[Report answer to correct number of significant figures] Convert 25.9 lb/in to g/cm [1kg = 2.205 lb; 1 in = 2.54 cm] 0.2248 g/cm 22.5 g/cm 4620 g/cm 4624 g/cm
[Report answer to correct number of significant figures] Convert 25.9 lb/in to g/cm [1kg = 2.205 lb; 1 in = 2.54 cm] 0.2248 g/cm 22.5 g/cm 4620 g/cm 4624 g/cm
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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Chemical Reactions and Equations
When a chemical species is transformed into another chemical species it is said to have undergone a chemical reaction. It consists of breaking existing bonds and forming new bonds by changing the position of electrons. These reactions are best explained using a chemical equation.
Question
![## Problem: Conversion and Significant Figures
**Objective:** Convert 25.9 lb/in to g/cm and report the answer to the correct number of significant figures.
### Given Conversion Factors:
- 1 kg = 2.205 lb
- 1 in = 2.54 cm
### Options:
1. 0.2248 g/cm
2. 22.5 g/cm
3. 4620 g/cm
4. 4624 g/cm
### Explanation
To solve this problem, we need to use the given conversion factors to convert pounds per inch (lb/in) to grams per centimeter (g/cm).
**Step-by-Step Conversion:**
1. **Convert pounds to kilograms:**
\[
25.9 \, \text{lb} \times \left(\frac{1 \, \text{kg}}{2.205 \, \text{lb}}\right) = 11.745 \, \text{kg}
\]
2. **Convert inches to centimeters:**
\[
1 \, \text{in} = 2.54 \, \text{cm}
\]
Since we have 1 inch in the denominator, we need to convert it similarly.
\[
1 \, \text{in} = 2.54 \, \text{cm}
\]
3. **Convert kilograms to grams:**
\[
11.745 \, \text{kg} \times 1000 \, \text{g/kg} = 11745 \, \text{g}
\]
4. **Combine the conversions:**
To find gram per centimeter (g/cm), we divide the number of grams by the number of centimeters.
\[
\frac{11745 \, \text{g}}{2.54 \, \text{cm}} \approx 4624 \, \text{g/cm}
\]
### Conclusion
The correct answer, with the correct number of significant figures, is:
- \(4624 \, \text{g/cm}\)
Thus, the correct option is **4624 g/cm**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e1f2a85-1db3-48f4-acfb-e624a8f47344%2Fcb9a66a8-bc5d-4979-bd2d-3b4eec122479%2Fkyjbqq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Problem: Conversion and Significant Figures
**Objective:** Convert 25.9 lb/in to g/cm and report the answer to the correct number of significant figures.
### Given Conversion Factors:
- 1 kg = 2.205 lb
- 1 in = 2.54 cm
### Options:
1. 0.2248 g/cm
2. 22.5 g/cm
3. 4620 g/cm
4. 4624 g/cm
### Explanation
To solve this problem, we need to use the given conversion factors to convert pounds per inch (lb/in) to grams per centimeter (g/cm).
**Step-by-Step Conversion:**
1. **Convert pounds to kilograms:**
\[
25.9 \, \text{lb} \times \left(\frac{1 \, \text{kg}}{2.205 \, \text{lb}}\right) = 11.745 \, \text{kg}
\]
2. **Convert inches to centimeters:**
\[
1 \, \text{in} = 2.54 \, \text{cm}
\]
Since we have 1 inch in the denominator, we need to convert it similarly.
\[
1 \, \text{in} = 2.54 \, \text{cm}
\]
3. **Convert kilograms to grams:**
\[
11.745 \, \text{kg} \times 1000 \, \text{g/kg} = 11745 \, \text{g}
\]
4. **Combine the conversions:**
To find gram per centimeter (g/cm), we divide the number of grams by the number of centimeters.
\[
\frac{11745 \, \text{g}}{2.54 \, \text{cm}} \approx 4624 \, \text{g/cm}
\]
### Conclusion
The correct answer, with the correct number of significant figures, is:
- \(4624 \, \text{g/cm}\)
Thus, the correct option is **4624 g/cm**.
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