High School

The therapeutic dose of an antibiotic is 45 mg per kg of body weight per day. The drug comes in a liquid form that contains 125 mg of drug per mL of liquid. If a patient weighs 18.6 kg, and the drug is administered once each day, calculate the amount of liquid to administer. Don’t forget significant figures. (1 pound = 0.4536 kg)

A. 251 mL
B. 52 mL
C. 51.7 mL
D. 33 mL
E. 6.7 mL

Answer :

Final answer:

The amount of liquid to administer is approximately 6.7 mL.

Explanation:

To calculate the amount of liquid to administer, we can use the following steps:

  1. Calculate the total dose of the antibiotic based on the patient's weight. Multiply the patient's weight (18.6 kg) by the therapeutic dose (45 mg/kg).
  2. Convert the total dose of the antibiotic from milligrams (mg) to milliliters (mL) using the conversion factor provided (125 mg/mL).

Let's calculate:

Step 1:

Total dose of the antibiotic = 18.6 kg * 45 mg/kg

Total dose of the antibiotic = 837 mg

Step 2:

Amount of liquid to administer = Total dose of the antibiotic / 125 mg/mL

Amount of liquid to administer = 837 mg / 125 mg/mL

Amount of liquid to administer ≈ 6.696 mL

Therefore, the amount of liquid to administer is approximately 6.7 mL.

Learn more about calculating the amount of liquid to administer based on the therapeutic dose and patient's weight here:

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