First slide

Different type of processes

Question

In an isothermal expansion at temperature T, the work done in expanding a gas from volume 2V to 5V is W. The work done in expanding the same gas from 10V to 25V at same temperature 2T will be

Moderate

A

5 w
B

10 W
C

4 w
D

2 W

Solution

$w o r k d o n e i n i s o t h e r m a l p r o c e s s i s n R T \ln \frac{V_{2}}{V_{1}} h e r e i n f i r s t c a s e \frac{V_{2}}{V_{1}} = \frac{5}{2} f o r t h e s e c o n d c a s e \frac{V_{2}}{V_{1}} = \frac{25}{10} = \frac{5}{2} b u t w o r k d o n e i s p r o p o r t i o n a l t o T a s t e m p e r a t u r e i s d o u b l e d w o r k d o n e i s a l s o d o u b l e d$

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