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?

1 Answer
May 12, 2017

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"