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# What is the equation for Dalton's law of partial pressure?

##P_"Total"## ##=## ##P_1+P_2+.......P_n##

In a gaseous mixture, the exerted by a component, is the same as the pressure it would exert if it ALONE occupied the container. The total pressure is the sum of the individual pressures. fraction of a component gas is proportional to the partial pressure.

Clearly, the total number of moles of gas is..........

##n_"Total"## ##=## ##n_1+n_2+.......n_n##

And ##P_"Total"=P_1+P_2.........+P_n##

But given ideality, then ##P_i=(n_iRT)/V##

So ##P_"Total"## ##=## ##(RT)/V{n_1+n_2+.......n_n}##

And ##P_i## ##=## ##(n_iRT)/V## ##=## ##n_i/(n_1+n_2+.......n_n)xxP_"Total"##

Again, ##P_"Total"## ##=(n_1+n_2+n_3.........+n_n)(RT)/V##

It is worthwhile spending a bit of time on the equation, and checking where you use .