# If 18 L of a gas at room temperature exerts a pressure of 15 kPa on its container, what pressure will the gas exert if the container's volume changes to 27 L?

Sep 7, 2016

Use Boyles Law.

#### Explanation:

Boyles Law states that pressure is inversely proportional to volume, or as the pressure of a gas increases, the volume of the gas decreases. Mathematically, it can be stated as:

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

In this problem, ${P}_{1} = 15 k P a$, ${V}_{1} = 18 L$, P_2=? and ${V}_{2} = 27 L$

$\left(15\right) \left(18\right) = {P}_{2} \left(27\right)$

Divide both sides by 27

${P}_{2} = \frac{15 \cdot 18}{27}$

${P}_{2} = 10 k P a$