Question

For a certain amount of gas at constant temperature, the pressure and volume have an inverse relationship (Figure 1). This is called Boyle's law:

P1V1=P2V2

A. A sample of ideal gas at room temperature occupies a volume of 33.0 L at a pressure of 862 torr . If the pressure changes to 4310 torr , with no change in the temperature or moles of gas, what is the new volume, V2?

B. If the volume of the original sample in Part A (P1 = 862 torr , V1 = 33.0 L ) changes to 62.0 L , without a change in the temperature or moles of gas molecules, what is the new pressure, P2?

Answer 1

A)

Given:

Vi = 33.0 L

Pi = 862 torr

Pf = 4310 torr

use:

Pi*Vi = Pf*Vf

862 torr * 33.0 L = 4310 torr * Vf

Vf = 6.60 L

Answer: 6.60 L

B)

Given:

Pi = 862 torr

Vi = 33.0 L

Vf = 62.0 L

use:

Pi*Vi = Pf*Vf

862 torr * 33.0 L = Pf * 62.0 L

Pf = 459 torr

Answer: 459 torr