A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a concentration of 90k kilos. To solve this problem, they continuously pour fresh water into the tank at a rate of 50 liters per minute and release the salt solution at the same rate. Find: A.The differential equation on this problem. B.The amount of salt after 3 days. C.Number of minutes at half of the original salt content.

A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a concentration of 90k kilos. To solve this problem, they continuously pour fresh water into the tank at a rate of 50 liters per minute and release the salt solution at the same rate. Find: A.The differential equation on this problem. B.The amount of salt after 3 days. C.Number of minutes at half of the original salt content.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 13EQ

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Question

A 100,000 liter tank of pure water was accidentally mixed with a 7000 liters of salt with a concentration of 90k kilos. To solve this problem, they continuously pour fresh water into the tank at a rate of 50 liters per minute and release the salt solution at the same rate. Find:
1. A.The differential equation on this problem.
2. B.The amount of salt after 3 days.
3. C.Number of minutes at half of the original salt content.

Expert Solution