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

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equal to 6Q

less than 2Q

more than 2Q

equal to 2Q

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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