The vapor pressures of benzene and toluene can be modeled by the expressions 3856.6 K T In In benzene 1 bar (² (Ptoluene 1 bar = 10.931 :-). = 11.777 4514.6 K T between the temperatures of 353 and 385 K, where the pressure is given in bars and T in K. Assuming that benzene and toluene form an ideal solution in all proportions, construct a temperature composition diagram of this system at an ambient pressure of 775 torr. (Note that 760 torr = 1 atm.) (a) Report the mole fraction of benzene in the liquid and vapor phases at T = 375 K. (b) Report the mole fraction of toluene the liquid and vapor phases at T = 360 K. You should include a copy of your diagram with your submitted work on the problem set.

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**Vapor Pressures of Benzene and Toluene**

The vapor pressures of benzene and toluene can be modeled by the expressions:

\[
\ln\left(\frac{P_{\text{benzene}}^*}{1 \text{ bar}}\right) = 10.931 - \frac{3856.6 \, K}{T}
\]

\[
\ln\left(\frac{P_{\text{toluene}}^*}{1 \text{ bar}}\right) = 11.777 - \frac{4514.6 \, K}{T}
\]

These equations are applicable between the temperatures of 353 and 385 K, where the pressure is given in bars and \( T \) in K.

**Instructions:**

Assuming that benzene and toluene form an ideal solution in all proportions, construct a temperature-composition diagram of this system at an ambient pressure of 775 torr. (Note: 760 torr = 1 atm.)

**Task Details:**

(a) Report the mole fraction of benzene in the liquid and vapor phases at \( T = 375 \, K \).

(b) Report the mole fraction of toluene in the liquid and vapor phases at \( T = 360 \, K \).

**Additional Requirement:**

You should include a copy of your diagram with your submitted work on the problem set.
Transcribed Image Text:**Vapor Pressures of Benzene and Toluene** The vapor pressures of benzene and toluene can be modeled by the expressions: \[ \ln\left(\frac{P_{\text{benzene}}^*}{1 \text{ bar}}\right) = 10.931 - \frac{3856.6 \, K}{T} \] \[ \ln\left(\frac{P_{\text{toluene}}^*}{1 \text{ bar}}\right) = 11.777 - \frac{4514.6 \, K}{T} \] These equations are applicable between the temperatures of 353 and 385 K, where the pressure is given in bars and \( T \) in K. **Instructions:** Assuming that benzene and toluene form an ideal solution in all proportions, construct a temperature-composition diagram of this system at an ambient pressure of 775 torr. (Note: 760 torr = 1 atm.) **Task Details:** (a) Report the mole fraction of benzene in the liquid and vapor phases at \( T = 375 \, K \). (b) Report the mole fraction of toluene in the liquid and vapor phases at \( T = 360 \, K \). **Additional Requirement:** You should include a copy of your diagram with your submitted work on the problem set.
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