Explore BrainMass

Explore BrainMass

    Differential Equations and Mercury Levels in a Lake

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A lake contains 60 million cubic meters (2MCM) of water. Each year a nearby plant adds 8.5 grams of mercury to the lake. Each year 2MCM of lake water are replaced with mercury-free water.

    1. What is the differential equation that governs the amount of mercury in the lake?
    2. According to your differential equation how much mercury will be present in the lake in the long run?
    3. Supposed that in 1940 the power plant began contributing 8.5 grams pf mercury per year into the lake. In 2000 the plant reduced its pollution to 2 grams annually. In what year the will the mercury level fall below 120 grams?

    © BrainMass Inc. brainmass.com June 3, 2020, 5:28 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/differential-equations-mercury-levels-lake-27227

    Attachments

    Solution Summary

    The solution is 4 pages long in which a detailed procedure of converting the question to a differential equation and then solving it is described.

    $2.19

    ADVERTISEMENT