Q. 2.45 - An Introduction to General, Organic, and Biological Chemistry

Question

Write the equality and two conversion factors for each of the following pairs of units:

a. centimeters and meters

b. nanograms and grams

c. liters and kiloliters

d. seconds and milliseconds

Step-by-Step Solution

Answer

The equality and conversion factors are:

(a)  $1 meter = 100 centimeter$

(b)  $1 gram = {10}^9 nanogram$

(c)  $1 kiloliter = 1000 liters$

(d)  $1 second = 1000 milliseconds$

Part(a) Step 1: Given Information

We need to find the equality and two conversion factors for centimeters and meters 

Part(a) Step 2: Explanation

Equality	Conversion Factor
$1 m = 100 cm$	$$\begin{gathered} \frac{1 meter}{100 centimeter} \\ \frac{100 centimeter}{1 meter} \end{gathered}$$

Part(b) Step 1: Given Information

We need to find the equality and two conversion factors for nanograms and grams 

Part(b) Step 2: Explanation

Equality	Conversion Factor
$1 gram = {10}^9 nanogram$	$$\begin{gathered} \frac{1 gram}{{10}^9 nanogram} \\ \frac{{10}^9 nanogram}{1 gram} \end{gathered}$$

Part(c) Step 1: Given Information

We need to find the equality and two conversion factors for  liters and kiloliters  

Part(c) Step 2: Explanation

Equality	Conversion Factor
$1 kiloliters = 1000 liters$	$$\begin{gathered} \frac{1 kiloliter}{1000 liter} \\ \frac{1000 liter}{1 kiloliter} \end{gathered}$$

Part(d) Step 1: Given Information

We need to find the equality and two conversion factors for seconds and milliseconds 

Part(d) Step 2: Explanation

Equality	Conversions
$1 second = 1000 milliseconds$	$$\begin{gathered} \frac{1000 millisecond}{1 second} \\ \frac{1 second }{1000 millisecond } \end{gathered}$$