## Book: HC Verma - Concepts of Physics Part 2

### Chapter: 27. Specific Heat Capacities of Gases

#### Subject: Physics - Class 12th

##### Q. No. 11 of Objective I

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##### 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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