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Question

Question: A system is taken through a cyclic process represented by a circle as shown. The heat absorbed by th...

A system is taken through a cyclic process represented by a circle as shown. The heat absorbed by the system is –

A

p × 103 J

B

π2\frac { \pi } { 2 }J

C

4p × 102 J

D

p J

Answer

π2\frac { \pi } { 2 }J

Explanation

Solution

In cyclic process DQ = Work done = Area inside the closed curve. Treat the circle as an ellipse of area = π4\frac { \pi } { 4 }(P2 – P1) (V2 – V1)

̃ DQ = π4\frac { \pi } { 4 } {(150–50) × 103} = π2\frac { \pi } { 2 } J