Thermodynamics Question 224

Question: When an ideal monoatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is

Options:

A) 2/5

B) 3/5

C) 3/7

D) 5/7

Show Answer

Answer:

Correct Answer: B

Solution:

[b] By first law, $ \Delta Q=\Delta U+\Delta W $

$ =\frac{f}{2}nRT+P\int _{{}}^{{}}{dV=\frac{f}{2}}nRT+PV $

$ \Delta Q=\frac{f}{2}nRT+nRT=\frac{3}{2}nRT+nRT=\frac{5}{2}nRT $

$ \therefore \text{Fraction=}\frac{( 3/2 )nRT}{( 5/2 )nRT}=\frac{3}{5} $



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