e a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500 L/min to a tank of water that initially contained 8000 L of pure water. The resulting concentration of the solution in the tank can be modelled by the function C(t)= 40t/160+t,where C is the concentration, in grams per liter, and t is the time, in minutes. a) In how many minutes the saline concentration be 15 g/L? b) Is there an upper limit to the concentration in the tank? Explain. c) What restrictions must be placed on the domain of C if the tank has a maximum capacity of 150 000 L?
e a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500 L/min to a tank of water that initially contained 8000 L of pure water. The resulting concentration of the solution in the tank can be modelled by the function C(t)= 40t/160+t,where C is the concentration, in grams per liter, and t is the time, in minutes. a) In how many minutes the saline concentration be 15 g/L? b) Is there an upper limit to the concentration in the tank? Explain. c) What restrictions must be placed on the domain of C if the tank has a maximum capacity of 150 000 L?
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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To create a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500 L/min to a tank of water that initially contained 8000 L of pure water. The resulting concentration of the solution in the tank can be modelled by the function C(t)= 40t/160+t,where C is the concentration, in grams per liter, and t is the time, in minutes.
a) In how many minutes the saline concentration be 15 g/L?
b) Is there an upper limit to the concentration in the tank? Explain.
c) What restrictions must be placed on the domain of C if the tank has a maximum capacity of 150 000 L?
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