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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.

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