Question

If a gas sample in a balloon had a volume of 100 and a pressure of 3 atm. It mL was then compressed to a pressure of 10 atm, what would be its volume?

Answer 1

The final volume of the gas will be `"30 mL"`.

Explanation:

Boyle's gas law will allow us to find the answer. Boyle's law states that the volume of a given amount of gas varies inversely with the applied pressure, as long as temperature and mass are held constant. The equation for this law is:

`P_1V_1=P_2V_2`

Organize your data:

Given
`P_1="3 atm"`
`V_1="100 mL"`
`P_2="10 atm"`

Unknown: `V_2`

Solution
Rearrange the equation to isolate `V_2`. Insert the given data and solve.

`V_2=(P_1V_1)/(P_2)`

`V_2=(3color(red)cancel(color(black)("atm"))xx100"mL")/(10color(red)cancel(color(black)("atm")))="30 mL"`