High School

The dose of a medicine is 3.0 mg/kg of body mass. Calculate the dose in milligrams for a 112-lb person.

A. 300
B. 740
C. 150
D. 3.0 × 10^5
E. 74
F. 1500

Answer :

Final answer:

The calculated dose of the medication for a 112-pound person is approximately 152.4 mg, which is rounded to 150 mg.

Explanation:

To calculate the drug dosage based on body weight, we must follow a three-step conversion process. The dose of the medicine is 3.0 mg/kg of body mass. The steps are as follows:

  • Convert the body weight from pounds to kilograms.
  • Calculate the total dose in milligrams based on the converted body weight in kilograms.
  • Determine the number of tablets or capsules required based on the total dose and medication's tablet/capsule size (not applicable here as we need the total dose in milligrams).

First, we convert 112 pounds to kilograms, knowing that 1 kilogram equals 2.20462 pounds:

112 lbs / 2.20462 = 50.80234 kg (rounded to 50.8 kg for simplicity).

Next, we multiply the body weight in kilograms by the prescribed dose:

50.8 kg * 3.0 mg/kg = 152.4 mg.

Therefore, the calculated dose for a 112-lb person is approximately 152.4 mg, which we can round to 150 mg for convenience.

The dose in milligrams for a 112-lb person will be 152.72 so none of any options is correct.

What is unit conversion?

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.

Given that,

Dose = 3 mg/kg

Since , 1 kg = 2.2 lb

So,

3 mg/kg = 3/2.2 mg/lb

Dose = 1.363636 mg/lb

Now dose for 112 lb person,

⇒ 1.3636 × 112

⇒ 152.727 mg

Hence "The dose in milligrams for a 112-lb person will be 152.72".

To learn more about unit conversion,

brainly.com/question/11543684

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