Considering the Boyle's law, the resulting volume if the pressure were increased to 3.9 atm and the temperature did not change is 4 L.
As the volume increases, the particles (atoms or molecules) of the gas take longer to reach the walls of the container and therefore collide less times per unit of time against them. This means that the pressure will be lower because it represents the frequency of shocks of the gas against the walls. In this way, pressure and volume are related, determining Boyle's law that says:
"The volume occupied by a given mass of gas at constant temperature is inversely proportional to the pressure"
Boyle's law is expressed mathematically as:
P×V=k
Considering an initial state 1 and a final state 2, the following holds:
P₁×V₁=P₂×V₂
In this case, you know:
Replacing in the Boyle's law:
1.3 atm× 12 L=3.9 atm× V₂
Solving:
(1.3 atm× 12 L)÷3.9 atm= V₂
4 L= V₂
The new volume will be 4 L.
Learn more about Boyle's law:
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