Chapter U1, Problem C1.6RE

Interpretation Introduction

Interpretation:

The mass of the silver crown needs to be determined for which density and volume are given.

Concept introduction:

Density of a substance is defined as ratio of mass to volume. It is calculated as follows:

$d=\frac{m}{V}$

Here, m is mass and V is volume.

Answer to Problem C1.6RE

Mass of the silver crown is 2500.05 g.

Explanation of Solution

The silver crown has displaced 238.1 cm³ water which means it has volume same as the volume of displaced water.

So, volume of silver is 238.1 cm³.

Density of silver is given as 10.5 g/ cm³.

So, mass of silver can be calculated as follows:

$\begin{array}{l}\text{mass}=\text{volume}\times \text{density}\\ \text{=}\left(238.1{\text{ cm}}^{\text{3}}\right)\left(10.5{\text{ g/ cm}}^{\text{3}}\right)=2500.0\text{5 g}\end{array}$

Conclusion

Thus, the mass of the silver crown is 2500.05 g.