Thermodynamics Question 176

Question: A gas is compressed at a constant pressure of $ 50N/m^{2} $ from a volume of $ 10m^{3} $ to a volume of $ 4m^{3} $ . Energy of 100 J then added to the gas by heating. Its internal energy is

[MNR 1994]

Options:

A) Increased by 400 J

B) Increased by 200 J

C) Increased by 100 J

D) Decreased by 200 J

Show Answer

Answer:

Correct Answer: A

Solution:

From FLOT $ \Delta Q=\Delta U+\Delta W $

$ =\Delta U+P\Delta V $

$ \Rightarrow \ 100=\Delta U+50\times (4-10)\Rightarrow \Delta U=400\ J $



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