Question

A gas occupies `1.0` liter at `1.2` atm. What is the pressure if the volume is increased to `4.0` liters?

Answer 1

The final pressure will be `"0.30 atm"`.

Explanation:

Boyle's law states that when temperature and mass is kept constant, the volume of a gas varies inversely with pressure. The equation for this law is `P_1V_1=P_2V_2`.

Given
`P_1="1.2 atm"`
`V_1="1.0 L"`
`V_2="4.0 L"`

Unknown
`P_2`

Solution
Rearrange the equation to isolate `P_2` and solve.

`P_2=(P_1V_1)/(V_2)`

`P_2=((1.2"atm"xx1.0"L"))/(4.0"L")="0.30 atm"`