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Types of Work

Following fig...

Question

Following figure is given for 1 mole gas.
Then find out net work done in the cyclic process.

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Solution

In the given figure,
BA, work done $= n R T ln \frac{V_{A}}{V_{B}}$
$= - 200 R {ln}_{2}$
BC, volume constant
work done $= P Δ V$
$= o$
DC, work done $= n e T ln \frac{V_{C}}{V_{D}}$
$= 400 R {ln}_{2}$
AD, volume constant
so, work done $= 0$
Hence,
net work done
$= 200 R l n_{2}$

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