# A child’s dose of the antibiotic Amoxicillin is 25 mg/kg per day. What is the correct Amoxicillin dose for a 25-pound child?

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 17, Problem 66E
Textbook Problem
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## A child’s dose of the antibiotic Amoxicillin is 25 mg/kg per day. What is the correct Amoxicillin dose for a 25-pound child?

Interpretation Introduction

Interpretation:

The correct dose of amoxicillin for a 25- pound child is to be calculated.

Concept Introduction:

Dimensional analysis is used to set up and solve a unit conversion problem using conversion factors. Dimensional analysis is a way to convert units of measurement. In order to convert from one unit to another, the relationship between those units is to be known. These relationships are called conversion factors.

To perform a conversion between 2 units, a quantity given in a particular unit is converted into another unit. This type of conversion is as follows:

(quantity given)×(conversion factor)=(quantity sought)

A conversion factor is a fraction in which the numerator is the unit into which the quantity is to be converted and the denominator is the unit from which it is converted.

### Explanation of Solution

Given information: A child’s dose of the antibiotic amoxicillin is 25 mg/kg per day.

The conversion factor will be calculated as follows:

2.205 lb=1 kg

The conversion factor according to the definition is 1 kg2.2 lb. Multiplying the conversion factor with the given quantity will convert the quantity to the desired unit as follows:

First, convert 25 lb to kg as follows:

1 kg2.2 lb×25 lb=11

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