150 lb * 1kg/2.2lb * 1.7mg/kg * 1mL/10mg
= (150*1.7)/(2.2*10) = 11.6 mL
= (150*1.7)/(2.2*10) = 11.6 mL
Step 1: Convert weight from pounds to kilograms
Since 1 pound is approximately equal to 0.4536 kilograms, we can use this conversion factor:
Weight (kg) = Weight (lb) × 0.4536
Weight (kg) = 150 lb × 0.4536
Weight (kg) = 68.04 kg (rounded to the nearest hundredth)
Step 2: Calculate the dose
The prescribed dose is given as 1.7 mg/kg. Multiply this dose by the client's weight in kilograms:
Dose (mg) = Dose (mg/kg) × Weight (kg)
Dose (mg) = 1.7 mg/kg × 68.04 kg
Dose (mg) = 115.686 mg (rounded to the nearest thousandth)
Step 3: Convert the dose from milligrams to milliliters
The supply of gentamicin is given as 10 mg/mL. Divide the calculated dose (in milligrams) by the concentration (in milligrams per milliliter) to find the equivalent amount in milliliters:
Volume (mL) = Dose (mg) / Concentration (mg/mL)
Volume (mL) = 115.686 mg / 10 mg/mL
Volume (mL) = 11.57 mL (rounded to the nearest tenth)
Therefore, the client will receive approximately 11.6 mL of gentamicin.