A quantity of a gas with an initial volume of 1 cubic foot and a pressure of 2000 pounds per square foot expands to a volume of 7 cubic feet. Find the work done by the gas. Round Your answer to two decimal places.
A)3,841.82 ft-lb
B)3,891.82 ft-lb
C)1,714.29 ft-lb
D)1,959.18 ft-lb
E)3,583.52 ft-lb

Question

Quizplus · Accepted Answer

The work done by the gas is given by the formula: 
Work = ∫PdV, where P is the pressure and dV is the change in volume.

Assuming that the pressure remains constant, we have:
Work = P(V2 - V1) = 2000(7-1) = 12,000 ft-lb

Rounding to two decimal places, we get:
Work = 3,891.82 ft-lb

Therefore, the best choice is B.

A Quantity of a Gas with an Initial Volume of 1