Thermodynamics Question 227

Question: Unit mass of a liquid with volume $ V _{1} $ is completely changed into a gas of volume K, at a constant external pressure P and temperature T. If the latent heat of evaporation for the given mass is L, then the increase in the internal energy of the system is

Options:

A) Zero

B) $ P( V _{2}-V _{1} ) $

C) $ L-P( V _{2}-V _{1} ) $

D) $ L $

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Answer:

Correct Answer: C

Solution:

[c] $ Q=mL=1\times L=L;W=P(V _{1}-V _{2}) $

Now $ Q=\Delta U+W $

$ \text{or }L=\Delta U+P( V _{2}-V _{1} ) $

$ \therefore \Delta U=L-P( V _{2}-V _{1} ) $



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