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When Louisa had her asthma attack, she was given oxygen through a face mask. The gauge on a 12-L tank of compressed oxygen reads 3800 mmHg. How many liters would this same gas occupy at a final pressure of 570 mmHg when temperature and amount of gas do not change?

Respuesta :

Answer:

[tex]80\text{ L}[/tex]

Explanation:

Here, we want to get the volume of the gas at a reduced pressure

From Boyle's law, we have it the volume and pressure of a given mass of gas are inversely proportional

Mathematically:

[tex]\begin{gathered} P_1V_1\text{ = P}_2V_2 \\ \\ V_2\text{ = }\frac{P_1V_1}{P_2} \end{gathered}[/tex]

Where:

P1 is the initial pressure wich is 3800 mmHg

V1 is the initial volume which is 12 L

P2 is the final pressure which is 570 mmHg

V2 is the final volume which is ?

Substituting the values, we have it that:

[tex]\begin{gathered} P_2\text{ = }\frac{3800\times12}{570} \\ \\ P_2\text{ = 80 L} \end{gathered}[/tex]

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