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14 May, 06:20

How many milliliters of a 1:2000 drug "i" solution and a 7% drug "i" solution mixed would make 120ml of a 3.5% solution of drug "i"?

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  1. 14 May, 06:29
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    To solve this problem, let us say that:

    x = volume of 1:2000 drug "i" solution

    y = volume of 7% drug "i" solution

    Assuming volume additive, then this forms:

    x + y = 120 mL

    x = 120 - y - - - > 1

    1:2000 also refers to 0.0005 concentrations and 7% also refers to 0.07 concentrations. By doing a component balance:

    0.0005 x + 0.07 y = 0.035 (120 mL)

    0.0005 x + 0.07 y = 4.2

    Substituting equation 1 into this derived equation to get an equation in terms of y:

    0.0005 (120 - y) + 0.07 y = 4.2

    0.06 - 0.0005 y + 0.07 y = 4.2

    0.0695 y = 4.14

    y = 59.568 mL = 59.57 mL

    From equation 1, x would be:

    x = 120 - 59.57

    x = 60.43 mL

    Answers:

    59.57 mL of 1:2000 drug "i" solution

    60.43 mL of 7% drug "i" solution
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