mentals of Material Balancesfowchart shows a distillation column with two feed streams and threeThe followingstreamsStream 3m3(kg A/h)Stream 1m1(kg/h)0.03 kg B/kg0.97 kg C/kgStream 41200 kg/h0.70 kg A/kg4B(kg B/kg)xckg C/kg)Stream 25300 kg/h2A(kg A/kg)2B(kg B/kg)Stream 5mis(kg/h)0.60 kg B/kg0.40 kg C/kg(a) How many independent material balances may be written for this system?(b) How many of the unknown flow rates and/or mole fractions must be specified before the othersmay be calculated? (See Example 4.3-4. Also, remember what you know about the componentmole fractions of a mixture -for example, the relationship between 12A and x2B.) Briefly explainyour answer.c) Suppose values are given for imi and t2 Give a series of equations, each involving only a singleunknown, for the remaining variables. Circle the variable for which you would solve. (Once ae has been calculated in one of these equations, it may appear in subsequent equationswithout being counted as an unknown.)

Question
Asked Feb 20, 2019
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mentals of Material Balances
fowchart shows a distillation column with two feed streams and three
The following
streams
Stream 3
m3(kg A/h)
Stream 1
m1(kg/h)
0.03 kg B/kg
0.97 kg C/kg
Stream 4
1200 kg/h
0.70 kg A/kg
4B(kg B/kg)
xckg C/kg)
Stream 2
5300 kg/h
2A(kg A/kg)
2B(kg B/kg)
Stream 5
mis(kg/h)
0.60 kg B/kg
0.40 kg C/kg
(a) How many independent material balances may be written for this system?
(b) How many of the unknown flow rates and/or mole fractions must be specified before the others
may be calculated? (See Example 4.3-4. Also, remember what you know about the component
mole fractions of a mixture -for example, the relationship between 12A and x2B.) Briefly explain
your answer.
c) Suppose values are given for imi and t2 Give a series of equations, each involving only a single
unknown, for the remaining variables. Circle the variable for which you would solve. (Once a
e has been calculated in one of these equations, it may appear in subsequent equations
without being counted as an unknown.)
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mentals of Material Balances fowchart shows a distillation column with two feed streams and three The following streams Stream 3 m3(kg A/h) Stream 1 m1(kg/h) 0.03 kg B/kg 0.97 kg C/kg Stream 4 1200 kg/h 0.70 kg A/kg 4B(kg B/kg) xckg C/kg) Stream 2 5300 kg/h 2A(kg A/kg) 2B(kg B/kg) Stream 5 mis(kg/h) 0.60 kg B/kg 0.40 kg C/kg (a) How many independent material balances may be written for this system? (b) How many of the unknown flow rates and/or mole fractions must be specified before the others may be calculated? (See Example 4.3-4. Also, remember what you know about the component mole fractions of a mixture -for example, the relationship between 12A and x2B.) Briefly explain your answer. c) Suppose values are given for imi and t2 Give a series of equations, each involving only a single unknown, for the remaining variables. Circle the variable for which you would solve. (Once a e has been calculated in one of these equations, it may appear in subsequent equations without being counted as an unknown.)

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Expert Answer

Step 1

Part (a)

There are 3 species in the given process of distillation. Therefore, there will be 3 independent equations which can be written for this system, 1 material balance equation for each species.

Step 2

Part (b)

Degree of freedom helps in determining the number of variables that must be specified so that the remaining unknowns can be evaluated. The formula used to calculate degree of freedom (DF) is written below.

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Step 3

There are total 7 unknown variables present. These are, ṁ1, ṁ3, ṁ5, x2A, x2B, x4B, and  x­4C.

There are 3 independent equations, one for each of the species and 2 mole fracti...

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