Which of the following systems of differential equations would dictate the rates of change of the salt concentration for the two-tank system shown below? 10 L/min 70 g/L VAL 14 L/min 6 L/min VB L 10 L/min

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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Which of the following systems of differential equations would dictate the rates of
change of the salt concentration for the two-tank system shown below?
10 L/min
70 g/L
VAL
14 L/min
I
6 L/min
OC A/= (1/VA) (10 × 70 + 6cg - 14CA),
c_l= (1/V₂) (14c. – 16c)
OC Al= (1/VA) (70 – 6cв - 14CA),
CB= (1/VB) (14CA - 16CB)
16св)
VB L
C Al= (1/VA) (14CA
CB/= (1/VB) (14CA - 16CB)
10 × 70 – 6cß),
C Al= (1/VA) (10 × 70+ 16cB - 14CA),
CB/= (1/VB) (14CA 10CB)
10 L/min
Transcribed Image Text:Which of the following systems of differential equations would dictate the rates of change of the salt concentration for the two-tank system shown below? 10 L/min 70 g/L VAL 14 L/min I 6 L/min OC A/= (1/VA) (10 × 70 + 6cg - 14CA), c_l= (1/V₂) (14c. – 16c) OC Al= (1/VA) (70 – 6cв - 14CA), CB= (1/VB) (14CA - 16CB) 16св) VB L C Al= (1/VA) (14CA CB/= (1/VB) (14CA - 16CB) 10 × 70 – 6cß), C Al= (1/VA) (10 × 70+ 16cB - 14CA), CB/= (1/VB) (14CA 10CB) 10 L/min
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