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Question: An ideal gas is taken from point A to the point B as shown in P-V diagram keeping temperature consta...

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

A

(PA – PB) (VB – VA)

B

12\frac{1}{2} (PB – PA) (VB + VA)

C

12\frac{1}{2} (PB – PA) (VB – VA)

D

12\frac{1}{2} (PB + PA) (VB – VA)

Answer

12\frac{1}{2} (PB + PA) (VB – VA)

Explanation

Solution

WAB = + Area of trapezium

= + 12\frac { 1 } { 2 } [PB+PA][VBVA]\left\lbrack P_{B} + P_{A} \right\rbrack\left\lbrack V_{B} - V_{A} \right\rbrack