Chapter 3, Problem 87A

Interpretation Introduction

Interpretation : The volume of air is to be calculated.

Concept Introduction : Any sample of matter takes up space, which is known as volume. The connectivity between mass and density is volume. The formula is given as:

  $\text{Volume =}\frac{\text{Mass}}{\text{Density}}$

Answer to Problem 87A

The volume of air is $4.2\times {10}^4{\text{cm}}^3$ .

Explanation of Solution

Given information:

The density of dry air is $1.19\times {10}^{-3}{\text{g/cm}}^3$ .

The given mass is $50\text{g}$ .

Any sample of matter takes up space, which is known as volume. The connectivity between mass and density is volume. The formula is given as:

  $\text{Volume =}\frac{\text{Mass}}{\text{Density}}$

To calculate the volume, substitute the values in the above equation.

  $\begin{array}{c}\text{Volume =}\frac{\text{Mass}}{\text{Density}}\\ =\frac{50\cancel{\text{g}}}{1.19\times {10}^{-3}\cancel{\text{g}}{\text{/cm}}^3}\\ =42.01\times {10}^3{\text{cm}}^3\\ =4.2\times {10}^4{\text{cm}}^3\end{array}$

Conclusion

The volume of air is $4.2\times {10}^4{\text{cm}}^3$ .