Chapter 3.2, Problem 21SP

Interpretation Introduction

Interpretation : The density of aluminum is to be calculated.

Concept Introduction : The connectivity between mass and volume is density. The formula of density is given as:

  $\text{Density =}\frac{\text{mass}}{\text{volume}}$

Answer to Problem 21SP

The density of aluminum is $2.5{\text{g/cm}}^3$ . Since the value is closer to the density of aluminum $\left(2.7{\text{g/cm}}^3\right)$ , the given metal is aluminum.

Explanation of Solution

Density is defined as the ratio of mass to volume. It gives the connectivity between mass and volume.

The formula of density is given as:

  $\text{Density =}\frac{\text{mass}}{\text{volume}}$

The given volume of Aluminium is $245{\text{cm}}^3$ .

The given mass of Aluminium is $612\text{g}$ .

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

  $\begin{array}{c}\text{Density =}\frac{\text{mass}}{\text{volume}}\\ =\frac{612\text{g}}{245{\text{cm}}^3}\\ =2.5{\text{g/cm}}^3\end{array}$

The density of aluminum is $2.5{\text{g/cm}}^3$ . Since the value is closer to the density of aluminum, the given metal is aluminum.