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Asked in JEE Main 2009 · Isothermal Work and Heat
On the P-T diagram DA runs at constant temperature, so it is isothermal:
W_by=nRT ln (V_A)/(V_D)=-nRT ln (P_A)/(P_D).
Reading the figure, D and A both sit at 300 K, with the pressure rising from
1×10⁵ to 2×10⁵ Pa, so the gas is compressed.
|W|=2R×300×ln 2=600R×0.69=414R.
Compression, so the work done on the gas is +414R.
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