Problem Overview:
The image provides an introduction to three temperature scales: Fahrenheit, Celsius, and Kelvin. It explains the importance of understanding these scales and converting between them. The table in the image shows key reference points for each scale:
| Set Points | Fahrenheit | Celsius | Kelvin |
|------------------|------------|---------|--------|
| Water boils | 212 | 100 | 373 |
| Body temperature | 98.6 | 37 | 310 |
| Water freezes | 32 | 0 | 273 |
| Absolute zero | -460 | -273 | 0 |
The task likely involves using this information to convert temperatures from one scale to another.
---
Temperature Conversion Formulas:
To solve problems involving temperature conversion, we use the following formulas:
1.
Celsius to Fahrenheit:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
2.
Fahrenheit to Celsius:
\[
C = \left( F - 32 \right) \times \frac{5}{9}
\]
3.
Celsius to Kelvin:
\[
K = C + 273.15
\]
4.
Kelvin to Celsius:
\[
C = K - 273.15
\]
5.
Fahrenheit to Kelvin:
\[
K = \left( F + 459.67 \right) \times \frac{5}{9}
\]
6.
Kelvin to Fahrenheit:
\[
F = \left( K \times \frac{9}{5} \right) - 459.67
\]
---
Example Problem:
Suppose the problem asks you to convert the boiling point of water (100°C) to Fahrenheit and Kelvin.
#### Step 1: Convert Celsius to Fahrenheit
Using the formula:
\[
F = \left( C \times \frac{9}{5} \right) + 32
\]
Substitute \( C = 100 \):
\[
F = \left( 100 \times \frac{9}{5} \right) + 32 = (100 \times 1.8) + 32 = 180 + 32 = 212
\]
So, the boiling point of water in Fahrenheit is \( 212^\circ F \).
#### Step 2: Convert Celsius to Kelvin
Using the formula:
\[
K = C + 273.15
\]
Substitute \( C = 100 \):
\[
K = 100 + 273.15 = 373.15
\]
So, the boiling point of water in Kelvin is \( 373.15 \, K \).
---
Final Answer:
The boiling point of water is:
- \( 212^\circ F \)
- \( 373.15 \, K \)
\[
\boxed{212 \text{ and } 373.15}
\]
---
General Solution Approach:
1. Identify the given temperature and the scale it is in.
2. Determine the target scale you need to convert to.
3. Use the appropriate conversion formula.
4. Perform the calculation step-by-step.
5. Verify the result using the reference points in the table if possible.
This method can be applied to any temperature conversion problem. If you have a specific problem from the worksheet, feel free to provide it, and I can solve it step-by-step!
Parent Tip: Review the logic above to help your child master the concept of temperature conversion worksheet with answers.
