At a given temperature the vapor pressures of benzene and toluene are 183 mm hg and 59.2 mm hg, respectively. calculate the total vapor pressure over a solution of benzene and toluene with xbenzene = 0.580.

The total vapor pressure of the solution is 81.3 mmHg

Explanation:

To calculate the total pressure, we use the equation given by Dalton and Raoults, which is:

where,

= total vapor pressure

We are given:

Mole fraction of benzene = 0.580

Mole fraction of toluene = (1 - 0.580) = 0.420     (Total mole fraction is always equation to 1)

Vapor pressure of benzene = 183 mmHg

Vapor pressure of toluene = 59.2 mmHg

Putting values in above equation, we get:

Hence, the total vapor pressure of the solution is 81.3 mmHg