### Unit Conversion Example: Converting Mass from Grams to Pounds#### Problem Statement:A nickel is found to have a mass of **4.87 grams**. Using unit analysis, show what the mass of this nickel is in pounds.#### Given Conversion Factors:Use one of the following to set up the conversion factor.- 454 grams = 1 pound = 16 ounces- 1 meter = 39.4 inches = 3.28 feet- 2.54 centimeters = 1 inch- 1 kilometer = 0.621 miles- 1 liter = 1.06 quarts- 3.79 liters = 1 gallon#### Conversion Calculation:To convert from grams to pounds, you will use the conversion factor that 454 grams are equivalent to 1 pound.The equation is set up as:\[ 4.87 \text{ grams} \times \left( \frac{1 \text{ lb}}{454 \text{ g}} \right) = \text{mass in pounds} \]#### Visual Representation:There is a diagram that sets up the conversion in a fraction format for clarity:\[ \frac{1 \text{ lb}}{454 \text{ grams}} \]The setup is:\[ 4.87 \text{ grams} \times \frac{1 \text{ lb}}{454 \text{ grams}} = \text{mass in pounds} \]This multiplication will allow the grams units to cancel out, leaving the mass in pounds.When calculated:\[ 4.87 \text{ grams} \times \frac{1 \text{ lb}}{454 \text{ grams}} \approx 0.0107 \text{ pounds} \]Thus, the mass of the nickel is approximately **0.0107 pounds**.### Explanation of Diagram:The diagram shows two fractions multiplied together. The first fraction shows the mass of the nickel (4.87 grams) and the second fraction represents the conversion factor (1 lb / 454 g). When multiplied, it demonstrates the process of converting grams to pounds by canceling out the units of grams, resulting in the mass in pounds.

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A nickel is found to have a mass of 4.87 grams. Using unit analysis, show what the mass of this nickel is in pounds.

Chemistry & Chemical Reactivity

10th Edition

ISBN:9781337399074

Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel

Chapter1: Basic Concepts Of Chemistry

Section: Chapter Questions

Problem 62RGQ: You set out to determine the density of lead in the laboratory. Using a top loading balance to...

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Question

### Unit Conversion Example: Converting Mass from Grams to Pounds

#### Problem Statement:
A nickel is found to have a mass of **4.87 grams**. Using unit analysis, show what the mass of this nickel is in pounds.

#### Given Conversion Factors:
Use one of the following to set up the conversion factor.
- 454 grams = 1 pound = 16 ounces
- 1 meter = 39.4 inches = 3.28 feet
- 2.54 centimeters = 1 inch
- 1 kilometer = 0.621 miles
- 1 liter = 1.06 quarts
- 3.79 liters = 1 gallon

#### Conversion Calculation:
To convert from grams to pounds, you will use the conversion factor that 454 grams are equivalent to 1 pound.

The equation is set up as:
\[ 4.87 \text{ grams} \times \left( \frac{1 \text{ lb}}{454 \text{ g}} \right) = \text{mass in pounds} \]

#### Visual Representation:
There is a diagram that sets up the conversion in a fraction format for clarity:

\[ \frac{1 \text{ lb}}{454 \text{ grams}} \]

The setup is:
\[ 4.87 \text{ grams} \times \frac{1 \text{ lb}}{454 \text{ grams}} = \text{mass in pounds} \]

This multiplication will allow the grams units to cancel out, leaving the mass in pounds.

When calculated:
\[ 4.87 \text{ grams} \times \frac{1 \text{ lb}}{454 \text{ grams}} \approx 0.0107 \text{ pounds} \]

Thus, the mass of the nickel is approximately **0.0107 pounds**.

### Explanation of Diagram:
The diagram shows two fractions multiplied together. The first fraction shows the mass of the nickel (4.87 grams) and the second fraction represents the conversion factor (1 lb / 454 g). When multiplied, it demonstrates the process of converting grams to pounds by canceling out the units of grams, resulting in the mass in pounds.

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