The vapour pressures of two volatile liquids A and B at 25° C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is (x/17). The value of x is

Question

The vapour pressures of two volatile liquids A and B at 25° C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is (x/17). The value of x is  (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

( y B /1- y B )=( P B o / P A °)[( X B /1- X B )] ⇒ ( y B /1- y B )=(100/50)[(0.7/0.3)]=(14/3) ⇒ y B =(14/17)

Q. The vapour pressures of two volatile liquids $A$ and $B$ at $2 5^{\circ} C$ are $50$ Torr and $100$ Torr, respectively. If the liquid mixture contains $0.3$ mole fraction of $A$ , then the mole fraction of liquid B in the vapour phase is $\frac{x}{17}$ . The value of $x$ is _____

$\frac{y _{B}}{1 - y _{B}} = \frac{P _{B}^{o}}{P _{A}^{\circ}} [\frac{X _{B}}{1 - X _{B}}]$
$\Rightarrow \frac{y _{B}}{1 - y _{B}} = \frac{100}{50} [\frac{0.7}{0.3}] = \frac{14}{3}$
$\Rightarrow y_{B} = \frac{14}{17}$

Q. The vapour pressures of two volatile liquids A and B at 25∘C are 50 Torr and 100 Torr, respectively. If the liquid mixture contains 0.3 mole fraction of A, then the mole fraction of liquid B in the vapour phase is 17x​. The value of x is _____

1−yB​yB​​=PA∘​PBo​​[1−XB​XB​​] ⇒1−yB​yB​​=50100​[0.30.7​]=314​ ⇒yB​=1714​

Q. The vapour pressures of two volatile liquids $A$ and $B$ at $2 5^{\circ} C$ are $50$ Torr and $100$ Torr, respectively. If the liquid mixture contains $0.3$ mole fraction of $A$ , then the mole fraction of liquid B in the vapour phase is $\frac{x}{17}$ . The value of $x$ is _____

$\frac{y _{B}}{1 - y _{B}} = \frac{P _{B}^{o}}{P _{A}^{\circ}} [\frac{X _{B}}{1 - X _{B}}]$
$\Rightarrow \frac{y _{B}}{1 - y _{B}} = \frac{100}{50} [\frac{0.7}{0.3}] = \frac{14}{3}$
$\Rightarrow y_{B} = \frac{14}{17}$