Chapter 1, Problem 1.62P

a)

Interpretation Introduction

Interpretation:Mass of liquid in standard $\text{12-oz}$ bottle of diet cola is to 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.

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

b)

Interpretation Introduction

Interpretation:Mass of dime is to be determined.

Concept introduction: 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.