Considering the Boyle's law, if the temperature does not change, the new volume will be 6.25 L.
Boyle's law
The gas laws are a set of chemical and physical laws that allow determining the behavior of gases in a closed system. The parameters evaluated in these laws are pressure, volume, temperature, and moles.
Boyle's law is one of the gas laws that relates the volume and pressure of a certain quantity of gas kept at constant temperature.
This law states that the pressure of a gas in a closed container is inversely proportional to the volume of the containert. That is, if the pressure increases, the volume decreases; while if the pressure decreases, the volume increases.
Mathematically, Boyle's law states that the product of pressure and volume is constant:
P×V= k
where P is the pressure and V the volume, being k a constant.
Studying two different states, an initial state 1 and a final state 2, it is satisfied:
P₁× V₁= P₂×V₂
New volume
In this case, you know:
- P₁= 1.25 atm
- V₁= 5 L
- P₂= 1 atm
- V₂= ?
Replacing in Boyle's law:
1.25 atm× 5 L= 1 atm× V₂
Solving:
(1.25 atm× 5 L)÷ 1 atm= V₂
6.25 L= V₂
Finally, the new volume will be 6.25 L.
Learn more about Boyle's law:
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