Chapter 1, Problem 1.70P

Interpretation Introduction

Interpretation:Whether crown is made up of pure gold or not should be determined.

Concept introduction:Conversion factor is ratio that is widely used to describe relation between two different units. In order to convert one unit into another, original unit is multiplied with proper conversion factor to yield new unit. This is done as mentioned below.

  $\text{Final unit}=\left(\cancel{\text{Original unit}}\right)\left(\frac{\text{Final unit}}{\cancel{\text{Original unit}}}\right)$

Density is defined as mass per unit volume. It is denoted by $d$ . The expression to calculate density is as follows:

  $d=\frac{M}{V}$

Where,

• $d$is the density.
• $M$is mass.
• $V$is volume.