# Temperature Conversion Formulas

We refer to the temperature conversion formulas when we have to change the value of temperature from one unit to another. Learn about the temperature conversion formulas as you scroll down. We measure temperature on scales like Kelvin, Celsius, and Fahrenheit, etc. According to the Kelvin scale, the freezing point and the boiling point of water are 273.15K and 373.15K respectively. According to the Fahrenheit scale, the freezing point and the boiling point of water are 32°F and 212°F respectively. According to the Celsius scale, the freezing point and the boiling point of water are 0°C and 100°C respectively. There can be three main conversions of temperature which are possible:

- Between Celsius and Kelvin.
- Between Fahrenheit and Kelvin.
- Between Celsius and Fahrenheit.

## What Are Temperature Conversion Formulas?

Temperature conversion formulas are defined as the conversion formulas for changing the value of temperature from one unit to another. They are various distinct temperature conversion methods. Kelvin, Celsius, and Fahrenheit are the most commonly used scales for temperature measurement.

### Temperature Conversion Formula

Temperature conversion formulas of a given temperature can be expressed as,

**Formula 1:** 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

**Formula 2:** 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

**Formula 3:** 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

Let us have a look at a few solved examples to understand the temperature conversion formulas better.

## Examples Using Temperature Conversion Formulas.

**Example 1: **Noah is aware that one degree Celsius is equal to 273.15 Kelvin. He now wants to calculate 30°C in Kelvin. Using temperature conversion formulas, convert 30°C to its Kelvin equivalent.

**Solution:**

To find: Convert 30°C in Kelvin.

Given,

One-degree Celsius is equal to 273.15 Kelvin.

Using temperature conversion formulas,

Kelvin (K) = Celsius(C) + 273.15

Putting the value:

K = 30 + 273.15 K = 303.15 K

= 303.15 K

**Answer: 30°C in Kelvin is 303.15 K**

**Example 2:** Isabella learned that the body temperature is generally 98.6ºF, but she wants to know what is the body temperature in Celsius? Can you help her?

**Solution: **

To find: The body temperature in Celsius.

Given,

The body temperature on the Celcius scale is 98.6ºF.

Using temperature conversion formulas,

C = (F − 32) × 5/9

On putting the value, we get

C = (98.6 − 32) × 5/9

= 37°C

**Answer: The body temperature in Celsius is** **37°C.**

**Example 3: **Convert 220 K to Fahrenheit as well as Celsius.

**Solution:**

Using Kelvin to Celsius conversion formula

C = K – 273.15

= 220 – 273.15

= -53.15°C

Using Kelvin to Fahrenheit conversion formula

F = (K – 273.15) × 9/5 + 32

= (220 – 273.15) × 9/5 + 32

= -53.15 × 9/5 + 32 = -95.67 + 32 = -63.67°F

**Answer: 220K in Celsius is -53.15°C and Fahrenheit is -63.67°F.**

## FAQs on Temperature Conversion Formulas

### What Is Temperature Conversion Formula?

Temperature conversion formulas are the conversion formulas that help in calculating the conversion change in the value of temperature from one unit to another. The most commonly used scales for temperature measurement include Kelvin, Celsius, and Fahrenheit.

### What Is Celsius to Kelvin Temperature Formula?

The Celsius to Kelvin formula is the temperature conversion formula to convert temperature value from Celsius to Kelvin using the formula, K = C + 273.15

### How Are the Variables In the Temperature Conversion Formula Related?

The variables in the temperature formulas are related with some constant values or conversion facts as given below.

- Temperature Conversion: Celsius and Kelvin

K = C + 273.15 and C = K − 273.15

- Temperature Conversion: Fahrenheit and Celsius

C = (F − 32) × 5/9 and F = C(9/5) + 32

- Temperature Conversion: Fahrenheit and Kelvin

K = (F − 32) × 5/9 + 273.15 and F = (K – 273.15) × 9/5 + 32

### How To Use Temperature Conversion Formulas?

To use temperature conversion formulas

- Step 1: Check for the unit of the given temperature values.
- Step 2: Identify the unit to convert the given temperature to.
- Step 3: Apply the appropriate formula: K = C + 273.15 and C = K − 273.15, C = (F − 32) × 5/9 and F = C(9/5) + 32, K = (F − 32) × 5/9 + 273.15 and F = (K – 273.15) × 9/5 + 32