Kelvin to Fahrenheit – Formula, Conversion

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Kelvin to Fahrenheit

To convert Kelvin to Fahrenheit, we use the formula °F = (K − 273.15) × 9/5 + 32, in which we substitute the value of Kelvin to get the temperature in Fahrenheit. Kelvin and Fahrenheit are scales that are used to measure temperature. Let us learn more about the Kelvin to Fahrenheit formula and its conversion in this article.

Kelvin to Fahrenheit Formula

Kelvin and Fahrenheit are the two scales on which temperature is measured. Sometimes we need to convert the temperature from the Kelvin scale to the Fahrenheit scale in order to compare or add/subtract the temperatures. Kelvin is the SI unit of temperature. It is denoted by the symbol K. Note that Kelvin is an absolute scale and that is why we do not use the degree symbol with it. Fahrenheit is a unit for measuring temperature in which water freezes at 32° and boils at 212° under standard conditions. It is denoted by the letter F. Look at the image given below showing the boiling point and freezing point of water in Kelvin and Fahrenheit scales.

The Kelvin to Fahrenheit formula (also known as ‘k to f formula’) is given as °F = (K − 273.15) × 9/5 + 32 or °F = (K − 273.15) × 1.8 + 32. It is used to convert the temperature from Kelvin to Fahrenheit.

Look at the following example to get a better understanding.

Example: What is 300 Kelvin to Fahrenheit?

300 Kelvin is 80.33° F. To solve this, we need to put the value of K as 300 in the K to F formula given above.

⇒ °F = (300 − 273.15) × 1.8 + 32

⇒ °F = 26.85 × 1.8 + 32

⇒ °F = 48.33 + 32

⇒ °F = 80.33°

It is the easiest way to convert Kelvin to Fahrenheit. Another way of K to F conversion is to first convert Kelvin to Celsius and then Celsius to Fahrenheit. Now, let us learn the steps to convert K to F using the above K to F formula.

How to Convert Kelvin to Fahrenheit?

To convert Kelvin to Fahrenheit, we need to simply put the given value in the above k to f formula. The steps to convert k to f (Kelvin to Fahrenheit) are given below:

• Step 1: Put the given value (in K) in the formula: °F = (K − 273.15) × 1.8 + 32.
• Step 2: Simplify the expression and find the answer.
• Step 3: Write the final answer in °F.

Let us take an example of Kelvin to Fahrenheit (K to F) conversion. Convert 100 Kelvin to Fahrenheit. Let us apply the above formula, °F = (K − 273.15) × 1.8 + 32. Substitute the value of K with 100. We get °F = (100 − 273.15) × 1.8 + 32.

⇒ °F = (− 173.15) × 1.8 + 32

⇒ °F = – 311.67 + 32

⇒ °F = – 279.67

So, 100 Kelvin to Fahrenheit is – 279.67 °F.

Kelvin to Fahrenheit Conversion Table

By using the Kelvin to Fahrenheit formula, we can convert some commonly used temperatures from Kelvin to Fahrenheit (K to F) easily. The Kelvin to Fahrenheit conversion table is given below that will help you to quickly identify the Fahrenheit values of the given temperature in Kelvin.

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Kelvin to Fahrenheit Conversion Examples

1. Example 1: How many degrees Fahrenheit is 1 Kelvin?

   Solution: Let us convert Kelvin to Fahrenheit by using the K to F formula, °F = (K − 273.15) × 1.8 + 32. Now if we substitute the value of Kelvin as 1 in the formula, we get, °F = (1 − 273.15) × 1.8 + 32.

   ⇒ °F = (− 272.15) × 1.8 + 32

   ⇒ °F = – 489.87 + 32

   ⇒ °F = – 457.87°

   Therefore, the value of 1 K to F is – 457.87° F.

2. Example 2: Convert 255.37 K to Fahrenheit.

   Solution: By substituting the value of Kelvin in the K to F formula, we get, °F = (255.37 − 273.15) × 1.8 + 32.

   ⇒ °F = (− 17.78) × 1.8 + 32

   ⇒ °F = – 32 + 32

   ⇒ °F = 0°

   Therefore, the value of 255.37 K in Fahrenheit is 0° F.

3. Example 3: What is 273 K in Fahrenheit?

   Solution: To convert Kelvin to Fahrenheit, we will use the following formula: °F = (K − 273.15) × 1.8 + 32. Substitute the value of K as 273.

   ⇒ °F = (273 − 273.15) × 1.8 + 32

   ⇒ °F = (− 0.15) × 1.8 + 32

   ⇒ °F = – 0.27 + 32

   ⇒ °F = 31.73°

   Therefore, the value of 273 K in Fahrenheit is 31.73° F.

FAQs on Kelvin to Fahrenheit

What is Kelvin to Fahrenheit?

Kelvin to Fahrenheit conversion is defined as converting a temperature from Kelvin to Fahrenheit unit. There are three units of measuring temperature – Kelvin, Fahrenheit, and Celsius. Converting Kelvin to Fahrenheit (K to F) is done by using the formula °F = (K − 273.15) × 1.8 + 32 or °F = (K − 273.15) × 9/5 + 32.

What is the Formula for Kelvin to Fahrenheit?

The Kelvin to Fahrenheit formula is °F = (K − 273.15) × 9/5 + 32, where F denotes Fahrenheit and K denotes Kelvin.

How do you Convert Kelvin to Fahrenheit?

There are two ways to convert Kelvin to Fahrenheit which are given below:

• Method 1: Convert Kelvin to Celsius by using the formula °C = K – 273.15, and then convert Celsius to Fahrenheit using the formula: (°C × 9/5) + 32 = °F.
• Method 2: Convert Kelvin to Fahrenheit directly by using the formula: °F = (K − 273.15) × 9/5 + 32.

What is the Equation for K to F?

The Kelvin to Fahrenheit equation is °F = (K − 273.15) × 9/5 + 32. On the right side, we have to put the temperature in Kelvin to get the value in Fahrenheit.

What is 1 Kelvin Equal to in Fahrenheit?

1 Kelvin is equal to – 457.87° F. It can be found out by using the K to F formula °F = (K − 273.15) × 1.8 + 32.

What is the Easiest Way to Convert Kelvin to Fahrenheit?

The easiest way to convert Kelvin to Fahrenheit is by directly applying the formula °F = (K − 273.15) × 1.8 + 32. In this, if we substitute the value of K on the right side, we will get the value of temperature in Fahrenheit.

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