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Question

A thermally insulated container is divided into two parts by a screen. In one part the pressure and temperature are P and T for an ideal gas filled. In the second part it is vacuum. If now a small hole is created in the screen, then the temperature of the gas will

A
decrease
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B
increase
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C
remain same
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D
none of these
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Solution

The correct option is B remain same
According to the ideal gas law, PV = nRT,
Since the will be a change in volume of gas occurs slowly i.e. process occurs isothermally.
(To compensate for the change in volume, there will be a corresponding change in the pressure of the gas, therefore the temperature will tend to remain constant.)

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