If the reaction temperature is too low, little reaction occurs and only a small amount of product is produced (little formation of B) If the reaction temperature is too high, most of primary product B reacts to form a lower-value secondary product (too much of B reacts to form C). So there is a temperature between these limits that maximizes the profitability of this reactor Consider the following data for the cost and values of A, B, and C Cost and value: V-$0.15/mol (cost of A in feed) V=$0.10/mol (value of A in product) V-$0.50/mol (value of B in product) V=$0.20/mol (value of C in product) A Use excel for the following calculation a. Select an arbitrary reactor temperature b. Use mole balance equations obtained in previous slides to calculate for CA, CB, and Cc Calculate an objective function (Ø has a unit of $/s) as c. Product value Feed Cost 0=EFCV-FCAOVAF which is Product value Feed cost Ø =FCV+FCBVB+FCcVct FCao VAF d. Repeat the calculation using a different temperature

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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4.Plot profit versus Temperature to find the optimum operating temperature which results in the
maximum profit.
5. What is the optimum temperature?
Economic Objective
Function,
1.5
1
0.5
0
250
-0.5
The final plot will look like:
T*
275 300 325
Reactor Temperature (K)
350
Transcribed Image Text:4.Plot profit versus Temperature to find the optimum operating temperature which results in the maximum profit. 5. What is the optimum temperature? Economic Objective Function, 1.5 1 0.5 0 250 -0.5 The final plot will look like: T* 275 300 325 Reactor Temperature (K) 350
NOTE:
If the reaction temperature is too low, little reaction occurs and only a small amount of product is
produced (little formation of B)
If the reaction temperature is too high, most of primary product B reacts to form a lower-value
secondary product (too much of B reacts to form C).
So there is a temperature between these limits that maximizes the profitability of this reactor
Consider the following data for the cost and values of A, B, and C
Cost and value:
V=$0.15/mol (cost of A in feed)
AF
V=$0.10/mol (value of A in product)
V=$0.50/mol (value of B in product)
V=$0.20/mol (value of C in product)
A
B
Use excel for the following calculation
a. Select an arbitrary reactor temperature
b. Use mole balance equations obtained in previous slides to calculate for CA, CB, and Cc
c. Calculate an objective function (Ø has a unit of $/s) as
Product value Feed Cost
Ø-EF₂C₁V₁-F₂CAOVAF which is
d. Repeat the calculation using a different temperature
I would suggest the following format in your excel:
Temperature in CA
CB
kelvin
for example 200
205
210
Product value
Feed cost
@ =FuCV+FCBVB+FCcVct FyCaoVAF
***
Put the equation
for CA to calculate
CA (it is a function
of Temperature)
Equation in part 2
(it is a function of
Temperature and
CA)
CC
equation in part
3 (it is a function
of Temperature
and CB)
put the
objective
function (it is a
function of CA,
CB and CC)
Transcribed Image Text:NOTE: If the reaction temperature is too low, little reaction occurs and only a small amount of product is produced (little formation of B) If the reaction temperature is too high, most of primary product B reacts to form a lower-value secondary product (too much of B reacts to form C). So there is a temperature between these limits that maximizes the profitability of this reactor Consider the following data for the cost and values of A, B, and C Cost and value: V=$0.15/mol (cost of A in feed) AF V=$0.10/mol (value of A in product) V=$0.50/mol (value of B in product) V=$0.20/mol (value of C in product) A B Use excel for the following calculation a. Select an arbitrary reactor temperature b. Use mole balance equations obtained in previous slides to calculate for CA, CB, and Cc c. Calculate an objective function (Ø has a unit of $/s) as Product value Feed Cost Ø-EF₂C₁V₁-F₂CAOVAF which is d. Repeat the calculation using a different temperature I would suggest the following format in your excel: Temperature in CA CB kelvin for example 200 205 210 Product value Feed cost @ =FuCV+FCBVB+FCcVct FyCaoVAF *** Put the equation for CA to calculate CA (it is a function of Temperature) Equation in part 2 (it is a function of Temperature and CA) CC equation in part 3 (it is a function of Temperature and CB) put the objective function (it is a function of CA, CB and CC)
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