# What is the Dalton law of partial pressure equation?

Jun 6, 2016

Dalton's law of partial pressures states that in a gaseous mixture, the pressure exerted by a component is the same as if that component ALONE occupied the container..........

#### Explanation:

......The total pressure is the sum of the individual partial pressures.

So we have a gaseous mixture of gases $A$, $B$, $C$, etc.

${P}_{\text{Total}}$ $=$ ${P}_{A} + {P}_{B} + {P}_{C} \ldots \ldots \ldots \ldots \ldots$

Reasonably we can idealize gas behaviour, i.e. ${P}_{A} = \frac{{n}_{A} R T}{V}$

${P}_{\text{Total}}$ $=$ $\frac{{n}_{A} R T}{V} + \frac{{n}_{B} R T}{V} + \frac{{n}_{C} R T}{V} \ldots \ldots \ldots \ldots \ldots$ $=$ $\frac{R T}{V} \left\{{n}_{a} + {n}_{B} + {n}_{C} \ldots \ldots \ldots \ldots \ldots\right\}$.

We can thus say that the partial pressure of a gas in a gaseous mixture is proportional to its mole fraction.