A solution contains 100 mg/mL of a drug, and the recommended dose is 50 mg/lb once a day. How much solution would be needed for one dose to be administered to a 20kg patient?'
20 kg * 2.2 lb/kg * 50 mg/lb * 1mL/100mg = 22 mL
To determine the amount of solution needed for one dose to be administered to a 20kg patient, we need to follow three steps:
Step 1: Convert patient weight from kg to lbs.
Step 2: Calculate the required drug dose for the patient.
Step 3: Determine the amount of solution needed.
Step 1: Convert patient weight from kg to lbs.
To convert kg to lbs, we need to multiply the weight in kg by the conversion factor of 2.205 lbs per kg.
20 kg * 2.205 lbs/kg = 44.1 lbs
The patient's weight is approximately 44.1 lbs.
Step 2: Calculate the required drug dose for the patient.
The recommended dose is 50 mg/lb. Therefore, we need to multiply the patient's weight in pounds by the recommended dose per pound.
44.1 lbs * 50 mg/lb = 2205 mg
The required drug dose for the patient is 2205 mg.
Step 3: Determine the amount of solution needed.
The solution concentration is given as 100 mg/mL. To determine the amount of solution needed, we divide the required drug dose by the concentration.
2205 mg ÷ 100 mg/mL = 22.05 mL
Therefore, approximately 22.05 mL of the solution would be needed for one dose to be administered to a 20kg patient.