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Work Done

Find the work...

Question

Find the work done by the system in closed path $A B C A$ as shown below.

A

Zero

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B

(V_{1} - V_{2}) (p_{1} - P_{2})

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C

- \frac{(p_{2} - p_{1}) (V_{2} - V_{1})}{2}

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D

\frac{(p_{2} + p_{1}) (V_{2} - V_{1})}{2}

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Solution

The correct option is C $- \frac{(p_{2} - p_{1}) (V_{2} - V_{1})}{2}$

Work done by the system in closed path $A B C A$
$=$ Area of $Δ A B C$
$= \frac{1}{2} b h = - \frac{1}{2} (V_{2} - V_{1}) (p_{2} - p_{1})$

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