The pressure P, of a gas varies inversely with its volume, V. Pressure is measured in units of Pa. Suppose that a particular amount of a gas is initially at a pressure of 84 Pa at a volume of 36 L. If the volume is expanded to 216 L, what will the new pressure be?
y = k/x is the INVERSE function equation, where k is the constant of variation. Using Pressure and Volume: P = k/V The first step is to find k, the constant of variation. This number will not change in the equation for finding volume or pressure. Using the given data: 84 = k/36 multiply both sides by 36. 3024 = k so the equation is P = 3024/V P = 3024 / 216 P = 14