Toluene (1) and water (2) are essentially immiscible as liquids. Consider a vapo

Question

Toluene (1) and water (2) are essentially immiscible as liquids. Consider a vapour mixture with z1 = 0.2 Determine the bubble-point temperature (T*) and the corresponding mole fraction of vapour (y1*) at which this occurs. Also, determine the dew point and vapor mole fraction for this mixture when it is cooled at constant pressure of 101.33 kPa. See the data sheet for Antione constants provided in Section 2 of this course.

Hints:

This is actually a VLLE situation! The situation described is ‘similar’ to starting at point m on the phase diagram below, where it starts off as a vapor, and then crosses into the boundary of region I where the vapour phases are in equilibrium with pure liquid 1. A similar analogy can be developed for crossing the boundary into region II.

The bubble-point temperature occurs at T*, which is the temperature at which PT = P1sat + P2sat. This occurs at the boundary into region III, where two pure liquid phases exist; one of component 1 and the other of component 2.

The vapor composition at T* is given by y1* = P1sat/PT

The dew point temperature occurs when z1 = y1(phase II) = 1 – P2sat/PT

A spreadsheet solution will be suitable for this task.

Explanation / Answer

Toluene (1) and water (2) are essentially immiscible as liquids. Consider a vapo

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