# Question #873b7

##### 1 Answer

I assume you have a *gas* in a **6.8-L** container, and want the *pressure* exerted after the volume is reduced.

When temperature and number of moles are *kept constant*, the pressure exerted by an ideal gas has an *inverse relationship* with the volume that gas occupies - this is known as Boyle's Law.

In other words, when volume *decreases*, pressure *increases*, and when volume *increases*, pressure *decreases*.

Mathematically, that relationship is expressed like this

In your case, you go from a volume of **6.8 L** and a pressure of **450 mmHg**, to a volume of **1.2 L**. This means that the new pressure of the gas will be

Rounded to two sig figs, the answer will be

Notice that a *drop* in volume caused an *increase* in pressure - that is the inverse relationship described by Boyle's Law.