# If a gas occupies 8.9 liters at a pressure of 745 mm Hg, what volume would it have at 725 mm Hg?

Feb 7, 2017

Approx. $9.1 \cdot L \ldots \ldots \ldots .$

#### Explanation:

Charles' Law states that at constant temperature, and a given quantity of gas, the product $P \times V = k$. We don't even have to convert the pressure readings to atmospheres given the proportionality.

And thus, the volume of the gas should increase at reduced pressure, and indeed it does.

${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$

V_2=(P_1V_1)/P_2=(8.9Lxx745*mm*Hg)/(725*mm*Hg)=??*L