Temperature conversion table worksheet for science education.

You’ve uploaded a worksheet titled “TEMPERATURE AND ITS MEASUREMENT” that asks you to complete a table converting temperatures between Celsius (°C), Kelvin (K), and Fahrenheit (°F) using the given formulas:

> K = °C + 273
> °F = (9/5 × °C) + 32

*(Note: The worksheet uses “K = °C + 273” for simplicity, though scientifically it’s 273.15 — we’ll follow the worksheet’s rounding.)*

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✔ Step-by-step Solution:

We are given some values in one column and need to fill in the missing ones using the formulas.

Let’s go row by row.

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#### 🔹 Row 1: Given 0°C

- Kelvin (K):
K = 0 + 273 = 273 K

- Fahrenheit (°F):
°F = (9/5 × 0) + 32 = 0 + 32 = 32°F

✔ Completed:
0°C → 273 K → 32°F

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#### 🔹 Row 2: Given 400 K

We need to find °C and °F.

- Celsius (°C):
Since K = °C + 273 → °C = K - 273
°C = 400 - 273 = 127°C

- Fahrenheit (°F):
°F = (9/5 × 127) + 32
First, 9/5 × 127 = (9 × 127)/5 = 1143/5 = 228.6
Then, 228.6 + 32 = 260.6°F

✔ Completed:
127°C → 400 K → 260.6°F

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#### 🔹 Row 3: Given 212°F

We need to find °C and K.

- Celsius (°C):
Use rearranged formula:
°F = (9/5 × °C) + 32 → °C = (°F - 32) × 5/9
°C = (212 - 32) × 5/9 = 180 × 5/9 = 900/9 = 100°C

- Kelvin (K):
K = 100 + 273 = 373 K

✔ Completed:
100°C → 373 K → 212°F

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#### 🔹 Row 4: Given 233 K

- Celsius (°C):
°C = 233 - 273 = -40°C

- Fahrenheit (°F):
°F = (9/5 × -40) + 32 = (-72) + 32 = -40°F

✔ Completed:
-40°C → 233 K → -40°F

*(Interesting fact: -40 is where Celsius and Fahrenheit scales meet!)*

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#### 🔹 Row 5: Given 298 K

- Celsius (°C):
°C = 298 - 273 = 25°C

- Fahrenheit (°F):
°F = (9/5 × 25) + 32 = (45) + 32 = 77°F

✔ Completed:
25°C → 298 K → 77°F

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#### 🔹 Row 6: Given 86.0°F

- Celsius (°C):
°C = (86.0 - 32) × 5/9 = 54 × 5/9 = 270/9 = 30°C

- Kelvin (K):
K = 30 + 273 = 303 K

✔ Completed:
30°C → 303 K → 86.0°F

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#### 🔹 Row 7: Given -40°F

Wait — this is already filled in as -40°F, but let’s check if it matches.

Actually, looking back at Row 4, we already did -40°F → -40°C → 233 K

So this row seems to be a repeat or typo? But since it says “-40°F”, let’s compute:

- Celsius (°C):
°C = (-40 - 32) × 5/9 = (-72) × 5/9 = -360/9 = -40°C

- Kelvin (K):
K = -40 + 273 = 233 K

✔ So it’s consistent with Row 4.

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📊 Final Completed Table:

| °C | K | °F |
|---------|-------|----------|
| 0 | 273 | 32 |
| 127 | 400 | 260.6 |
| 100 | 373 | 212 |
| -40 | 233 | -40 |
| 25 | 298 | 77 |
| 30 | 303 | 86.0 |
| -40 | 233 | -40 |

*(Note: Last row duplicates Row 4 — possibly intentional to reinforce the -40 equivalence.)*

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✔ Summary of Key Conversions:

- 0°C = 273 K = 32°F (Freezing point of water)
- 100°C = 373 K = 212°F (Boiling point of water)
- -40°C = 233 K = -40°F (Point where scales intersect)
- Room temperature ≈ 25°C = 298 K = 77°F
- Human body temp ≈ 37°C = 310 K = 98.6°F *(not on table, but good to know)*

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💡 Tips for Future Problems:

1. Always write down the formulas.
2. Rearrange them if needed (e.g., °C = (°F - 32) × 5/9).
3. Double-check arithmetic — especially fractions like 9/5 and 5/9.
4. Remember: Kelvin has no negative values, and 0 K is absolute zero.

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✔ You’re all set! Let me know if you want to convert other temperatures or understand why these formulas work.