Chapter 3, Problem 86A

Interpretation Introduction

Interpretation : The kilograms of carbon is to be determined.

Concept Introduction : Dimensional analysis is a useful method for resolving conversion issues where measurements in one unit are changed to equal measurements in another.

Answer to Problem 86A

The kilograms of carbon is $81.3\text{kg}$ .

Explanation of Solution

Given information :

The mass of carbon in the coal of $2\text{kg}$ is $1.30\text{kg}$ .

The mass of other coal is $125\text{kg}$ .

The mass of carbon in the coal of $2\text{kg}$ is $1.30\text{kg}$

is given as:

  $\frac{1.30\text{kg}}{2\text{kg}}=0.65$ .

The mass of carbon in other coal is given as :

  $\begin{array}{c}\frac{1.30\text{kg}}{2\text{kg}}=0.65\times 125\text{kg}\\ \text{=}\text{81}\text{.3}\text{kg}\end{array}$

Conclusion

The kilograms of carbon is $81.3\text{kg}$ .