For a certain amount of gas at constant temperature, the pressure and volume hav

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 sample of ideal gas at room temperature occupies a volume of 32.0 L at a pressure of 692 torr . If the pressure changes to 3460 torr , with no change in the temperature or moles of gas, what is the new volume, V2 ? If the volume of the original sample in Part A (P1 = 692 torr , V1 = 32.0 L ) changes to 60.0 L , without a change in the temperature or moles of gas molecules, what is the new pressure, P2 ?

Explanation / Answer

Ideal gas

a)

V1 = 32 L

P1 = 692 torr

P2 = 3460 torr

P1V1 = P2V2

V2 = P1/P2*V1 = 692/3460 *32 = 0.2 L

b)

P1V1 = P2V2

P2= P1*V1/V2

P2 = (692)*32/60

P2 = 369.066 torr

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