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Question

Physics Question on Kinetic molecular theory of gases

If the kinetic energy of one mole of an ideal gas is given as E=32RTE=\frac{3}{2}RT (where 7? is the universal gas constant and T is the absolute temperature of the gas), the molar specific heat at constant pressure will be given as

A

2.5 R2.5\text{ }R

B

1.5 R1.5\text{ }R

C

0.5 R0.5\text{ }R

D

0.1 R0.1\text{ }R

Answer

2.5 R2.5\text{ }R

Explanation

Solution

: For monoatomic gas, Cp=5R2=2.5R{{C}_{p}}=\frac{5R}{2}=2.5R