Taking into account the Boyle's law, the gas will ocuppy a volume of 207.86 L.
Boyle's law is one of the gas laws that relates the volume and pressure of a certain quantity of gas kept at a constant temperature.
Boyle's law states that the pressure of a gas in a closed container is inversely proportional to the volume of the container, when the temperature is constant.
Mathematically, Boyle's law states that the product of pressure and volume is constant:
P×V= k
Studying two different states, an initial state 1 and a final state 2, it is satisfied:
P1× V1= P2× V2
In this case, you know:
Replacing in Boyle's law:
7.25 atm× 58.2 L= 2.03 atm× V2
Solving:
V2= (7.25 atm× 58.2 L)÷ 2.03 atm
V2= 207.86 L
In summary, the gas will ocuppy a volume of 207.86 L.
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