If x1 and x2 represent the mole fractions of a component A in the vapour phase and liquid mixture respectively and pAo and pBo represent vapour pressure of pure A and B, then total vapour pressure of liquid mixture is

Question

If x1 and x2 represent the mole fractions of a component A in the vapour phase and liquid mixture respectively and pAo and pBo represent vapour pressure of pure A and B, then total vapour pressure of liquid mixture is (A) (pAo x1/x2) (B) (pAo x2/x1) (C) (pBo x1/x2) (D) (pBo x2/x1)

Tardigrade Admin · 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}}

Q. 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

$\frac{p _{A}^{o} x _{1}}{x _{2}}$

$\frac{p _{A}^{o} x _{2}}{x _{1}}$

$\frac{p _{B}^{o} x _{1}}{x _{2}}$

$\frac{p _{B}^{o} x _{2}}{x _{1}}$

Q. If x1​ and x2​ represent the mole fractions of a component A in the vapour phase and liquid mixture respectively and pAo​ and pBo​ represent vapour pressure of pure A and B, then total vapour pressure of liquid mixture is

x2​pAo​x1​​

x1​pAo​x2​​

x2​pBo​x1​​

x1​pBo​x2​​

According to Dalton's law of partial pressures of gases, pTotal​pA​​=x1​ pA​=x1​ptotal​ ...(i) and according to Raoult's law pA​=pAo​x2​ ...(ii) Now by equating (i) and (ii), we get pTotal​x1​=pAo​x2​ pTotal​=x1​pAo​x2​​

Q. 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

$\frac{p _{A}^{o} x _{1}}{x _{2}}$

$\frac{p _{A}^{o} x _{2}}{x _{1}}$

$\frac{p _{B}^{o} x _{1}}{x _{2}}$

$\frac{p _{B}^{o} x _{2}}{x _{1}}$