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Q.

A mass m of an ideal gas initially has volume Vo and temperature To. When it is kept at constant volume Vo, heat Q is required to increase its temperature to To + ΔT. If the volume is not kept constant, but the gas expands from Vo to 3Vo when the temperature increases from To to (To + 2ΔT), then the heat supplied must be

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a

less than 2Q

b

equal to 2Q

c

more than 2Q

d

equal to 6Q

answer is C.

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Detailed Solution

In the first case the rise in temperature is DT and in the second case it is 2DT. The heat required for this must be 2Q. In addition to rising the temperature, the system is expanding
and doing work and additional heat will be required for this, hence more than 2Q

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