The toxicity of many drugs is quantified by a standard called the LD 50 , the amount of drug per kilogram of body weight, required to kill 50% of the animals in a laboratory study. The LD 50 of morphine in mice is 500 mg/kg. By assuming that toxicities for humans are similar to those for mice, what would be the lethal dose of morphine for an 80-kg person?

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 68E
Textbook Problem
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The toxicity of many drugs is quantified by a standard called the LD 50 , the amount of drug per kilogram of body weight, required to kill 50% of the animals in a laboratory study. The LD 50 of morphine in mice is 500 mg/kg. By assuming that toxicities for humans are similar to those for mice, what would be the lethal dose of morphine for an 80-kg person?

Interpretation Introduction

Interpretation:

The lethal dose of morphine for an 80 kg person is to be determined.

Concept Introduction:

LD50 is a standard amount of drug required per kg of the body weight.

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: The toxicity of drugs is quantified by a standard called LD50, which is the amount of drug required per kilogram of the body weight, required to kill 50% of the animals in a laboratory study. The LD50 of morphine in mice is 500 mg/kg.

First, find the conversion factor. It is given that 1 kg is equal to 500 mg

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