The final volume of the gas is 3 L
Explanation:
We can solve this problem by applying Boyle's law, which states that:
"For a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"
Mathematically:
[tex]PV=const.[/tex]
where
P is the pressure of the gas
V is its volume
The equation can also be rewritten as
[tex]P_1 V_1 = P_2 V_2[/tex]
For the sample of helium in this problem, we have:
[tex]P_1 = 300 torr[/tex]
[tex]V_1 = 5 L[/tex]
[tex]P_2 = 500 torr[/tex]
Solving the equation, we can find [tex]V_2[/tex], the final volume of the gas:
[tex]V_2 = \frac{P_1 V_1}{P_2}=\frac{(300)(5)}{500}=3 L[/tex]
Learn more about ideal gases:
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