The work done by the gas when the gas expands will be 878.89 ft-lb.
<h3>What is the work done for an isothermal process?</h3>
The Pressure is inversely proportional to the volume.
Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.
Then the work done by the gas will be
WD = P₁ V₁ ln (V₂ / V₁)
A quantity of the gas with an initial volume of 1 cubic foot and an initial pressure of 400 pounds per square foot.
The gas expands to a volume of 9 cubic feet.
Then the work done by the gas will be
WD = 400 x 1 x ln (9/1)
WD = 400 x 2.197
WD = 878.89 ft-lb
The work done by the gas when the gas expands will be 878.89 ft-lb.
More about the work done for the isothermal process link is given below.
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