The volume of a gas is inversely proportional to the pressur

The volume of a gas is inversely proportional to the pressure. If a pressure of 15 pounds per square inch corresponds to a volume of 20 cubic feet, what pressure is needed to produce a volume of 30 cubic feet.

____ pounds per square inch

Solution

volume of a gas is inversely proportional to the pressure

V = k/P wher V is volume and P is pressure

V*P = k ( k is a constant)

Now V1 = 20cubic feet P1 = 15pounds/inch^2 ; V2 = 30cubic feet ; Find P2 =?

V1*P1 = V2*P2

P2 = V1*P1/V2 = 20*15/30 = 10 pounds per square inch