Chapter 15, Problem 34R

To determine

The mass of each element in an average human body based on the percent shown in the graph.

Answer to Problem 34R

The mass of Oxygen is $48.75\text{kg}$ , mass of Carbon is $13.5\text{kg}$ , mass of Hydrogen is $7.5\text{kg}$ , mass of Nitrogen is $2.25\text{kg}$ , and mass of other element is $3\text{kg}$ .

Explanation of Solution

Given info:

The percent of oxygen is $65\%$ .

The percent of carbon is $18\%$ .

The percent of hydrogen is $10\%$ .

The percent of nitrogen is $3\%$ .

The percent of other element is $4\%$ .

The average human body has a mass of $75\text{kg}$ .

Calculation:

Find the mass of the oxygen as follows.

$\begin{array}{c}\text{Oxygen}=75\times \frac{65}{100}\\ =48.75\text{kg}\end{array}$

Find the mass of the carbon as follows.

$\begin{array}{c}\text{Oxygen}=75\times \frac{18}{100}\\ =13.5\text{kg}\end{array}$

Find the mass of the hydrogen as follows.

$\begin{array}{c}\text{Oxygen}=75\times \frac{10}{100}\\ =7.5\text{kg}\end{array}$

Find the mass of the nitrogen as follows.

$\begin{array}{c}\text{Oxygen}=75\times \frac{3}{100}\\ =2.25\text{kg}\end{array}$

Find the mass of the other as follows.

$\begin{array}{c}\text{Oxygen}=75\times \frac{4}{100}\\ =3\text{kg}\end{array}$

Conclusion:

Thus,the mass of oxygen is $48.75\text{kg}$ , mass of carbon is $13.5\text{kg}$ , mass of hydrogen is $7.5\text{kg}$ , mass of nitrogen is $2.25\text{kg}$ , and mass of other element is $3\text{kg}$ .