# Question #5c6c4

##### 1 Answer

#### Explanation:

All you have to do here is to use the fact that pressure and volume have an **inverse relationship** when temperature and number of moles are kept constant **Boyle's Law**.

In other words, *increasing* the pressure will cause the volume to **decrease**. Similarly, *decreasing* the pressure will cause the volume to **increase**.

In your case, the pressure is increasing

#"242 torr " -> " 1210 torr"#

so right from the start, you should expect the volume of the gas to be

Mathematically, you will have

#color(blue)(ul(color(black)(P_1V_1 = P_2V_2)))#

Here

#P_1# and#V_1# represent the pressure and volume of the gas at an initial state#P_2# and#V_2# represent the pressure and volume of the gas at a final state

Rearrange to solve for

#P_1V_1 = P_2V_2 implies V_2 = P_1/P_2 * V_1#

Plug in your values to find

#V_2 = (242 color(red)(cancel(color(black)("torr"))))/(1210color(red)(cancel(color(black)("torr")))) * "17.0 L" = color(darkgreen)(ul(color(black)("3.40 L")))#

The answer is rounded to three **sig figs**.

As predicted, the volume **decreased** as a result of the increase in pressure.