MCQ
A system is taken through a cyclic process represented by a circle as shown. The heat absorbed by the system is
  • A
    $\pi \times {10^3}J$
  • $\frac{\pi }{2}J$
  • C
    $4\pi \times {10^2}J$
  • D
    $\pi \,J$

Answer

Correct option: B.
$\frac{\pi }{2}J$
b
(b) In cyclic process $\Delta  Q =$ Work done = Area inside the closed curve.

Treat the circle as an ellipse of area $ = \frac{\pi }{4}({P_2} - {P_1})\,({V_2} - {V_1})$

$\Rightarrow \Delta Q = \frac{\pi }{4}\{ (150 - 50) \times {10^3}\} = \frac{\pi }{2}J$

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