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259.


Problem 26.37 (RHK)


An ideal gas undergoes an isothermal expansion at , increasing its volume from 1.3 to 3.4 L. The entropy change of the gas is . We have to find the amount of gas present in moles.


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Let us recall that in an isothermal process there is no change in the internal energy. Therefore, the work done by the gas in isothermal expansion from initial volume to final volume will be equal in magnitude to the amount of heat absorbed. The work done by the gas (n moles) in isothermal expansion from volume to volume will be

Therefore, the heat absorbed, Q, in isothermal expansion of n moles of an ideal gas will be

The change in entropy of n moles of an in isothermal expansion will therefore be

Data of the problem are

and

We have

or