Answer to Question #115780 in Mechanical Engineering for Smith

Question #115780
Air initially at 100 0F and 100 psia and occupying a volume of 0.5 ft3 undergoes a reversible non-flow constant temperature process such that the final pressure becomes 20 psia. find the work done, ft.lbf.
1
Expert's answer
2020-05-24T16:33:16-0400

The equation of an isothermal process with ideal gas (like air) is


The work of a reversible isothermal process is given by


where are the initial and the final volume of the air respectively.

Substitute in the first equation the initial parameters


We can find the final volume from the first equation


Substitute to the second equation to find the work done



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