Q. 2.46 - 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 inches

(b) kilometers and miles

(c) pounds and grams

(d) quarts and liters

Step-by-Step Solution

Answer

The equality and conversion factors are:

(a) $1 inch = 2.54 cm$

(b) $1 mile= 1.6 km$

(c) $1 pound = 453.59 gram$

(d)  $1.06 qt = 1 L$

Part(a) Step 1: Given Information

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

Part(a) Step 2: Explanation

Equality	Conversion Factors
$1 inch = 2.54 cm$	$$\begin{gathered} \frac{1 inch}{2.54 cm} \\ \frac{2.54 cm}{1 inch} \end{gathered}$$

Part(b) Step 1: Given Information

We need to find the equality and two conversion factors for kilometers and miles 

Part(b) Step 2: Explanation

Equality	Conversion Factor
$1 mile = 1.6 kilometer$	$$\begin{gathered} \frac{1 mile}{1.6 km} \\ \frac{1.6 km}{1 mile} \end{gathered}$$

Part(c) Step 1: Given Information

We need to find the equality and two conversion factors for 

pounds and grams.

Part(c) Step 2: Explanation

Equality	Conversion Factor
$1 pound = 453.59 gram$	$$\begin{gathered} \frac{1 pound}{453.59 gram} \\ \frac{453.59 gram}{1 pound} \end{gathered}$$

Part(d) Step 1: Given Information

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

Part(d) Step 2: Explanation

Equality	Conversion Factor
$1.06 qt = 1 L$	$$\begin{gathered} \frac{1.06 qt}{1 L} \\ \frac{1 L}{1.06 qt} \end{gathered}$$