Question

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.

Answer 1

1000 L

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:

`\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}`

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

`\begin{gathered} P_1\cdot V_1=P_2\cdot V_2 \\ V_1=(P_2\cdot V_2)/(P_1) \\ \text{ replacing} \\ V_1=(9.87\cdot100)/(0.987)_{} \\ V_1=1000\text{ L} \end{gathered}`

The volume of gas is 1000 L