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234.


Problem 25.41 (RHK)


Let 20.9 J of heat be added to a particular ideal gas. As a result, its volume changes from 63.0 to while the pressure remains constant at 1.00 atm. (a) We have to calculate the change in the internal energy of the gas. (b) If the quantity of the gas present is mol, we have to calculate the molar heat capacity at constant pressure. (c) We have to find the molar heat capacity at constant volume.


Solution:           Click For PDF Version

(a)

The initial volume of the gas is

The final volume of the gas is

The work done on the gas at constant pressure will be

As the heat absorbed during the process , the change in the internal energy of the gas can be calculated using the first law of thermodynamics. It will be

(b)

The quantity of the gas is We can calculate the change in temperature of the gas using the ideal gas equation of state.

Therefore, the molar heat capacity at constant pressure of this ideal gas will be

(c)

Heat capacity at constant volume and the heat capacity at constant pressure are related as

Therefore, the molar heat capacity at constant volume will be