Chapter 3, Problem 7STP

Interpretation Introduction

Interpretation : The density of the metal is to be calculated.

Concept Introduction : The measure of how densely a material is packed together is called density. It is described as the mass per unit volume.

Answer to Problem 7STP

The density of the metal is $6.85\text{g/mL}$ .

Explanation of Solution

Given information:

The volume of water in the graduated cylinder is 44.2 ml.

The volume of water after adding metal is 51.3 ml.

The mass of the metal is 48.6 g.

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 volume of the water is obtained by subtracting the volume of water after adding metal by the volume of water in the graduated cylinder.

The volume of water is given as:

  $\begin{array}{c}\text{volume}\text{=}\text{51}\text{.3 ml}-\text{44}\text{.2}\text{ml}\\ \text{=}\text{7}\text{.1}\text{ml}\end{array}$

To calculate the density of the metal, substitute the values in the density formula.

  $\begin{array}{c}\text{Density =}\frac{\text{mass}}{\text{volume}}\\ =\frac{48.6\text{ g}}{\text{7}\text{.1}\text{mL}}\\ =6.85\text{g/mL}\end{array}$