Question

date 23/10/25
period 4
celsius to kelvin
k = °c + 273
k = °c + 273
kelvin to celsius
°c = k - 273
°c = k - 273
fahrenheit to celsius
°c = (°f - 32) * 5/9
°c = (°f - 32) * 5/9

convert the following temperatures to | k | c | ↓ show your work here ↓
0.5 k
100 k
207 k
521 k
-273 °c
-150 °c
-10 °c
0 °c
0.5 °c
100 °c
207 °c
521 °c
-40 °f
0 °f
32 °f
75 °f
100 °f
115 °f

Explanation:

Let's solve a few of these temperature conversion problems step by step. We'll use the given formulas:

• Celsius to Kelvin: \( K = ^\circ\text{C} + 273 \)
• Kelvin to Celsius: \( ^\circ\text{C} = K - 273 \)
• Fahrenheit to Celsius: \( ^\circ\text{C} = (^\circ\text{F} - 32) \times \frac{5}{9} \)

Example 1: Convert \( 0.5 \, \text{K} \) to \( ^\circ\text{C} \)

Step 1: Apply Kelvin to Celsius formula

Use \( ^\circ\text{C} = K - 273 \). Substitute \( K = 0.5 \):
\( ^\circ\text{C} = 0.5 - 273 = -272.5 \)

Example 2: Convert \( 100 \, \text{K} \) to \( ^\circ\text{C} \)

Step 1: Apply Kelvin to Celsius formula

Substitute \( K = 100 \) into \( ^\circ\text{C} = K - 273 \):
\( ^\circ\text{C} = 100 - 273 = -173 \)

Example 3: Convert \( -273 \, ^\circ\text{C} \) to \( \text{K} \)

Step 1: Apply Celsius to Kelvin formula

Substitute \( ^\circ\text{C} = -273 \) into \( K = ^\circ\text{C} + 273 \):
\( K = -273 + 273 = 0 \)

Example 4: Convert \( -40 \, ^\circ\text{F} \) to \( ^\circ\text{C} \)

Step 1: Apply Fahrenheit to Celsius formula

Substitute \( ^\circ\text{F} = -40 \) into \( ^\circ\text{C} = (^\circ\text{F} - 32) \times \frac{5}{9} \):
\( ^\circ\text{C} = (-40 - 32) \times \frac{5}{9} = (-72) \times \frac{5}{9} = -40 \)

Example 5: Convert \( 32 \, ^\circ\text{F} \) to \( ^\circ\text{C} \)

Step 1: Apply Fahrenheit to Celsius formula

Substitute \( ^\circ\text{F} = 32 \) into \( ^\circ\text{C} = (^\circ\text{F} - 32) \times \frac{5}{9} \):
\( ^\circ\text{C} = (32 - 32) \times \frac{5}{9} = 0 \times \frac{5}{9} = 0 \)

Example 6: Convert \( 100 \, ^\circ\text{C} \) to \( \text{K} \)

Step 1: Apply Celsius to Kelvin formula

Substitute \( ^\circ\text{C} = 100 \) into \( K = ^\circ\text{C} + 273 \):
\( K = 100 + 273 = 373 \)

You can follow these steps for all other temperature conversions in the table. For example:

• \( 207 \, \text{K} \) to \( ^\circ\text{C} \): \( 207 - 273 = -66 \, ^\circ\text{C} \)
• \( -150 \, ^\circ\text{C} \) to \( \text{K} \): \( -150 + 273 = 123 \, \text{K} \)
• \( 75 \, ^\circ\text{F} \) to \( ^\circ\text{C} \): \( (75 - 32) \times \frac{5}{9} = 43 \times \frac{5}{9} \approx 23.89 \, ^\circ\text{C} \)

If you need help with a specific row, let me know!

Answer:

Let's solve a few of these temperature conversion problems step by step. We'll use the given formulas:

• Celsius to Kelvin: \( K = ^\circ\text{C} + 273 \)
• Kelvin to Celsius: \( ^\circ\text{C} = K - 273 \)
• Fahrenheit to Celsius: \( ^\circ\text{C} = (^\circ\text{F} - 32) \times \frac{5}{9} \)

Example 1: Convert \( 0.5 \, \text{K} \) to \( ^\circ\text{C} \)

Step 1: Apply Kelvin to Celsius formula

Use \( ^\circ\text{C} = K - 273 \). Substitute \( K = 0.5 \):
\( ^\circ\text{C} = 0.5 - 273 = -272.5 \)

Example 2: Convert \( 100 \, \text{K} \) to \( ^\circ\text{C} \)

Step 1: Apply Kelvin to Celsius formula

Substitute \( K = 100 \) into \( ^\circ\text{C} = K - 273 \):
\( ^\circ\text{C} = 100 - 273 = -173 \)

Example 3: Convert \( -273 \, ^\circ\text{C} \) to \( \text{K} \)

Step 1: Apply Celsius to Kelvin formula

Substitute \( ^\circ\text{C} = -273 \) into \( K = ^\circ\text{C} + 273 \):
\( K = -273 + 273 = 0 \)

Example 4: Convert \( -40 \, ^\circ\text{F} \) to \( ^\circ\text{C} \)

Step 1: Apply Fahrenheit to Celsius formula

Substitute \( ^\circ\text{F} = -40 \) into \( ^\circ\text{C} = (^\circ\text{F} - 32) \times \frac{5}{9} \):
\( ^\circ\text{C} = (-40 - 32) \times \frac{5}{9} = (-72) \times \frac{5}{9} = -40 \)

Example 5: Convert \( 32 \, ^\circ\text{F} \) to \( ^\circ\text{C} \)

Step 1: Apply Fahrenheit to Celsius formula

Substitute \( ^\circ\text{F} = 32 \) into \( ^\circ\text{C} = (^\circ\text{F} - 32) \times \frac{5}{9} \):
\( ^\circ\text{C} = (32 - 32) \times \frac{5}{9} = 0 \times \frac{5}{9} = 0 \)

Example 6: Convert \( 100 \, ^\circ\text{C} \) to \( \text{K} \)

Step 1: Apply Celsius to Kelvin formula

Substitute \( ^\circ\text{C} = 100 \) into \( K = ^\circ\text{C} + 273 \):
\( K = 100 + 273 = 373 \)

You can follow these steps for all other temperature conversions in the table. For example:

• \( 207 \, \text{K} \) to \( ^\circ\text{C} \): \( 207 - 273 = -66 \, ^\circ\text{C} \)
• \( -150 \, ^\circ\text{C} \) to \( \text{K} \): \( -150 + 273 = 123 \, \text{K} \)
• \( 75 \, ^\circ\text{F} \) to \( ^\circ\text{C} \): \( (75 - 32) \times \frac{5}{9} = 43 \times \frac{5}{9} \approx 23.89 \, ^\circ\text{C} \)

If you need help with a specific row, let me know!