Question

Asked Feb 25, 2019

In certain composition ranges of mixtures of ethylene tetrachloride (C2Cl4), isopropyl alcohol, and water separate, if given enough time, into two liquid phases. A table of eqilibirium data is shown below: The left-hand side of the table shows the compositions in the lower layer and the right-hand side shows the compositions of the upper layer in equilibrium with that composition. In the process for today, 100 lbs of a composition of 40%-by-mass C2Cl4, 38%-by-mass isopropyl alcohol and 22%-by-mass water is initially mixed and then allowed to separate.

Lower |
layer |
%-by-mass |
Upper |
layer |
%-by-mass |

C2Cl4 | isopropyl alcohol | water | C2Cl4 | isopropyl alcohol | water |

100 | 0 | 0 | 0 | 0 | 100 |

94 | 5 | 1 | 1 | 33 | 66 |

88 | 10 | 2 | 21 | 49 | 30 |

82 | 15 | 3 | 35 | 46 | 19 |

76 | 20 | 4 | 20 | 38 | 12 |

a. Draw a schematic of this process.

b. Based on your drawing, conduct a degree of freedom analysis. Is this problem solvable? Justify your answer.

c. Assuming that the lower level contains 10%-by-mass isopropyl alcohol, what is the mass of each of the two phases formed?

Need help with part c please.

Step 1

Part (c)

The basis of the calculation is taken as 100 lbs of feed mixture containing 40 mass% C_{2}Cl_{4}, 38% C_{3}H_{8}O and 22% H_{2}O.

After equilibrium is attained, the lower layer contains 10 mass% of C_{3}H_{8}O.

Let, *m _{1}* be the mass of upper layer and

*x _{1}^{A}* is the mass fraction of C

*x _{2}^{A}* is the mass fraction of C

Apply total mass balance on the given process and label it as equation (1).

Apply mass balance on C_{2}Cl_{4} for the given process and label it as equation (2).

Apply mass balance on C_{3}H_{8}O for the given process and label it as equation (3).

Apply equilibrium equation for the mass fraction on upper layer and label it as equation (4).

Apply equilibrium equation for the mass fraction on lower layer and label it as equation (5).

Step 2

Solve equations (1), (2), (3), (4), and (5) simultaneously ...

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