Initial volume of the gas is
cubic feet.
A pressure of gas is
pound per square foot.
Pressure
.

The volume expands to
cubic feet due to pressure.
Work done by the gas as the volume of the gas expands from
to
is
.
Substitute
,
and
in the formula.

foot-pounds.
Work done by the gas is
foot-pounds.
Work done by the gas is
foot-pounds.