Let Ta and Tb be the final temperatures of the samples A and B respectively in the previous question.

Since sample B undergoes isothermal expansion, its temperature remains constant = Tb.


For an adiabatic process, since the heat supplied is 0, the internal energy will change by an amount dU = nCvdT,


where dU = change in internal energy


n = number of moles


Cv = specific heat capacity at constant volume


dT = change in temperature


This change in internal energy will compensate for the constancy in heat.


Sample B is undergoing expansion through an isothermal process; its initial and final temperatures will be the same.


Sample A will expand at the cost of its internal energy.


Therefore, the final temperature will be less than the initial temperature,


since dU < 0 => dT < 0.


Tb-Ta<0


Tb>Ta or Ta<Tb


Hence, we get Ta>Tb.

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