Liters of gas at 14.7 psi: 3674 L
Explanation:
We can solve this problem by using Boyle's law, which states that:
"For an ideal 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 gas pressure
V is its volume
This law can also be rewritten as
[tex]p_1 V_1 = p_2 V_2[/tex]
Where:
[tex]p_1 = 3000 psi[/tex] is the initial pressure of the gas
[tex]V_1 = 18 L[/tex] is the initial volume of the gas
[tex]p_2 = 14.7 psi[/tex] is the final pressure of the gas
[tex]V_2[/tex] is the final volume
Therefore, we can calculate the volume of gas corresponding to 14.7 psi of pressure:
[tex]V_2=\frac{p_1 V_1}{p_2}=\frac{(3000)(18)}{14.7}=3674 L[/tex]
Learn more about ideal gases:
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