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

Answer:

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"#