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Physics Kinetic Theory of Gases NCERT MCQ (Single Correct)

molecules of an ideal gas are enclosed in cubical box at temperature and pressure . If the number of molecules in the box is tripled then new temperature and pressure become and , respectively, but the total energy of gas system remains unchanged, then

A
and
B
and
C
and
D
and

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The correct answer is:
D

Since the total energy of the system remains unchanged, we have

Also,

Therefore,

On comparing with ideal gas equation, we get

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