(2 points) a tank contains 90 kg of salt and 2000 l of water. pure water enters a tank at the rate 6 l/min. the solution is mixed and drains from the tank at the rate 3 l/min. (a) what is the amount of salt in the tank initially? a(0)= 90 kg (kg of salt) (b) enter an expression for the total amount of brine (salt-water) in the tank at a time t minutes after this process starts? total number of liters of brine at time t = l (l of brine) (c) let a represent the number of kg of salt in the tank at time t. enter an expression for the concentration of salt in the tank at a time t minutes after this process starts? concentration: c(t)= kg/l (kg of salt per l of brine) (d) enter a differential equation to represent the rate at which the amount of salt is changing in the tank at time t. dadt= (e) solve this differential equation and use the initial conditions to enter the model that gives the amount of salt in the tank at time t. a(t)= (f) find the amount of salt in the tank after 2 hours. amount = kg (g) find the concentration of salt in the solution in the tank as time approaches infinity. (assume your tank is large enough to hold all the solution.) concentration = kg/l
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Category: mechanicalengineering |
Author: Hedda Galya

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