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

1 Answer
Nov 23, 2015

Answer:

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"#