Water polluted with 1/2 milligram per liter of silver is poured into a storage tank at a rate of 6 liters per minute. Furthermore, the polluted water is being absorbed into the ground at a rate of 1 liter per minute. Suppose that the tank begins with 20 liters of clean water, and the polluted water stops being poured after 60 minutes. a) Give the initial-value problem (i.e., differential equation + initial condition) for M(t)M(t)M(t), the amount of silver in the tank at time ttt.b) Solve the differential equation from part (a) to get a formula for M(t)M(t)M(t). This formula represents the amount of silver in the tank until the tank is full (i.e., until t=60t=60t=60). c) Having too much silver in your body causes a physical condition called argyria. People with argyria are characterized by having bluish-gray complexion due to silver entering the skin and hair. An average-weight individual who drinks 3 liters of water per day will turn blue if the silver concentration is about 0.33 mg/L. If you drink (at a regular basis) polluted water from the tank above once it is full, will you suffer from argyria?

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Answered: Water polluted with 1/2 milligram per…

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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Water polluted with 1/2 milligram per liter of silver is poured into a storage tank at a rate of 6 liters per minute. Furthermore, the polluted water is being absorbed into the ground at a rate of 1 liter per minute. Suppose that the tank begins with 20 liters of clean water, and the polluted water stops being poured after 60 minutes.

a) Give the initial-value problem (i.e., differential equation + initial condition) for M(t)M(t)M(t), the amount of silver in the tank at time ttt.
b) Solve the differential equation from part (a) to get a formula for M(t)M(t)M(t). This formula represents the amount of silver in the tank until the tank is full (i.e., until t=60t=60t=60).
c) Having too much silver in your body causes a physical condition called argyria. People with argyria are characterized by having bluish-gray complexion due to silver entering the skin and hair. An average-weight individual who drinks 3 liters of water per day will turn blue if the silver concentration is about 0.33 mg/L. If you drink (at a regular basis) polluted water from the tank above once it is full, will you suffer from argyria?

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