First slide

Work done by gas

Question

Find the work done by the gas in the process ABC.

Moderate

A

$\frac{3}{2} P_{0} V_{0}$
B

$\frac{5}{2} P_{0} V_{0}$
C

$\frac{7}{2} P_{0} V_{0}$
D

$4 P_{0} V_{0}$

Solution

$W_{AB} = - (P_{0} V_{0} + \frac{P_{0} V_{0}}{2}) = - \frac{3}{2} P_{0} V_{0}$
$W_{B C} = (2 P_{0}) (2 V_{0}) + \frac{P_{0} (2 V_{0})}{2} = 5 P_{0} V_{0}$
$W_{ABC} = \frac{7}{2} P_{0} V_{0}$

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