Dalton's Law of Partial Pressure

Many gas samples are not pure, but are mixtures of gases. So, to find the pressure exerted by each of them, this law is used.

By Sakshi Goel | 28 Oct'18 | 1 K Views |

Theory

Individual component in a gas mixture exerts a pressure which is called the partial pressure (Pnof that component. 

It can be calculated from the ideal gas law. For a multicomponent gas mixture, the partial pressure of each component can be computed as follows:
P subscript a equals n subscript a fraction numerator R T over denominator V end fraction comma space P subscript b equals n subscript b fraction numerator R T over denominator V end fraction comma space P subscript c equals n subscript c fraction numerator R T over denominator V end fraction comma space...
The sum of the partial pressures of the components in a gas mixture must equal the total pressure:
Ptotal = Pa + Pb + Pc +...
where Ptotal is the total pressure and Pa, Pb, Pc are the partial pressures of the components. This is known as Dalton’s law of partial pressures.
ntotal = na + nb + n+ ...

Relation between mole fraction and partial pressure:

Mole fraction of a is given as chi subscript a.
ntotal = na + nb + n+ ...
chi subscript a equals n subscript a over n subscript t o t a l end subscript
P subscript a equals chi subscript a P subscript t o t a l end subscript

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