Can someone help me with Computer Application homework assignment
Computer Applications in Chemical Engineering Using Excel and Maple to Solve Systems of Equations
The following system represents a material balance around a distillation column in which three
components are separated:
𝐹 𝑥1 𝑓
= 𝐷 𝑥1 𝑑 + 𝐵 𝑥1
𝑏
𝐹 𝑥2 𝑓
= 𝐷 𝑥2 𝑑 + 𝐵 𝑥2
𝑏
𝐹 𝑥3 𝑓
= 𝐷 𝑥3 𝑑 + 𝐵 𝑥3
𝑏
𝑥1 𝑓
+ 𝑥2 𝑓
+ 𝑥3 𝑓
= 1
𝑥1 𝑑 + 𝑥2
𝑑 + 𝑥3 𝑑 = 1
𝑥1 𝑏 + 𝑥2
𝑏 + 𝑥3 𝑏 = 1
Known values are:
𝐹 = 100
𝑥1 𝑓
= 0.8
𝑥3 𝑓
= 0.04
𝑥2 𝑑 = 0.2
𝑥1 𝑑 = 0.75
𝑥1 𝑏 = 0.9
In this problem the variables are defined as:
F = feed flow rate
D = distillate flow rate
B = bottoms product flow rate
𝑥𝑗 𝑖 = composition (mole fraction or mass fraction) where “i” is the stream designator and “j” is
the component designator, in this problem there are three components.
1. List the parameters that are to be found.
2. How many degrees of freedom are there?
3. Use Maple to find all parameters that are not specified above, that is, find the
parameters that are listed in No. 1.
4. Use Excel to find all parameters that are not specified above, that is, find the
parameters that are listed in No. 1.
5. Find out what “distillation” is and write in your own words how this problem relates to
distillation and why it might be important.
6. What happens if 𝑥1 𝑑 = 0.7? Explain what you think this means.