Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![### 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9ae2b74-0627-461f-a855-f05238f3c436%2Ff95533b5-836c-48da-bb43-fca0cdb5f5cb%2F6g7l4j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### 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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