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Q.

Energy of all molecules of a monoatomic gas having a volume V and pressure P is 32PV . The total translational kinetic energy of all molecules of a diatomic gas as the same volume and pressure is:

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a

12PV

b

32PV

c

52PV

d

3PV

answer is B.

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Detailed Solution

Energy of 1 mole of gas =f2RT=f2PV

where f = Degree of freedom

Monoatomic or diatomic both gases possess equal degree of freedom for translational motion and that is equal to 3 i.e. f=3

E=32PV

Although total energy will be different,

For monoatomic gas Etotal=32PV [As f=3]

For diatomic gas Etotal=52PV [As f=5]

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