# How do I write Boyle's law as a power function?

##### 1 Answer

You start by writing the mathematical expression for Boyle's Law.

#### Explanation:

Boyle's Law states that, for an ideal gas at **constant** temperature and number of moles, **pressure** and **volume** have an *inverse relationship*.

SImply put, when temperature and number of moles, i.e. the amount of gas, are held constant, *increasing* pressure will cause the volume to *decrease*, and vice versa.

Mathematically, you can write equation for Boyle's Law by starting from the ideal gas law equation.

*gas constant*, equal to

If temperature and number of moles are kept constant, then the right side of the ideal gas law equation will be *constant*, since it's a product of three constant.

To write this as a power function, you need to get to the form

Notice that if you isolate pressure on one side of the equation by dividing both sides by

Since

*Boyle's Law as a power function*

In your case,

The inverse relationship between pressure and volume is confirmed by the