# Question #28264

##### 1 Answer

How about this?

#### Explanation:

Here's how to derive the law from **Boyle's Law** and **Charles' Law.**

Consider an ideal gas at conditions

Now, keep

According to **Boyle's Law**:

**(1)**

Now, keep

According to Charles Law,

**(2)**

From (1),

**(3)**

From (2)

**(4)**

Equating the right hand sides of (3) and (4), we get

or

In general, we can write this as

Now, if we hold the volume

which is **Gay-Lussac's Law**.