A cylinder fitted with a movable piston and filled with a gas has a volume of 188.5 mL at 26.7 °C when the applied pressure is 755.2 torr. The temperature of the oil bath surrounding the cylinder was increased to 165.2 °C and the load on the piston was changed. Careful measurement now gave a value of 210.5 mL for the volume. What is the final pressure in the system?

Question

Quizplus · Accepted Answer

Using the combined gas law: (P1 * V1) / T1 = (P2 * V2) / T2, where T is in Kelvin. Convert temperatures to Kelvin: T1 = 26.7 + 273.15 = 299.85 K, T2 = 165.2 + 273.15 = 438.35 K. Solve for P2: P2 = (P1 * V1 * T2) / (V2 * T1) = (755.2 torr * 188.5 mL * 438.35 K) / (210.5 mL * 299.85 K) = 988.6 torr.

A Cylinder Fitted with a Movable Piston and Filled with a Gas