Listen NCERT Audio Books - Kitabein Ab Bolengi
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.