Chapter 2.2, Problem 18PP

Interpretation Introduction

(a)

Interpretation:

Conversion factor needed to convert nanometers to meters needs to be determined.

Concept introduction:

An arithmetical multiplier which can be used to convert a quantity in unit to the other unit is known as conversion factor.

Answer to Problem 18PP

Using the conversion factor, $\frac{{10}^{-9}m}{1nm}$, nanometer can be converted into meter.

Explanation of Solution

A nanometer is one millionth of a millimeter. The millimeter is a unit of length in the metric system, equal to one thousandth of a meter, the SI base unit of length.

Thus, to convert nanometers to meter, conversion factor required is: $\frac{{10}^{-9}m}{1nm}$

(b)

Interpretation Introduction

Interpretation:

Conversion factor needed to convert density given in $g/c{m}^3$ to a value in $kg/m^3$ needs to be determined.

Concept introduction:

An arithmetical multiplier which can be used to convert a quantity in unit to the other unit is known as conversion factor.

Answer to Problem 18PP

Using the conversion factor $\frac{1kg}{1000g}and\frac{{10}^{6}c{m}^3}{1m^3}$, density given in $g/c{m}^3$ can be converted into a value in $kg/m^3$ ,

Explanation of Solution

Density is the amount of mass per unit volume. Common unit of density for solids is grams per cubic centimeter $(g/c{m}^3)$ and for liquid and gases it is grams per milliliter (g/mL).

Thus, to convertdensity given in $g/c{m}^3$ to a value in $kg/m^3$, conversion factor required is: $\frac{1kg}{1000g}and\frac{{10}^{6}c{m}^3}{1m^3}$