MD order: Digoxin 10 mcg/kg IV as a digitalizing dose
Available: 0.1 mg/mL
Child's weight: 27 kg
How many milliliters will you give the child each day? Show all work using dimensional analysis
First, we need to calculate the total dose of digoxin needed for the child.
10 mcg/kg x 27 kg = 270 mcg
Next, we need to convert the dose from micrograms (mcg) to milligrams (mg) since the concentration of the medication given is in mg/mL.
1 mg = 1000 mcg
270 mcg x (1 mg / 1000 mcg) = 0.27 mg
Since the concentration of the medication available is 0.1 mg/mL, we can determine how much volume of the medication to administer by dividing the dose by the concentration.
0.27 mg / 0.1 mg/mL = 2.7 mL
Therefore, you will give the child 2.7 milliliters of digoxin each day.
To calculate the amount of Digoxin you should give to the child each day, you can follow these steps using dimensional analysis:
Step 1: Convert the child's weight from kg to g.
27 kg = 27,000 g
Step 2: Calculate the total dose of Digoxin needed using the dose formula:
Dose = Digoxin dose per kg x child's weight
Dose = 10 mcg/kg x 27,000 g
Dose = 270,000 mcg or 270 mg
Step 3: Calculate the volume of Digoxin needed using the available concentration:
Volume = Dose / Concentration
Volume = 270 mg / 0.1 mg/mL
Step 4: Simplify units to get the desired answer:
Volume = 2700 mL
Therefore, you will give the child 2700 milliliters (mL) of Digoxin each day.