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Question

Work done for the process A B shown in the figure is


A
1 J
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B
1.5 J
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C
4.5 J
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D
0.3 J
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Solution

The correct option is D 0.3 J
From the data given in the question
Pressure at state A is (P1)=10 kPa
Pressure at state B is (P2)=30 kPa
Volume at state A is (V1)=10×106 m3
Volume at state B is (V2)=25×106 m3
We know that, area under P - V curve with V-axis gives work done by the system.


Area under graph as shown in figure = Area of trapezium.
Thus,
Work done (W)=12(P1+P2)(V2V1)
=12×(30+10)×103×(2510)×106
Work done (W)=0.3 J
Thus, option (d) is the correct answer.

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