# Derive ideal gas equation.

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Derive ideal gas equation.

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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: V ∝ $\frac{1}{P}$

Charles’ law: V ∝ T

Avogadro’s law: V ∝ n

We can combine these equations into the following general equation that describes the physical behaviour of all gases.

V ∝ $\frac{nT}{P}$

V = $\frac{nRT}{P}$

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.