JEE Advanced2006ChemistryThermodynamics (C)Actual

A monoatomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant and equals to 1 . What is the molar heat capacity of the gas?

Options

A4 R 2
B3 R 2
C5 R 2
D0

Correct answer

A. 4 R 2

Step-by-step solution

The molar heat capacity for any process is given by a following expression C=C_V+ R 1- when p V^ = constant and C_p / C_V= Here, p V =1 i.e., p V⁻¹= constant C= 3 2 R+ R 1-(-1) = 3 2 R+ R 2 = 4 2 R

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