Two identical, perfectly stirred tanks are each filled with 450 kg of a salt solution. The salt concentration in tank (1) initially is 0.05 kg salt per kg solution; the salt concentration in tank (2) is 0.025 kg salt per kg solution. The outlet of tank (1) is connected to the inlet of tank (2). Starting at time t = 0, pure water with a mass flow rate m = 0.19 kg/s is pumped into tank (1). The volume of the pipes are negligible relative to the volume of the tanks. Assume that the mass of the salt solution in each tank does not change with time.
Two identical, perfectly stirred tanks are each filled with 450 kg of a salt solution. The salt concentration in tank (1) initially is 0.05 kg salt per kg solution; the salt concentration in tank (2) is 0.025 kg salt per kg solution. The outlet of tank (1) is connected to the inlet of tank (2). Starting at time t = 0, pure water with a mass flow rate m = 0.19 kg/s is pumped into tank (1). The volume of the pipes are negligible relative to the volume of the tanks. Assume that the mass of the salt solution in each tank does not change with time.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Two identical, perfectly stirred tanks are each filled with 450 kg of a salt
solution. The salt concentration in tank (1) initially is 0.05 kg salt per kg
solution; the salt concentration in tank (2) is 0.025 kg salt per kg solution.
The outlet of tank (1) is connected to the inlet of tank (2). Starting at time
t = 0, pure water with a mass flow rate om = 0.19 kg/s is pumped into tank
(1). The volume of the pipes are negligible relative to the volume of the
%3D
tanks. Assume that the mass of the salt solution in each tank does not
change with time.
(a) Set up a mass balance for the salt in tank (1) that will describe the
change of the concentration x, in tank (1) as a function of time t.
(b) Set up a mass balance for the salt in tank (2) that will describe the
change of the concentration x, in tank (2) as a function of time t.
(c) Calculate the time at which x,(t) is maximum. What value does x, have
at that time?
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