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214.


Problem 23.43 (RHK)


Gas occupies a volume of 4.33 L at a pressure of 1.17 atm and a temperature of 310 K. It is compressed adiabatically to a volume of 1.06 L. We have to determine (a) the final pressure and (b) the final temperature, assuming the gas to be an ideal gas with . (c) We have to calculate the work done on the gas.


Solution:           Click For PDF Version

Data of the problem are

and

(a)

As the gas has been compressed adiabatically, we have

Therefore,


(b)


Using the ideal gas equation, we calculate the molar amount of gas.

Temperature of the compressed gas can be obtained from the ideal gas equation


(c)

Work done on a gas is given by

For an adiabatic process

Therefore,