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.

Expert's answer

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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