Using the given P-V diagram, the work done by an ideal gas along the path ABCD is [2025]

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Solution

Q.

Using the given P-V diagram, the work done by an ideal gas along the path ABCD is [2025]

1 $4 P_{0} V_{0}$

2 $3 P_{0} V_{0}$

3 $- 4 P_{0} V_{0}$

4 $- 3 P_{0} V_{0}$

Ans.
(4)

Area under graph will be magnitude of graph and being counter clock wise graph it would be negative

Area $= 2 P_{0} \times V_{0} + P_{0} V_{0} = 3 P_{0} V_{0}$

$W = - 3 P_{0} V_{0}$

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