Chapter 13, Problem 1SEPP

A mixture of two volatile liquids is said to be ideal if each component obeys Raoult's law:

$P_{\text{i}}=xi{P}_{\text{i}}^{\text{o}}$

Two volatile liquids A (molar mass 100 g/mol) and B (molar mass no g/mol) form an ideal solution. At $\text{55°C}$, A has a vapor pressure of 98 mmHg and B has a vapor pressure of 42 mmHg. A solution is prepared by mixing equal masses of A and B.

Calculate the mole fraction of each component in the solution.

a) $\begin{array}{l}{X}_{\text{A}}\text{= 0}\text{.50, }{X}_{\text{B}}\text{=0}\text{.50}\hfill \end{array}$

b) $\begin{array}{l}{X}_A\text{= 0}\text{.52, }{X}_{\text{B}}\text{= 0}\text{.48}\hfill \end{array}$

c) $\begin{array}{l}{X}_{\text{A}}\text{ =1}\text{.0, }{X}_{\text{B}}\text{= 0}\text{.91}\hfill \end{array}$

d) $\begin{array}{l}{X}_A\text{= 0}\text{.09, }{X}_{\text{B}}\text{= 0}\text{.91}\hfill \end{array}$