A sample of gas has a pressure of 245 kPa and a volume of 500 mL. Assuming constant temperature, what will the volume be when the pressure is 325 kPa?

May 10, 2018

${V}_{2}$ = ~376.9 mL

Explanation:

Boyle's Law

${P}_{1}$${V}_{1}$ = ${P}_{2}$${V}_{2}$ , where $P$ is the pressure and $V$ is the volume. Note that this is an inversely proportional relationship. If the pressure increases, the volume decreases. If the pressure decreases, the volume increases.

Let's plug-in our data. Remove the units for now.

$\left(245 \cdot 500\right)$ = $\left(325 \cdot {V}_{2}\right)$

First, multiply 245 by 500. Then, divide by 325 to isolate for ${V}_{2}$.

245 * 500 = 122,500

$\frac{122500}{325}$ = 376.9230769 mL