# Children’s ibuprofen is a solution containing 20 mg/mL. The recommended dose for a 2-year-old child is 75 mg. How many milliliters should be given to the 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 65E
Textbook Problem
1 views

## Children’s ibuprofen is a solution containing 20 mg/mL. The recommended dose for a 2-year-old child is 75 mg. How many milliliters should be given to the child?

Interpretation Introduction

Interpretation:

The recommended dose of ibuprofen in millimetres for a child is to be determined.

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: Children’s Ibuprofen is a solution containing 20mg/mL. The recommended dose for a 2 year-old child is 75 mg.

First, find the conversion factor. It is given that 20mg contains 1 mL ibuprofen.

Therefore, the conversion factor according to the definition is 1 mL20 mg

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