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Question

A box containing N molecules of a perfect gas at temperature T1 and pressure P1. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. if the new pressure is P2 and temperature T2, then


A

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B

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C

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D

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Solution

The correct option is C


Kinetic energy of the gas molecules depends on the temperature only and pressure is directly proportional to the number of molecules per unit volume. Hence Pressure will be doubled but temperature will remain the same.


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