Answer :
To administer the medication based on the patient's weight and the given concentration, you would need to give 1.68 mL. This is calculated by determining the maximum dose based on the patient's weight (84 kg) using a dose of 1 mcg/kg. The maximum dose is 84 mcg. Since the maximum dose allowed is 150 mcg, the smaller dose of 84 mcg is administered.
To calculate the number of milliliters (mL) to give based on the dosage of 1mcg/kg, we need to multiply the patient's weight (in kilograms) by the dosage and then convert the resulting micrograms (mcg) to milliliters (mL) using the provided concentration.
Given: Dosage: 1mcg/kg
Patient's weight: 84kg
Concentration: 100mcg/2mL
Calculate the total dosage for the patient:
Total dosage = Dosage per kg * Patient's weight
Total dosage = 1mcg/kg * 84kg
Total dosage = 84mcg
Determine the number of milliliters based on the concentration:
Number of mL = Total dosage / Concentration
Number of mL = 84mcg / 100mcg/2mL
To simplify the calculation, we can convert the concentration to micrograms per milliliter (mcg/mL) by dividing the numerator and denominator by 2:
Number of mL = 84mcg / (100mcg/2mL)
Number of mL = 84mcg / 50mcg/mL
Number of mL = 1.68mL Therefore, administer 1.68mL of the solution to the patient.
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