# What is an example of a Boyle's law practice problem?

May 24, 2014

If I initially have 4.0 L of a gas at a pressure of 1.1 atm, what will the volume be if I increase the pressure to 3.4 atm?

This problem is a relationship between pressure and volume.
To solve for the volume we would use Boyle's Law, which is comparison of the inverse relationship between pressure and volume.

$\left({P}_{i}\right) \left({V}_{i}\right) = \left({P}_{f}\right) \left({V}_{f}\right)$

Identifying our values and units
$\left({P}_{i}\right)$ = 1.1 atm
$\left({V}_{i}\right)$ = 4.0 L
$\left({P}_{f}\right)$ = 3.4 atm
$\left({V}_{f}\right)$ = x

We plug in equation
$\left(1.1 a t m\right) \frac{4.0 L}{3.4 a t m} = \left(x L\right)$

Rearrange algebraically to solve for x

$x L = \frac{\left(1.1 a t m\right) \left(4.0 L\right)}{3.4 a t m}$

We get value of 1.29 L.

I hope this was helpful.
SMARTERTEACHER