A tank, containing 1260 liters of liquid, has a brine solution entering at a constant rate of 4 liters per minute. The well-stirred solution leaves the tank at the same rate. The concentration within the tank is monitored and found to be c(t) = e 700 70 kg/L. Determine the amount of salt initially present within the tank. Initial amount of salt: = 18 kg help (numbers) Determine the inflow concentration Cin(t), where Cin(t) denotes the concentration of salt in the brine solution flowing into the tank. Cin(t) = kg/L help (formulas) Book: Section 1.4 of Notes on Diffy Qs

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A tank, containing 1260 liters of liquid, has a brine solution
entering at a constant rate of 4 liters per minute. The well-stirred
solution leaves the tank at the same rate. The concentration
within the tank is monitored and found to be
c(t)
=
e 700
70
kg/L.
Determine the amount of salt initially present within the tank.
Initial amount of salt: =
18 kg help (numbers)
Determine the inflow concentration Cin(t), where Cin(t) denotes
the concentration of salt in the brine solution flowing into the
tank.
Cin(t)
=
kg/L help (formulas)
Book: Section 1.4 of Notes on Diffy Qs
Transcribed Image Text:A tank, containing 1260 liters of liquid, has a brine solution entering at a constant rate of 4 liters per minute. The well-stirred solution leaves the tank at the same rate. The concentration within the tank is monitored and found to be c(t) = e 700 70 kg/L. Determine the amount of salt initially present within the tank. Initial amount of salt: = 18 kg help (numbers) Determine the inflow concentration Cin(t), where Cin(t) denotes the concentration of salt in the brine solution flowing into the tank. Cin(t) = kg/L help (formulas) Book: Section 1.4 of Notes on Diffy Qs
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