Q162 / 180 · KCET 2019 · Physics

A thermodynamic system undergoes a cyclic process \( A B C \) as shown in the diagram. The work
done by the system per cycle is
Figure

  • Correct answer
    A
    \( -750 \mathrm{~J} \)
  • B
    \( 750 \mathrm{~J} \)
  • C
    \( 1250 \mathrm{~J} \)
  • D
    \( -1250 \mathrm{~J} \)

Solution

(A)
Work done \( =p \times \Delta v \)
Work done = Area of triangle ABC
\( \therefore W=\frac{1}{2}(10-5) \times(100-400) \)
\( =\frac{5}{2} \times(-300)=-750 \mathrm{~J} \)
The negative sign means the work is done by the system.

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

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