An air compressor has a volume of 100.L What volume of gas is pumped into the tank if the pressure goes from 750 torr to a pressure of 145 psi?Remember to convert pressure to atm. Refer to picture for conversions if needed.

An air compressor has a volume of 100L What volume of gas is pumped into the tank if the pressure goes from 750 torr to a pressure of 145 psiRemember to convert class=

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ANSWER:

1000 L

STEP-BY-STEP EXPLANATION:

The first thing is to convert the unit of both pressures to atm, with the help of the conversion equivalences shown, just like this:

[tex]\begin{gathered} P_1=750\text{ torr }\cdot\frac{1\text{ atm}}{760\text{ torr}}=0.987\text{ atm} \\ P_2=145\text{ psi }\cdot\frac{1\text{ atm}}{14.7\text{ psi}}=9.87\text{ atm} \end{gathered}[/tex]

Now, applying Boyle's Law, we calculate the value of the volume, like this:

[tex]\begin{gathered} P_1\cdot V_1=P_2\cdot V_2 \\ V_1=\frac{P_2\cdot V_2}{P_1} \\ \text{ replacing} \\ V_1=\frac{9.87\cdot100}{0.987}_{} \\ V_1=1000\text{ L} \end{gathered}[/tex]

The volume of gas is 1000 L