Question

Assuming the validity of Raoults law do the following calculations for benzene(1) toluene (2) system.

a. Given xi - 0.33 and T-373.15 K, find y, and P.
b. Given yi - 0.33 and T = 373.15 K, find xy and P
c. Given x] -0.33 and P = 120 kPa, find y, and T.
d. Given yı = 0.33 and P = 120 kPa, find x] and T

The Antoine equation and parameters are given below:

In Pˢᵃᵗ/KPa=A-(B/T+C) (T inºC)


Compounds
Benzene
A=13.8594
B=2773.78
C=220.07

Toluene
A=14.0098
B=3103.01
C=219.79

Answer 1

To perform the calculations in a benzene-toluene system using Raoult's law, calculations are required for mole fractions, vapor pressure, and temperature. Different scenarios are presented in the question, and step-by-step explanations are given.

option d is then correct

Step-by-step explanation:

In order to perform the calculations, we can use Raoult's law which relates the vapor pressure of a component in a solution to its mole fraction. Raoult's law states that the partial pressure of a component is equal to the product of its mole fraction and the vapor pressure of the pure component.

a. To find the mole fraction of benzene (x₁), we can use the given xi value of 0.33. The mole fraction of toluene (x₂) can be calculated by subtracting x₁ from 1. The total vapor pressure of the solution (P) can be obtained by using Raoult's law equation.

b. To find the mole fraction of benzene (x₁), we can use the given yi value of 0.33. The mole fraction of toluene (x₂) can be calculated by subtracting x₁ from 1. The total vapor pressure of the solution (P) can be obtained by using Raoult's law equation.

c. To find the mole fraction of benzene (x₁), we can use the given xi value of 0.33. The total vapor pressure of the solution (P) can be given. The mole fraction of toluene (x₂) can be calculated by subtracting x₁ from 1.

d. To find the mole fraction of benzene (x₁), we can use the given yi value of 0.33. The mole fraction of toluene (x₂) can be calculated by subtracting x₁ from 1. The temperature of the solution (T) can be obtained by using the Antoine equation and parameters given for benzene.