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How will you calculate the partial pressure in terms of mole fraction ?

Answer»

Solution :MIXUTRE containing three GASES, 1,2 and 3 with partial pressure `p_(1), P_(2) and p_(3)`in container with volume v, the TOTAL pressure `P_("total")` will be given by
`P_("total") p_(1)+p_(2)+p-(3)""....(1)`
Assuming that the gases behave ideally,
`p_(1)=n_(1)(RT)/(V), p_(2)=n_(2) (RT)/(V), p_(3) =n_(3) (RT)/(V)`
`P_("total")=n_(1)(RT)/(V)+n_(2)(RT)/(V)+n_(3)(RT)/(V)`
`=(n_(1)+n_(2)+n_(3))(RT)/(V)`
`P_("total")=n_("total") ((RT)/(V)) ""....(2)`
The partial pressure can also be EXPRESSED as`((RT)/(V))` can expressed as `(p_(1))/(n_(1)) or (p_(2))/(n_(2)) or (p_(3))/(n_(3)) or` in general `(p-(i))/(n_(i))`
Therefore
`P_("total")=n_("total")(p_(i))/(n_(i))=(n_("Total"))/(n_(1))p-(i)`
`rArr p_(i) =(n_(i))/n_("total") p_("total")=x_(i)P_("Total") ""....(3)`
Where `x^(i)` is themole FRACTION of the `i^(th)` component.


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