The gaseous state is described completely using the following four variables \(T, P, V\) and \(n\). Each gas law relates one variable of a gaseous sample to another while the other two variables are held constant. Therefore, combining all equations into a single equation will enable to account for the change in any or all of the variables.
Boyle's law: \(\vee \propto \frac{1}{P}\)
Charles' law: \(\vee \propto T\)
Avogadro's law: \(\vee \propto \cap\)
We can combine these equations into the following general equation that describes the physical behaviour of all gases.
$$
\begin{aligned}
&\mathrm{V} \propto \frac{n T}{P} \\
&\mathrm{~V}=\frac{n R T}{P}
\end{aligned}
$$
where \(R\) = Proportionately constant.
The above equation can be rearranged to give PV = nRT - Ideal gas equation. Where, \(R\) is also known as Universal gas constant.
where \(R\) = Proportionately constant.
The above equation can be rearranged to give PV = nRT - Ideal gas equation. Where, \(R\) is also known as Universal gas constant.
