To solve the problems related to converting temperatures between Celsius (°C) and Kelvin (K), we need to use the following formulas:
1.
From Celsius to Kelvin:
\[
K = °C + 273.15
\]
2.
From Kelvin to Celsius:
\[
°C = K - 273.15
\]
Let's solve each problem step by step.
---
Problem 1: Convert -21°C to K
Using the formula \( K = °C + 273.15 \):
\[
K = -21 + 273.15 = 252.15
\]
Answer: \( 252.15 \, \text{K} \)
---
Problem 2: Convert 166°C to K
Using the formula \( K = °C + 273.15 \):
\[
K = 166 + 273.15 = 439.15
\]
Answer: \( 439.15 \, \text{K} \)
---
Problem 3: Convert 150°C to K
Using the formula \( K = °C + 273.15 \):
\[
K = 150 + 273.15 = 423.15
\]
Answer: \( 423.15 \, \text{K} \)
---
Problem 4: Convert -44°C to K
Using the formula \( K = °C + 273.15 \):
\[
K = -44 + 273.15 = 229.15
\]
Answer: \( 229.15 \, \text{K} \)
---
Problem 5: Convert 290 K to °C
Using the formula \( °C = K - 273.15 \):
\[
°C = 290 - 273.15 = 16.85
\]
Answer: \( 16.85 \, \text{°C} \)
---
Problem 6: Convert 300°C to K
Using the formula \( K = °C + 273.15 \):
\[
K = 300 + 273.15 = 573.15
\]
Answer: \( 573.15 \, \text{K} \)
---
Problem 7: Convert 267 K to °C
Using the formula \( °C = K - 273.15 \):
\[
°C = 267 - 273.15 = -6.15
\]
Answer: \( -6.15 \, \text{°C} \)
---
Problem 8: Convert 350 K to °C
Using the formula \( °C = K - 273.15 \):
\[
°C = 350 - 273.15 = 76.85
\]
Answer: \( 76.85 \, \text{°C} \)
---
Problem 9: Convert 400 K to °C
Using the formula \( °C = K - 273.15 \):
\[
°C = 400 - 273.15 = 126.85
\]
Answer: \( 126.85 \, \text{°C} \)
---
Problem 10: Convert 285°C to K
Using the formula \( K = °C + 273.15 \):
\[
K = 285 + 273.15 = 558.15
\]
Answer: \( 558.15 \, \text{K} \)
---
Problem 11: Convert 773 K to °C
Using the formula \( °C = K - 273.15 \):
\[
°C = 773 - 273.15 = 499.85
\]
Answer: \( 499.85 \, \text{°C} \)
---
Problem 12: Convert 37°C to K
Using the formula \( K = °C + 273.15 \):
\[
K = 37 + 273.15 = 310.15
\]
Answer: \( 310.15 \, \text{K} \)
---
Final Answers
1. \( 252.15 \, \text{K} \)
2. \( 439.15 \, \text{K} \)
3. \( 423.15 \, \text{K} \)
4. \( 229.15 \, \text{K} \)
5. \( 16.85 \, \text{°C} \)
6. \( 573.15 \, \text{K} \)
7. \( -6.15 \, \text{°C} \)
8. \( 76.85 \, \text{°C} \)
9. \( 126.85 \, \text{°C} \)
10. \( 558.15 \, \text{K} \)
11. \( 499.85 \, \text{°C} \)
12. \( 310.15 \, \text{K} \)
\boxed{
\begin{aligned}
1. & \, 252.15 \, \text{K} \\
2. & \, 439.15 \, \text{K} \\
3. & \, 423.15 \, \text{K} \\
4. & \, 229.15 \, \text{K} \\
5. & \, 16.85 \, \text{°C} \\
6. & \, 573.15 \, \text{K} \\
7. & \, -6.15 \, \text{°C} \\
8. & \, 76.85 \, \text{°C} \\
9. & \, 126.85 \, \text{°C} \\
10. & \, 558.15 \, \text{K} \\
11. & \, 499.85 \, \text{°C} \\
12. & \, 310.15 \, \text{K}
\end{aligned}
}
Parent Tip: Review the logic above to help your child master the concept of temperature conversion worksheet pdf.