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Math Help - Mixture Problem

  1. #1
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    Question Mixture Problem

    guys, help me with this, i am still stuck, this is the last one, i am done with all of my work for today.

    Consider a reservoir with a volume of 8 billion cubic feet (ft^3) and an initial pollutant concentration of 0.25%. There is a daily of 500 million ft^3 of water with a pollutant concentration of 0.05% and an equal daily outflow of the well mixed water in the reservoir. How long will it take to reduce the pollutant concentration in the reservoir to 0.10%?
    Last edited by DMDil; July 12th 2009 at 08:19 PM.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by DMDil View Post
    guys, help me with this, i am still stuck, this is the last one, i am done with all of my work for today.

    Consider a reservoir with a volume of 8 billion cubic feet (ft^3) and an initial pollutant concentration of 0.25%. There is a daily of 500 million ft^3 of water with a pollutant concentration of 0.05% and an equal daily outflow of the well mixed water in the reservoir. How long will it take to reduce the pollutant concentration in the reservoir to 0.10%?
    The initial volume of pollutant is p_v(0)=8\time 10^9 \times 0.0025 cubic ft,

    The rate of change of pollutant volume is:

     <br />
p_v'(t)=-(0.5/8)p_v(t)+0.0005 \times 0.5\times 10^9<br />
cubic ft per day

    and you need to find the time at which p_v(t)=8\time 10^9 \times 0.001 cubic ft

    CB
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