begin{aligned} & \text { } W_{P Q}=P \Delta V \\ & =100 \times 10^3(300-100) \times 10^{-6} \\ & =100 \times 10^{-3} \times 200=20 \mathrm{~J} \\ & W_{Q R}=0(\because V \text { is constant }) \\ & W_{R S}=P \Delta V \\ & =200 \times 10^3(100-300) \times 10^{-6} \\ & =-200 \times 10^{-3} \times 200=-40 \mathrm{~J} \\ & W_{S P}=0 \end{aligned}$
Net work done $=20+(-40)=-20 \mathrm{~J}$

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

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