p A and p B are the vapour pressure of pure liquid components, A and B , respectively of an ideal binary solution. If x A represents the mole fraction of component A , the total pressure of the

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p A ​ and p B ​ are the vapour pressure of pure liquid components, A and B , respectively of an ideal binary solution. If x A ​ represents the mole fraction of component A , the total pressure of the solution will beNEET 2012 (Screening)

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Total pressure, p T ​ = p A ′ ​ + p B ′ ​ We know that, p A ′ ​ = p A ​ x A ​ p B ′ ​ = p B ​ x B ​ Substituting the values of p A ′ ​ and p B ′ ​ in Eq. (i) p T ​ [ x A ​ + x B ​ ∴ p T ​ ​ = p A ​ x A ​ + p B ​ x B ​ = 1 ⇒ x A ​ = 1 − x B ​ or x B ​ = 1 − x A ​ ] = p A ​ x A ​ + p B ​ ( 1 − x A ​ ) = p A ​ x A ​ + p B ​ − p B ​ x A ​ = p B ​ + x A ​ ( p A ​ − p B ​ ) ​

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