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An ideal gas is taken from point A to th...

An ideal gas is taken from point A to the point B, as shown in the P-V diagram, keeping the temperature constant. The work done in the process is

A

`(P_A-P_B)(V_B-V_A)`

B

`1/2(P_B-P_A)(V_B+V_A)`

C

`1/2(P_B-P_A)(V_B-V_A)`

D

`1/2(P_B+P_A)(V_B-V_A)`

Text Solution

Verified by Experts

The correct Answer is:
D
Work done (W) = Area of triangle + Area of rectangle
`=1/2 (P_A-P_B)xx(V_B-V_A)+P_B(V_B-V_A)`
`=1/2 (P_A+P_B)(V_B-V_A)`.
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