# Question #db8f6

##### 1 Answer

#### Answer:

Here's how you can approach this problem.

#### Explanation:

The first important thing to recognize here is that you can use Boyle's Law to predict what will happen to the pressure of the mixture after the containers are switched.

According to Boyle's Law, pressure and volume have an **inverse relationship** when temperature and number of moles (amount of gas) are kept **constant**.

This means that a *decrease* in the volume of the container will result in an **increase** in the total pressure of the mixture.

Mathematically, this is written like this

You know that the second container is *half the size* of the first one, so

This means that the pressure of the mixture in the second container will be

SImply put, the new pressure will be **twice** the initial pressure

The initial pressure will be the sum of the partial pressures of the two gases - think **Raoult's Law**.

Therefore,