1
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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 JFrom 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)=10×10−6 m3 Volume at state B is (V2)=25×10−6 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)(V2−V1) =12×(30+10)×103×(25−10)×10−6 Work done (W)=0.3 J Thus, option (d) is the correct answer.

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