Chemistry
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:**
   
   \[
   5.5973298 \text{ kg}
   \]
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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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