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Math Help - Tank rate Flow Pollution

  1. #1
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    Tank rate Flow Pollution

    Hi, I am having trouble solving this problem:

    A 1000 gallon holding tank that catches runoff from some chemical process
    initially has 800 gallons of water with 2 ounces of pollution dissolved in it.
    Polluted water flows into the tank at a rate of 3 gal/hr and contains 5 ounces/gal of
    pollution in it. A well mixed solution leaves the tank at 3 gal/hr as well. When the
    amount of pollution reaches 500 ounces the inflow of polluted water is cut off and
    fresh water will enter the tank at a decreased rate of 2 gallons while the outflow is
    increased to 4 gal.hr. Determine the amount of pollution in the tank at any time t.

    This site has the answer but does not really give any details. It is the 2nd example.
    Pauls Online Notes : Differential Equations - Modeling with First Order DE's

    Thank you very much for your time in helping me.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by MathHelps View Post
    Hi, I am having trouble solving this problem:

    A 1000 gallon holding tank that catches runoff from some chemical process
    initially has 800 gallons of water with 2 ounces of pollution dissolved in it.
    Polluted water flows into the tank at a rate of 3 gal/hr and contains 5 ounces/gal of
    pollution in it. A well mixed solution leaves the tank at 3 gal/hr as well. When the
    amount of pollution reaches 500 ounces the inflow of polluted water is cut off and
    fresh water will enter the tank at a decreased rate of 2 gallons while the outflow is
    increased to 4 gal.hr. Determine the amount of pollution in the tank at any time t.

    This site has the answer but does not really give any details. It is the 2nd example.
    Pauls Online Notes : Differential Equations - Modeling with First Order DE's

    Thank you very much for your time in helping me.
    The link seems pretty comprehensive, what in particular do you find difficult there?

    CB
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