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?

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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Question

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).

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