If x 1 and x 2 represent the mole fractions of a component A in the vapour phase and liquid mixture respectively and p A o and p B o represent vapour pressure of pure A and B, then total vapour pressu

Question

If x 1 and x 2 represent the mole fractions of a component A in the vapour phase and liquid mixture respectively and p A o and p B o represent vapour pressure of pure A and B, then total vapour pressure of liquid mixture is

TestHub · Accepted Answer

According to Dalton's law of partial pressures of gases,

$\frac{p_{A}}{p_{T o t a l}} = x_{1}$

$p_{A} = x_{1} p_{t o t a l}$ ...(i)

and according to Raoult's law

$p_{A} = p_{A}^{o} x_{2}$ ...(ii)

Now by equating (i) and (ii), we get

$p_{T o t a l} x_{1} = p_{A}^{o} x_{2}$

$p_{T o t a l} = \frac{p_{A}^{o} x_{2}}{x_{1}}$

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