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Question

Assertion :STATEMENT-1
The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume Reason: STATEMENT-2
The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

A
Statement -1 is True, Statement-2 is True; Statement -2 is a correct explanation for Statement-1.
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B
Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.
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C
Statement -1 is True, Statement-2 is False
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D
Statement -1 is False, Statement-2 is True.
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Solution

The correct option is B Statement -1 is True, Statement-2 is True; Statement -2 is NOT a correct explanation for Statement-1.
Average energy of a molecule of an ideal gas at temperature T=12mv2=32kT
Therefore the total energy of the gas =32NkT
where N is the total number of molecules.
Since Nk=nR,
Average energy =32nRT=32PV

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