A pediatrician prescribes the antibiotic amoxicillin to treat a child suffering from an ear infection. The prescribed dose is to be 72.1 mg of drug per kilogram patient body mass per day. The drug is to be administered twice each day in the form of a liquid containing 126.0 mg amoxicillin per milliliter.

If the child weighs 35.01 pounds, how many milliliters of the liquid should be administered in each dose?

Well, it looks like we have a math problem dressed up as a medical question. How sneaky! So, the first thing we need to do is convert those pounds into kilograms. Let me just grab my handy-dandy converter... *shuffles through papers* Ah, here it is! *blows off dust*

Okay, so 35.01 pounds converts to approximately 15.881 kilograms. Now we need to calculate how much amoxicillin the little munchkin needs in each dose.

The prescribed dose is 72.1 mg of amoxicillin per kilogram of body mass per day. So, for our little patient who weighs 15.881 kilograms, that would be 72.1 * 15.881 = 1146.1301 mg of amoxicillin per day.

Since the drug is administered twice a day, we have to divide this dose by 2 to get the amount needed for each dose. 1146.1301 / 2 = 573.06505 mg of amoxicillin per dose.

Now, we need to figure out how much of the liquid (which contains 126.0 mg of amoxicillin per milliliter) we should give to the child in each dose. To do that, we divide the required dose by the concentration of the liquid. 573.06505 / 126.0 = 4.5505208 milliliters.

So, the child should be administered approximately 4.5505208 milliliters of the liquid in each dose. Don't forget to bring a clown nose to make it a little less scary!

To answer this question, we need to convert the weight of the child from pounds to kilograms.

1 pound is equal to approximately 0.4536 kilograms. So, we can calculate the weight of the child in kilograms as follows:

Weight in kilograms = 35.01 pounds * 0.4536 kilograms/pound

Weight in kilograms = 15.881556 kilograms (rounded to five decimal places)

Now we can calculate the dose of amoxicillin in milligrams (mg) per day for the child.

Dose per day = 72.1 mg/kg/day * 15.881556 kg

Dose per day = 1147.0035376 mg/day (rounded to four decimal places)

Since the drug is to be administered twice each day, we can calculate the dose for each administration.

Dose per administration = Dose per day / 2

Dose per administration = 1147.0035376 mg/day / 2

Dose per administration = 573.5017688 mg (rounded to four decimal places)

Now, we need to calculate the volume (in milliliters) of the liquid containing 126.0 mg amoxicillin per milliliter required to deliver the dose of 573.5017688 mg.

Volume of liquid required = Dose per administration / Concentration of the liquid

Volume of liquid required = 573.5017688 mg / 126.0 mg/mL

Volume of liquid required ≈ 4.55298379 mL (rounded to three decimal places)

Therefore, approximately 4.553 mL of the liquid should be administered in each dose.

To calculate the number of milliliters of the liquid that should be administered in each dose, we need to follow a few steps:

Step 1: Convert the weight of the child from pounds to kilograms.
To convert pounds to kilograms, we divide the weight in pounds by 2.2046 since 1 pound is approximately equal to 0.4536 kilograms.

Weight in kilograms = 35.01 pounds / 2.2046 = 15.90 kilograms

Step 2: Calculate the total daily dose of amoxicillin for the child.
To calculate the total daily dose, we multiply the weight in kilograms by the prescribed dose of the drug per kilogram.

Total daily dose = 15.90 kilograms * 72.1 mg/kg = 1146.69 mg/day

Step 3: Determine the amount of liquid containing amoxicillin needed for each dose.
The concentration of amoxicillin in the liquid is given as 126.0 mg/mL. We need to find the volume in milliliters that contains the total daily dose.

Volume of liquid per day = Total daily dose / Concentration of amoxicillin
Volume of liquid per day = 1146.69 mg / 126.0 mg/mL = 9.11 mL

Step 4: Divide the total daily volume by 2 to get the volume for each dose.
Since the drug is to be administered twice a day, we divide the total daily volume by 2 to get the volume needed for each dose.

Volume per dose = Volume of liquid per day / 2
Volume per dose = 9.11 mL / 2 = 4.55 mL

Therefore, each dose of the liquid should be 4.55 milliliters.

Convert 35.01 pounds to kg. There are 2.204 pound/kg.

72.1 mg drug/kg x # kg = mg drug/day.
Twice per day so divide by 2 for per dose.
Your liquid is 126.0 mg drug/mL so
126.0/mL drug x # mL = per dose from above and solve for # mL. Watch the significant figures. Post your work if you get stuck.