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10 May, 03:06

You have on hand a 14% (w/v) topical antiseptic solution. you receive and order for 1 l of a 1:4000 solution. how much of what is on hand is needed to fill this order?

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  1. 10 May, 06:27
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    We are told we have a 14% w/v solution, where w/v is weight/volume. We are asked to prepare 1 L of a 1:4000 solution which can also be written as (1/4000) x 100% = 0.025% w/v solution.

    The formula needed here is C1V1 = C2V2 where C1 is the initial concentration, V1 is the initial volume, C2 is the new concentration, and V2 is the new volume.

    C1 = 14%

    C2 = 0.025 %

    V2 = 1 L = 1000 mL

    V1 = ?

    We must solve for the initial volume V1, which will tell us how much of the initial solution to use.

    (14) (V1) = (0.025) (1000 mL)

    V1 = 25/14

    V1 = 1.8 mL

    We will require 1.8 mL of the initial 14% w/v topical antiseptic solution to prepare 1L of a 0.025% w/v solution.
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