The volume of a gas is inversely proportional to the pressure. If a pressure of 27 pounds per square inch corresponds to a volume of 40 cubic feet, what pressure is needed to produce a volume of 120 cubic feet?
A) 9 pounds per square inch
B) 81 pounds per square inch
C) 11 pounds per square inch
D) 84 pounds per square inch
E) 12 pounds per square inch

Question

Quizplus · Accepted Answer

The relationship between pressure and volume is given by Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature is constant (P1V1 = P2V2). Given P1 = 27 psi and V1 = 40 cubic feet, to find the pressure (P2) that corresponds to a volume (V2) of 120 cubic feet, we use the formula: 27 * 40 = P2 * 120. Solving for P2 gives P2 = (27*40)/120 = 9 pounds per square inch.

The Volume of a Gas Is Inversely Proportional to the Pressure