Chapter 1, Problem 87AP

Interpretation Introduction

Interpretation:

The crucible given to a student is made of pure platinum, is to be proved based on measurements and given density of platinum.

Concept introduction:

Dimensional analysis is used to set up and solve a unit conversion problem using conversion factors.

The conversion factor is a fraction obtained from a relationship between the units. It is written as a ratio and can be inverted to give two conversion factors for every relationship.

The appropriate conversion factor for any equality is selected in such a way so that it results in the proper unit cancellation.

One milliliter is equivalent to one cubic centimeter. Conversion factor is as:

$\frac{1\text{ mL}}{1{\text{ cm}}^3}$

The relationship between density and volume of a substance can be expressed as:

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

Here, $\rho$ is the density of the substance, $m$ is the mass of substance, and $v$ is the volume.