Printable educational worksheet for converting temperature measurements between Celsius, Kelvin, and Fahrenheit scales.

Let's solve the temperature conversion chart step by step using the formulas provided:

Given Formulas:

- °C = K - 273
- K = °C + 273
- °F = (9/5)°C + 32
- °C = (5/9)(°F - 32)

We'll fill in each row of the table using these conversions.

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1. 0°C

- K: $ K = 0 + 273 = 273 \, \text{K} $
- °F: $ °F = \frac{9}{5}(0) + 32 = 32°F $

✔ Answer: 273 K, 32°F

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2. 212°F

- Convert to °C:
$ °C = \frac{5}{9}(212 - 32) = \frac{5}{9}(180) = 100°C $
- Then to K:
$ K = 100 + 273 = 373 \, \text{K} $

✔ Answer: 100°C, 373 K

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3. 450 K

- Convert to °C:
$ °C = 450 - 273 = 177°C $
- Then to °F:
$ °F = \frac{9}{5}(177) + 32 = 318.6 + 32 = 350.6°F $

✔ Answer: 177°C, 350.6°F

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4. 98.6°F

- Convert to °C:
$ °C = \frac{5}{9}(98.6 - 32) = \frac{5}{9}(66.6) = 37°C $
- Then to K:
$ K = 37 + 273 = 310 \, \text{K} $

✔ Answer: 37°C, 310 K

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5. -273°C

- Convert to K:
$ K = -273 + 273 = 0 \, \text{K} $
- Convert to °F:
$ °F = \frac{9}{5}(-273) + 32 = -491.4 + 32 = -459.4°F $

✔ Answer: 0 K, -459.4°F

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6. 294 K

- Convert to °C:
$ °C = 294 - 273 = 21°C $
- Then to °F:
$ °F = \frac{9}{5}(21) + 32 = 37.8 + 32 = 69.8°F $

✔ Answer: 21°C, 69.8°F

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7. 77°F

- Convert to °C:
$ °C = \frac{5}{9}(77 - 32) = \frac{5}{9}(45) = 25°C $
- Then to K:
$ K = 25 + 273 = 298 \, \text{K} $

✔ Answer: 25°C, 298 K

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8. 225 K

- Convert to °C:
$ °C = 225 - 273 = -48°C $
- Then to °F:
$ °F = \frac{9}{5}(-48) + 32 = -86.4 + 32 = -54.4°F $

✔ Answer: -48°C, -54.4°F

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9. -40°C

- Convert to K:
$ K = -40 + 273 = 233 \, \text{K} $
- Convert to °F:
$ °F = \frac{9}{5}(-40) + 32 = -72 + 32 = -40°F $

✔ Answer: 233 K, -40°F

> 📌 Note: This is a special case where -40°C = -40°F

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✔ Final Completed Table:

| | °C | K | °F |
|---|----|----|-----|
| 1. | 0°C | 273 K | 32°F |
| 2. | 100°C | 373 K | 212°F |
| 3. | 177°C | 450 K | 350.6°F |
| 4. | 37°C | 310 K | 98.6°F |
| 5. | -273°C | 0 K | -459.4°F |
| 6. | 21°C | 294 K | 69.8°F |
| 7. | 25°C | 298 K | 77°F |
| 8. | -48°C | 225 K | -54.4°F |
| 9. | -40°C | 233 K | -40°F |

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Summary of Key Concepts:

- Kelvin is the absolute scale; 0 K is absolute zero.
- Celsius is used in most scientific work.
- Fahrenheit is used mainly in the U.S.
- The formulas are essential for accurate conversions between scales.

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