# If 15 L of a gas at room temperature exerts a pressure of 5 kPa on its container, what pressure will the gas exert if the container's volume changes to 12 L?

May 31, 2016

The final pressure is 6250 Pa.

#### Explanation:

If we assume that the temperature does not change, then the product of pressure and volume has to be constant:

$P V =$const.

It means that the product of initial pressure and volume has to be the same as the final product of pressure and volume.

${P}_{i} {V}_{i} = {P}_{f} {V}_{f}$

substituting the numbers

$5000 \cdot 15 = {P}_{f} \cdot 12$
Then the final pressure is

${P}_{f} = 5000 \cdot \frac{15}{12} = 6250$ Pa.