Assume that the temperature and quantity of a gas sample remain constant. A 1.6 L sample of a gas is originally at 330 K and 4.84 atm. Calculate the final pressure when the volume is reduced to 840 mL.

Question

Quizplus · Accepted Answer

This problem can be solved using Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume when temperature and quantity are constant (P1V1 = P2V2). Converting 840 mL to liters gives 0.840 L. Using the initial conditions (P1 = 4.84 atm and V1 = 1.6 L) and the final volume (V2 = 0.840 L), we can solve for the final pressure (P2). Rearranging the equation gives P2 = P1V1/V2 = (4.84 atm)(1.6 L) / 0.840 L = 9.22 atm.

Assume That the Temperature and Quantity of a Gas Sample