A tank contains 100 L of salt water with a concentration of 2 g/L. To flush the salt out, pure water is poured in at 4 L/min, and the mixture in the tank flows out at the same rate. (a) What is the resulting IVP for the total amount Q(t) of salt in the tank? (b) Solve the IVP determined in part (a). (c) How long does it take until the amount of salt in the tank is 1% of its original amount?
A tank contains 100 L of salt water with a concentration of 2 g/L. To flush the salt out, pure water is poured in at 4 L/min, and the mixture in the tank flows out at the same rate. (a) What is the resulting IVP for the total amount Q(t) of salt in the tank? (b) Solve the IVP determined in part (a). (c) How long does it take until the amount of salt in the tank is 1% of its original amount?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 6T
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A tank contains 100 L of salt water with a concentration of 2 g/L. To flush the salt out, pure water is poured in at 4 L/min, and the mixture in the tank flows out at the same rate.
(a) What is the resulting IVP for the total amount Q(t) of salt in the tank?
(b) Solve the IVP determined in part (a).
(c) How long does it take until the amount of salt in the tank is 1% of its original amount?
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