Two tanks are connected as in Figure Q2b. Tank 1 initially contains 20 kilograms of salt dissolved in 100 litres of brine. Tank 2 initially contains 150 litres of brine in which 90 kilograms of salt are dissolved. At time zero, a brine solution containing D kilograms of salt per litre is added to Tank 1 at the rate of L litres per minute. Tank 1 has an output that discharges brine into Tank 2 at the rate of L litres per minute, and Tank 2 also has an output of L litres per minute. Evaluate the amount of salt in Tank 1 at any time.

Two tanks are connected as in Figure Q2b. Tank 1 initially contains 20 kilograms of salt dissolved in 100 litres of brine. Tank 2 initially contains 150 litres of brine in which 90 kilograms of salt are dissolved. At time zero, a brine solution containing D kilograms of salt per litre is added to Tank 1 at the rate of L litres per minute. Tank 1 has an output that discharges brine into Tank 2 at the rate of L litres per minute, and Tank 2 also has an output of L litres per minute. Evaluate the amount of salt in Tank 1 at any time.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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Question

Question is in the image

L = 4

D = 0.15 x L

b) Two tanks are connected as in Figure Q2b. Tank 1 initially contains 20 kilograms
of salt dissolved in 100 litres of brine. Tank 2 initially contains 150 litres of brine
in which 90 kilograms of salt are dissolved. At time zero, a brine solution
containing D kilograms of salt per litre is added to Tank 1 at the rate of L litres
per minute. Tank 1 has an output that discharges brine into Tank 2 at the rate of
L litres per minute, and Tank 2 also has an output of L litres per minute. Evaluate
the amount of salt in Tank 1 at any time.
L litres/min; D kg/litre
L litres/min
Tank 1
Tank 2
L litres/min
Figure Q2b

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