# 11511010510014001300C 1200I10010009008580750 0.2 0.4 0.6 0.8 1.0Molc fraction benzeneP-1 atm(a) Tay diagram0 0.2 0.4 0.6 0.8 1.0Mole fraction benzencT-100°C(b) Pxy diagram

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The T-x-y and P-x-y diagrams for the binary benzene-toluene system is shown below.

a. The bubble point temperature for a vapor-liquid equilibrium system of 80% benzene and 20% toluene is about 83°C. Using Antoine’s Equation and without using the diagrams, calculate the composition of the vapor that is generated at 83°C.

b. This time, using the diagrams provided, determine the answer for Part a.

c. A vapor at atmospheric pressure consisting of 80% benzene and 20% toluene has a dew point of 88°C. Using Antoine’s Equation and without using the diagrams, calculate the composition of the liquid that is in equilibrium with the vapor.

d. Using the diagrams provided, what is the composition of the liquid that is in equilibrium with a vapor that is 50% benzene and 50% toluene?

e. You have a gas mixture of 40% benzene, 10% toluene, and 50% helium. The gas mixture is compressed isothermally at 80°C until condensation occurs. The helium is insoluble in the condensate. Without using the diagrams, determine the pressure at which condensation begins and the composition of the initial condensate. help_outlineImage Transcriptionclose115 110 105 100 1400 1300 C 1200 I100 1000 900 85 80 75 0 0.2 0.4 0.6 0.8 1.0 Molc fraction benzene P-1 atm (a) Tay diagram 0 0.2 0.4 0.6 0.8 1.0 Mole fraction benzenc T-100°C (b) Pxy diagram fullscreen
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Step 1

Part (a)

The Antoine equation to be used is written below.

Here, Pi* is the vapor pressure of the component i.

A, B, and C are the constants for component i.

T is the temperature at which Pi* is  to be calculated.

Antoine equation constants for Benzene and Toluene are written in the table shown below.

Step 2

Now, calculate the value of vapor pressure of benzene and toluene at 83°C as:

Step 3

Now, use Raoult’s law and assume the vapor and liquid phases to be ideal. Use the system pressure ...

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