A physician orders 2gms of an antibiotic to be placed in 1000ml of D5W. Using a constituted injection that contains 300mg/2ml, how many mls should be added to the IV solution?
To determine the number of milliliters (ml) of the constituted injection that should be added to the IV solution, we can follow these steps:
Step 1: Calculate the total amount of antibiotic needed.
The physician ordered 2 grams of antibiotic. Since 1 gram is equal to 1000 milligrams (mg), this means we need 2000 mg of antibiotic.
Step 2: Determine the concentration of the constituted injection.
The constituted injection contains 300 mg of antibiotic per 2 ml. This means that for every 2 ml of the injection, there are 300 mg of antibiotic.
Step 3: Calculate the volume of the injection required.
To find out how many milliliters of the constituted injection are needed to provide 2000 mg of antibiotic, we can use a proportion:
(300 mg / 2 ml) = (2000 mg / x ml)
Cross-multiplying, we get:
300 mg * x ml = 2 ml * 2000 mg
Simplifying the equation further:
300x = 4000
Now, we can solve for x by dividing both sides of the equation by 300:
x = 4000 / 300
x ≈ 13.33 ml (rounded to two decimal places)
Therefore, approximately 13.33 ml of the constituted injection should be added to the IV solution to provide 2 grams (2000 mg) of the antibiotic.