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Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![### Conversion Guide for Measurements
Use the following conversion factors to convert units:
- **1 inch = 2.54 cm**
- **1 kg = 2.20462 lb**
- **1 mile = 1.61 km**
Using these conversion factors and the International System of Units (SI) prefix, convert the following measurements to the desired unit. Ensure to maintain the precision of each measurement.
#### Problems:
a. Convert 12.34 inches to centimeters:
- Given conversion factor: \(1 \text{ inch} = 2.54 \text{ cm}\)
- Calculation:
\[
12.34 \text{ inches} = 12.34 \times 2.54 = 31.3436 \text{ cm}
\]
b. Convert 12.34 pounds to kilograms:
- Given conversion factor: \(1 \text{ kg} = 2.20462 \text{ lb}\)
- Calculation:
\[
12.34 \text{ lb} = \frac{12.34}{2.20462} = 5.5973298\text{ kg}
\]
c. Convert 12.34 meters per second to kilometers per hour:
- Conversion factor for time: \(1 \text{ m/s} = 3.6 \text{ km/hr}\)
- Calculation:
\[
12.34 \text{ m/s} = 12.34 \times 3.6 = 44.424 \text{ km/hr}
\]
### Answers:
1. **Answer 1:**
\[
31.3436 \text{ cm}
\]
2. **Answer 2:**
\[
5.5973298 \text{ kg}
\]](https://content.bartleby.com/qna-images/question/9585ec53-8086-4d14-b689-ea07a7287396/77337107-0638-4cd9-ab5e-68e679cbfffe/jw1yavy7_thumbnail.png)
Transcribed Image Text:### Conversion Guide for Measurements
Use the following conversion factors to convert units:
- **1 inch = 2.54 cm**
- **1 kg = 2.20462 lb**
- **1 mile = 1.61 km**
Using these conversion factors and the International System of Units (SI) prefix, convert the following measurements to the desired unit. Ensure to maintain the precision of each measurement.
#### Problems:
a. Convert 12.34 inches to centimeters:
- Given conversion factor: \(1 \text{ inch} = 2.54 \text{ cm}\)
- Calculation:
\[
12.34 \text{ inches} = 12.34 \times 2.54 = 31.3436 \text{ cm}
\]
b. Convert 12.34 pounds to kilograms:
- Given conversion factor: \(1 \text{ kg} = 2.20462 \text{ lb}\)
- Calculation:
\[
12.34 \text{ lb} = \frac{12.34}{2.20462} = 5.5973298\text{ kg}
\]
c. Convert 12.34 meters per second to kilometers per hour:
- Conversion factor for time: \(1 \text{ m/s} = 3.6 \text{ km/hr}\)
- Calculation:
\[
12.34 \text{ m/s} = 12.34 \times 3.6 = 44.424 \text{ km/hr}
\]
### Answers:
1. **Answer 1:**
\[
31.3436 \text{ cm}
\]
2. **Answer 2:**
\[
5.5973298 \text{ kg}
\]
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