MD order: Administer 10 mg of a medication in 1000 mL 0.9% NS Instructions : Infuse medication at 5mcg / kg / minute
Client's weight : 120 lbs
How many milliliters per minute is the client receiving ? Show all work
To calculate the client's weight in kilograms, divide their weight in pounds by 2.205:
120 lbs / 2.205 = 54.43 kg
Next, we need to calculate the total dosage of the medication to be infused per minute. Since the dosage is given in mcg (micrograms) per kg (kilogram) per minute, we multiply the client's weight in kg by the dosage in mcg/kg/minute:
54.43 kg * 5 mcg/kg/minute = 272.15 mcg/minute
Now, we need to convert the mcg (micrograms) to mg (milligrams) since the medication is given in mg. To do this, divide the mcg dosage by 1000:
272.15 mcg/minute / 1000 = 0.27215 mg/minute
Finally, we need to convert the mg/minute to mL/minute since the medication is administered in mL. We can use the ratio of 10 mg in 1000 mL to find this conversion:
0.27215 mg/minute * 1000 mL/10 mg = 27.215 mL/minute
Therefore, the client is receiving 27.215 milliliters per minute.
To calculate the infusion rate in milliliters per minute, we need to convert the client's weight from pounds to kilograms.
Given:
Client's weight = 120 lbs
Step 1: Convert pounds to kilograms
1 pound = 0.453592 kg
Client's weight in kilograms = 120 lbs * 0.453592 kg/lb = 54.43104 kg
Step 2: Calculate the total dose of the medication in micrograms (mcg)
10 mg = 10,000 mcg (since 1 mg = 1,000 mcg)
Step 3: Calculate the infusion rate
Infuse medication at 5 mcg/kg/minute
Infusion rate = 5 mcg/kg/minute * 54.43104 kg = 272.1552 mcg/minute
Step 4: Convert the infusion rate to milliliters per minute
To do this, we need to know the concentration of the medication.
Given:
Medication concentration = 10 mg in 1000 mL
We can convert the concentration from mg/mL to mcg/mL by multiplying by 1,000.
Concentration = 10 mg in 1000 mL * 1,000 mcg/mg = 10,000 mcg/mL
Finally, we can calculate the infusion rate in milliliters per minute by dividing the infusion rate in mcg/minute by the concentration in mcg/mL.
Infusion rate in milliliters per minute = 272.1552 mcg/minute ÷ 10,000 mcg/mL = 0.02721552 mL/minute
Therefore, the client is receiving 0.0272 milliliters per minute of the medication.