A) 100%
B) 0%
C) 60%
D) 50%
Correct Answer: C
Solution :
Since a monoatomic gas molecule has 3 degree of freedom, the molar heat capacity (also called molar specific heat) of the monatomic gas at constant volume \[({{C}_{V}})\] is (3/2) R where R is universal gas constant. Its molar heat capacity at constant pressure \[({{C}_{P}})\]is (5/2) R. This follows from Meyer?s relation, \[{{C}_{p}}={{C}_{v}}+R.\] This means that when heat energy equal to (5/2) R Joule is supplied to one mole of a monatomic gas to make it expand at constant pressure. (3/2) R Joule is used to increase the temperature by 1K and the remaining R joule is used for doing work against the forces which oppose the expansion. 3/2 is 60% of 5/2.
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