The client is prescribed gentamicin 1.7mg per kg.The clent weighs 150 pounds.The supply is 10 mg/ml. How much mL(s) will the client receive? round to the nearest tenth.
150 lb * 1kg/2.2lb * 1.7mg/kg * 1mL/10mg
= (150*1.7)/(2.2*10) = 11.6 mL
To calculate the amount of mL the client will receive, we need to convert the client's weight from pounds to kilograms and then multiply it by the prescribed dose. Let's break down the steps:
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.