# What is the Gay-Lussac's Law?

Jul 18, 2018

An old gas law....

#### Explanation:

This law was an experimental gas law that found that for a given MASS of gas...

$P \propto T$...given conditions of constant volume....

And so given this proportionality, $P = k T$...but given a constant mass, i.e. quantity of gas, this equlity should hold across DIFFERENT pressures and temperatures...

And so solving for $\frac{P}{T} = k$...and as temperature and pressure EVOLVES....the equality is maintained, and so....

${P}_{1} / {T}_{1} = {P}_{2} / {T}_{2}$.....

As the molar quantity of the gas evolved, this law could be expanded to the Ideal Gas Law....$P V = n R T$...