Chapter 3, Problem 107A

Interpretation Introduction

Interpretation : The measured volume 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 107A

The measured volume increase if the nugget is completely covered by water is $1.79\text{mL}$ .

Explanation of Solution

Given information:

The mass of gold nugget is $\text{34}\text{.5}\text{g}$ .

Water has a density of $1\text{g/mL}$ .

Gold has a density of $19.3{\text{g/cm}}^3$ .

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

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

To calculate the volume, rearrange the above formula according to volume and substitute the values.

  $\begin{array}{c}\text{Volume =}\frac{\text{mass}}{\text{density}}\\ =\frac{\text{34}\text{.5}\cancel{\text{g}}}{19.3\cancel{\text{g}}}\times \cancel{{\text{cm}}^3}\times \frac{1\text{mL}}{1\cancel{{\text{cm}}^3}}\\ =1.79\text{mL}\end{array}$

The volume is $1.79\text{mL}$ .