Assume the tanks are at steady-state (i.e. concentration within each tank is not changing with time) and well-mixed (i.e. the concentration flowing out of the tank is equal to the concentration within the tank). Mass can be tracked by multiplying flow rate, Q (L/s) by concentration, c (mg/L) to give mg/s. Hint: for each tank the mass coming in mg/s must equal the mass going out mg/s, set this up like our two reactor example from lecture 6. Note: Volume balances must hold in addition to mass balances. In other words, the Q entering the tank must equal the Q leaving the tank. You can use this principle to find any values for Q that are missing in the figure.

Assume the tanks are at steady-state (i.e. concentration within each tank is not changing with time) and well-mixed (i.e. the concentration flowing out of the tank is equal to the concentration within the tank). Mass can be tracked by multiplying flow rate, Q (L/s) by concentration, c (mg/L) to give mg/s. Hint: for each tank the mass coming in mg/s must equal the mass going out mg/s, set this up like our two reactor example from lecture 6. Note: Volume balances must hold in addition to mass balances. In other words, the Q entering the tank must equal the Q leaving the tank. You can use this principle to find any values for Q that are missing in the figure.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Develop three mass balance equations for each tank in Figure 1. Solve to determine the
concentrations in each tank. Use 'np.linalg.solve' to solve the system of equations you generate.
Assume the tanks are at steady-state (i.e. concentration within each tank is not changing with
time) and well-mixed (i.e. the concentration flowing out of the tank is equal to the
concentration within the tank). Mass can be tracked by multiplying flow rate, Q (L/s) by
concentration, c (mg/L) to give mg/s. Hint: for each tank the mass coming in mg/s must equal
the mass going out mg/s, set this up like our two reactor example from lecture 6.
Note: Volume balances must hold in addition to mass balances. In other words, the Q entering
the tank must equal the Q leaving the tank. You can use this principle to find any values for Q
that are missing in the figure.
500
mg/s
221c2
21291
Q13c1
2
02392
Q33c3
500 mg/s
33 = 120
13 = 40
212 = 90
23 = 60
21 = 30

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Step 1: Given:

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Step 2: In this step, we derive the system of equations for each tank:

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Step 3: In this step, we find the concentration in each tank by solving the system of equation using python

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