Solutions for Chemical Engineering Computation with MATLAB® 2nd Edition by Yeo (All Chapters included)
4 views 0 purchase
Course
Computers
Institution
Computers
Complete Solutions Manual for Chemical Engineering Computation with MATLAB® 2nd Edition by Yeong Koo Yeo ; ISBN13: 9780367547820......There is no Solution for Ch 1. MATLAB Programs and Lab slides are included...1. Introduction to MATLAB®
2. Numerical Methods with MATLAB®
3. Physical Properties...
Chemical Engineering Computation
with MATLAB® 2nd Edition by
Yeong Koo Yeo
Complete Chapter Solutions Manual
are included (Ch 1 to 11)
** Immediate Download
** Swift Response
** All Chapters included
** MATLAB Programs
** Lecture Slides
,Table of Contents are given below
1. Introduction to MATLAB®
2. Numerical Methods with MATLAB®
3. Physical Properties
4. Thermodynamics
5. Fluid Mechanics
6. Chemical Reaction Engineering
7. Mass Transfer
8. Heat Transfer
9. Process Control
10. Optimization
11. Computational Intelligence
,Chapter 2 Numerical Methods with MATLAB
Linear Systems
2.1 In the photosynthesis reaction, water reacts with carbon dioxide to give glucose and oxygen. This
reaction can be expressed as
𝑥1 𝐶𝑂2 + 𝑥2 𝐻2 𝑂 → 𝑥3 𝑂2 + 𝑥4 𝐶6 𝐻12 𝑂6
Determine the values of coefficients 𝑥1 , 𝑥2 , 𝑥3 , and 𝑥4 to balance the equation. Is it possible to
determine these values? If not, under what conditions can the solutions be found?
2.1(Solution)
Carbon balance: 𝑥1 = 6𝑥4 , oxygen balance: 2𝑥1 + 𝑥2 = 2𝑥3 + 6𝑥4 , hydrogen balance: 2𝑥2 = 12𝑥4 .
Rearrangement of these equations gives
𝑥1
1 0 0 −6 𝑥 0
2
[2 1 −2 −6 ] [𝑥 ] = [0]
3
0 2 0 −12 𝑥 0
4
We can use the backslash operator to get the solution:
>> x = A\b
x=
0
0
0
0
The given equations can be rewritten as
𝑥1 − 6𝑥4 = 0, 𝑥2 − 6𝑥4 = 0, 𝑥3 − 6𝑥4 = 0 ⇒ 𝑥1 = 6𝑥4 , 𝑥2 = 6𝑥4 , 𝑥3 = 6𝑥4
Thus if we set 𝑥4 = 1, we have 𝑥1 = 𝑥2 = 𝑥3 = 6.
2.2 Four reactors are connected by pipes where directions of flow are depicted by means of arrows as
shown in Figure P2.218. The flow rate of the key component is given by the volumetric flow rate
𝑄 (𝑙𝑖𝑡𝑒𝑟/𝑠𝑒𝑐) multiplied by the concentration 𝐶 (𝑔/𝑙𝑖𝑡𝑒𝑟) of the component. The incoming flow rate is
assumed to be equal to the outgoing rate. Using the flow rates given below, calculate the concentration at
each reactor:
𝑄13 = 75 𝑙𝑖𝑡𝑒𝑟 ⁄𝑠𝑒𝑐 , 𝑄24 = 20 𝑙𝑖𝑡𝑒𝑟 ⁄𝑠𝑒𝑐 , 𝑄33 = 60 𝑙𝑖𝑡𝑒𝑟 ⁄𝑠𝑒𝑐 ,
𝑄21 = 25 𝑙𝑖𝑡𝑒𝑟 ⁄𝑠𝑒𝑐 , 𝑄32 = 45 𝑙𝑖𝑡𝑒𝑟 ⁄𝑠𝑒𝑐 , 𝑄43 = 30 𝑙𝑖𝑡𝑒𝑟 ⁄𝑠𝑒𝑐
FIGURE P2.2
2.2(Solution)
Material balance for each reactor can be expressed as follows:
Reactor 1: 350 + 𝑄21 𝐶2 = 𝑄13 𝐶1 ⇒ 350 + 25𝐶2 = 75𝐶1 ⇒ 75𝐶1 − 25𝐶2 = 350
Reactor 2: 𝑄32 𝐶3 = 𝑄21 𝐶2 + 𝑄24 𝐶2 ⇒ 45𝐶3 = 25𝐶2 + 20𝐶2 ⇒ 45𝐶3 − 45𝐶2 = 0
>> A = [75 -25 0 0;0 -45 45 0;75 0 -105 30;0 -20 0 30]; b = [350 0 0 150]'; C = A\b
C=
7.4444
8.3333
8.3333
10.5556
2.3 Paraxylene, styrene, toluene and benzene are to be separated with the array of distillation columns
shown in Figure P2.3.19 Determine the molar flow rates (𝑘𝑔𝑚𝑜𝑙/𝑚𝑖𝑛) of 𝐷1 , 𝐷2 , 𝐵1 , and 𝐵2 .
FIGURE P2.3
2.3(Solution)
Material balance for each component is given by:
Xylene: 0.07𝐷1 + 0.18𝐵1 + 0.15𝐷2 + 0.24𝐵2 = 0.15 × 80 = 12
Styrene : 0.04𝐷1 + 0.24𝐵1 + 0.1𝐷2 + 0.65𝐵2 = 0.25 × 80 = 20
Toluene : 0.54𝐷1 + 0.42𝐵1 + 0.54𝐷2 + 0.1𝐵2 = 0.4 × 80 = 32
Benzene : 0.35𝐷1 + 0.16𝐵1 + 0.21𝐷2 + 0.01𝐵2 = 0.2 × 80 = 16
These equations can be rearranged as 𝐴𝑥 = 𝑏, which can be solved by using the backslash operator:
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller mizhouubcca. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $29.49. You're not tied to anything after your purchase.
