Question

At a constant temperature, a sample of a gas in a balloon that originally had a volume of 2.2 l and pressure of 749 torr has a change of pressure to 629 torr. calculate the new volume in liters.

Answer 1

V = 2.62 L

Step-by-step explanation:

When a gas in any container is suffering a change in pressure or volume but maintaining the temperature, in other words, a constant temperature, this gas it's not having an ideal gas behavior, so in this case, we need to use the Boyle's law for gases with constant temperature.

This expression is the following:

P1.V1 = P2.V2

We already have the pressure of the gas in both conditions, and the initial volume, so all we have to do is to solve for the new volume from the above expression:

P1.V1 = P2.V2

V2 = P1.V1 / P2

Replacing the data we have:

V2 = 749 * 2.2 / 629

V2 = 2.62 L

This is the new volume of the gas.

Answer 2

The new volume is calculated using the Boyles law formula
that is P1V1=P2V2
P1= 749 torr
V1=2.2 L
P2=629 torr
V2=?
V2 is therefore =P1V1/P2
=( 747 torr x 2.2 L) / 629 torr = 2.62 L