 # Temperature Conversion Formula

Temperature conversion formulas refer to changing the value of temperature from one unit to another. They are many temperature conversion methods. Among them Kelvin, Celsius and Fahrenheit are the most commonly used methods. According to the Kelvin scale, the freezing point of water is 273.15K and the boiling point is 373.15K. According to Fahrenheit scale, the freezing point of water is 32°F and the boiling point is 212°F. According to the Celsius scale, the freezing point of water is 0°C and the boiling point is 100°C.

## Temperature Conversion Formulas

There can be three main conversions of temperature which are:

• Conversion Between Celsius and Kelvin
• Conversion Between Fahrenheit and Kelvin
• Conversion Between Celsius and Fahrenheit

### Conversion of Temperature Between Celsius and Kelvin

• The temperature conversion formula from Celsius to Kelvin is:
 K = C + 273.15
• The temperature conversion formula from Kelvin to Celcius is:
 C = K − 273.15

### Conversion of Temperature Between Fahrenheit and Celsius

• The temperature conversion formula from Fahrenheit to Celsius is:
 C = (F − 32) × 5⁄9
• The Temperature Conversion Formula from Celsius to Fahrenheit is:
 F = C(9⁄5) + 32

### Conversion of Temperature Between Fahrenheit and Kelvin

• The Temperature Conversion Formula from Fahrenheit to Kelvin is:
 K = (F − 32) × 5⁄9 + 273.15
• The Temperature Conversion Formula from Kelvin to Fahrenheit is:
 F = (K – 273.15) × 9⁄5 + 32

### Temperature Conversion Formula Table

Unit To Celsius To Fahrenheit To Kelvin
Celsius (C) C (°) C(9⁄5) + 32 C + 273.15
Fahrenheit (F − 32) × 5⁄9 F (F − 32) × 5⁄9 + 273.15
Kelvin K – 273.15 (K – 273.15) * 9/5 + 32 K

### Solved Example Question

Question: What is 30°C in Kelvin?

Solution:

The temperature conversion formula from Celsius to Kelvin is, K = C + 273.15

K = 30 + 273.15 K = 303.15

Question 2: Convert 50°C to °F.
Solution:
Celsius to Fahrenheit conversion formula is given by:
°F = °C(9⁄5) + 32
= 50 (9/5) + 32
= 90 + 32

= 122
Therefore, 50°C = 122°F

Question 3: Convert 113°F to Kelvin.

Solution:
Fahrenheit to Kelvin conversion formula is given by:
K = (F − 32) × 5⁄9 + 273.15
= (113 – 32) × (5/9) + 273.15
= 81 × (5/9) + 273.15
= 45 + 273.15
= 318.15
Therefore, 113°F = 318.15 K

Question 4: Convert 225 K to Celsius.

Solution:
Kelvin to Celsius conversion formula is given by:
C = K – 273.15
= 225 – 273.15
= -48.15
Therefore, 225 K = -48.15°C