Two tanks each hold 3 liters of salt water and are connected by two
pipes (see figure below) the salt water in each tank is kept well
stirred. Pure water flows into tank A at a rate of 5 liters per minute
and the salt mixture exits tank B at the same rate.
in tank A and tank B respectively, at any time t ≥ 0.
Mathematics Homework Solutions
#56275
Mathematical modeling using systems of linear first order equations
Two tanks each hold 3 liters of salt water and are connected by two pipes (see figure below) the salt water in each tank is kept well stirred. Pure water flows into tank A at a rate of 5 liters per minute and the salt mixture exits tank B at the same rate.
Salt water flows from tank A to tank B at the rate of 9 liters per minute and flows from tank B to tank A at the rate of 4 liters per minute. If tank A initially contains 1 Kg of salt and tank B contains no salt, find the quantities of salt in tank A and tank B respectively, at any time t ≥ 0.
See attached file for full problem description with symbols and diagram.
The solution provides very detailed theory for developing governing equations of continuous flow stirred tank reactors. It then provides explanations and calculations for the final answer in a 3-page Word document.
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Vinh (Vincent) Dang, PhD - 4.8/5
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- double cstr salt.doc
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