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25 September, 00:13

a 680g patient comes in with diarrhea. the doctor orders anti-diarrhea medication at a dosage of 15 mcg/kg TID x 3 days. rhye medication concentration 50mcg/ml. What is the patients dose in MCG? What is the total volume of medication you will send home?

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  1. 25 September, 00:15
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    dose in MCG = 10.2 mcg

    Total volume to be sent home = 1.836 ml (1836μl)

    Step-by-step explanation:

    weight of patient = 680g

    dosage in mcg of medication = 15mcg/kg

    This means that

    for every 1kg weight, 15mcg is given,

    since 1kg = 1000g, we can also say that for every 1000g weigh, 15mcg is given.

    1000g = 15mcg

    1g = 15/1000 mcg = 0.015 mcg

    ∴ 680g = 0.015 * 680 = 10.2 mcg

    Dosage in MCG = 10.2 mcg

    Next, we are also told ever ml volume of the drug contains 50 mcg weight of the drug (50mcg/ml). This can also be written as:

    50mcg = 1 ml

    1 mcg = 1/50 ml = 0.02 ml

    ∴ 10.2 mcg = 10.2 * 0.02 = 0.204 ml

    since the medication is to be taken TID (three times daily) for 3 days, the total number of times the drug is to be taken = 9 times.

    therefore, the total volume required = 0.204 * 9 = 1.836 ml (1836 μl)
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