Problem Overview:
The image provides an introduction to three temperature scales: Fahrenheit, Celsius, and Kelvin. It also includes a table comparing these scales for specific set points (e.g., water boiling, body temperature, water freezing, absolute zero). The goal is to understand how to convert temperatures between these scales using the provided formulas.
Key Formulas for Temperature Conversion:
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:
\[
C = K - 273.15
\]
Solution Explanation:
Let’s solve a few example problems to demonstrate how to use these formulas.
#### Example 1: Convert 25°C to Fahrenheit.
Using the formula \( F = \left( C \times \frac{9}{5} \right) + 32 \):
\[
F = \left( 25 \times \frac{9}{5} \right) + 32
\]
\[
F = (25 \times 1.8) + 32
\]
\[
F = 45 + 32
\]
\[
F = 77
\]
So, \( 25^\circ \text{C} = 77^\circ \text{F} \).
#### Example 2: Convert 68°F to Celsius.
Using the formula \( C = \left( F - 32 \right) \times \frac{5}{9} \):
\[
C = \left( 68 - 32 \right) \times \frac{5}{9}
\]
\[
C = 36 \times \frac{5}{9}
\]
\[
C = 36 \times 0.5556
\]
\[
C \approx 20
\]
So, \( 68^\circ \text{F} \approx 20^\circ \text{C} \).
#### Example 3: Convert 300 K to Celsius.
Using the formula \( C = K - 273.15 \):
\[
C = 300 - 273.15
\]
\[
C = 26.85
\]
So, \( 300 \text{ K} \approx 26.85^\circ \text{C} \).
#### Example 4: Convert 0°C to Kelvin.
Using the formula \( K = C + 273.15 \):
\[
K = 0 + 273.15
\]
\[
K = 273.15
\]
So, \( 0^\circ \text{C} = 273.15 \text{ K} \).
Final Answer:
The formulas provided in the worksheet allow you to convert temperatures between Fahrenheit, Celsius, and Kelvin. Using these formulas, you can solve any temperature conversion problem. For example:
- \( 25^\circ \text{C} = 77^\circ \text{F} \)
- \( 68^\circ \text{F} \approx 20^\circ \text{C} \)
- \( 300 \text{ K} \approx 26.85^\circ \text{C} \)
- \( 0^\circ \text{C} = 273.15 \text{ K} \)
\boxed{\text{Use the provided formulas to convert temperatures between scales.}}
Parent Tip: Review the logic above to help your child master the concept of temperature conversion worksheet answer.
