# If 17/3 L of a gas at room temperature exerts a pressure of 24 kPa on its container, what pressure will the gas exert if the container's volume changes to 5/4 L?

Aug 1, 2016

$108.8 k P a$

#### Explanation:

According to Boyle's Law, volume and pressure are inversely proportional, or alternatively ${P}_{1} \cdot {V}_{1} = {P}_{2} \cdot {V}_{2}$

$24 \cdot \frac{17}{3} = \frac{5}{4} \cdot {P}_{2}$

$136 \cdot \frac{4}{5} = {P}_{2}$

${P}_{2} = \frac{544}{5} = 108.8$