Question

A sample of nitrogen gas has a volume of 32.4 L at 20°C. The gas is heated to 220°C at constant pressure. What is the final volume of nitrogen?

Answer 1

The volume of nitrogen gas at 493 K will be 54.5 L.

Explanation:

This is an example of Charles' law which states that the volume of a gas held at constant pressure is directly proportional to the Kelvin temperature. The equation for Charles' law is `V_1/T_1=V_2/T_2`.

Given/Known
`V_1="32.4 L"`
`T_1="20"^"o""C"+273.15="293 K"`
`T_2="220"^"o""C"+273.15="493 K"`

Unknown
`V_2="???"`

Solution
Rearrange the equation to isolate `V_2` and solve.

`V_1/T_1=V_2/T_2`

`V_2=(V_1T_2)/T_1`

`V_2=(32.4"L"xx493cancel"K")/(293cancel"K")="54.5 L"`