(A) Given: $\frac{P_A^o}{P_B^o} = \frac{1}{3}$ and $\frac{y_A}{y_B} = \frac{4}{3}$.According to Raoult's law and Dalton's law:$\frac{y_A}{y_B} = \frac

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(A) Given: $\frac{P_A^o}{P_B^o} = \frac{1}{3}$ and $\frac{y_A}{y_B} = \frac{4}{3}$.According to Raoult's law and Dalton's law:$\frac{y_A}{y_B} = \frac{P_A}{P_B} = \frac{P_A^o \cdot x_A}{P_B^o \cdot x_B}$Substituting the values:$\frac{4}{3} = \frac{1}{3} \cdot \frac{x_A}{x_B}$$\frac{x_A}{x_B} = 4 \Rightarrow x_A = 4x_B$Since $x_A + x_B = 1$,$4x_B + x_B = 1$ $\Rightarrow 5x_B = 1$ $\Rightarrow x_B = \frac{1}{5}$.

Class 12 Chemistry Solutions Lowering of vapour pressure

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Two liquids $A$ and $B$ have vapour pressure in the ratio $P_A^o : P_B^o = 1 : 3$ at a certain temperature. If the ratio of mole fractions of $A$ to $B$ in the vapour phase is $4 : 3$,then the mole fraction of $B$ in the solution at the same temperature is

A
$\frac{1}{5}$
B
$\frac{2}{3}$
C
$\frac{4}{5}$
D
$\frac{1}{4}$

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Lowering of vapour pressure

The vapor pressure of water at a certain temperature is $3000 \ N \ m^{-2}$. When a non-electrolyte solute is added,it decreases by $300 \ N \ m^{-2}$. The molality of the solution is ............. $m$.

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Which of the following units is useful in relating concentration of solution with its vapour pressure?

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Assertion $:-$ Vapour pressure of a liquid increases on increasing surface area.
Reason $:-$ Rate of vaporisation of a liquid is directly proportional to surface area.

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Vapour pressure of a pure solvent at $90\,^{\circ}C$ is $1020\, torr$. $A$ solution of $0.1\, m$ concentration has a vapour pressure of $1000\, torr$. What is the molecular weight of the solvent?

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The weight in grams of a non-volatile solute (mol. wt. $60$) to be dissolved in $90 \ g$ of water to produce a relative lowering of vapour pressure of $0.02$ is

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Two liquids $A$ and $B$ have vapour pressure in the ratio $P_A^o : P_B^o = 1 : 3$ at a certain temperature. If the ratio of mole fractions of $A$ to $B$ in the vapour phase is $4 : 3$,then the mole fraction of $B$ in the solution at the same temperature is

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The vapor pressure of water at a certain temperature is $3000 \ N \ m^{-2}$. When a non-electrolyte solute is added,it decreases by $300 \ N \ m^{-2}$. The molality of the solution is ............. $m$.

Which of the following units is useful in relating concentration of solution with its vapour pressure?

Assertion $:-$ Vapour pressure of a liquid increases on increasing surface area.Reason $:-$ Rate of vaporisation of a liquid is directly proportional to surface area.

Vapour pressure of a pure solvent at $90\,^{\circ}C$ is $1020\, torr$. $A$ solution of $0.1\, m$ concentration has a vapour pressure of $1000\, torr$. What is the molecular weight of the solvent?

The weight in grams of a non-volatile solute (mol. wt. $60$) to be dissolved in $90 \ g$ of water to produce a relative lowering of vapour pressure of $0.02$ is

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Assertion $:-$ Vapour pressure of a liquid increases on increasing surface area.
Reason $:-$ Rate of vaporisation of a liquid is directly proportional to surface area.