Temperature is a physical quantity used to measure how hot or cold something. It is specifically needed during the measure of the average kinetic energy of the particles in an object. This is a type of energy associated with motion. But how someone may know how hot it is hot, and how cold is cold? These terms hot and cold are not scientific terms. If we have to specify how hot or cold something is, then we must use temperature. Using temperature instead of words hot or cold will reduce the confusion. In this article, the students will learn a lot about the various temperature scales and temperature formulas. Let us begin learning!

**Temperature Formulas**

**Why temperature formulas for conversion are required?**

Temperatures are usually represented in some quantity using some specific units. The same temperature has different readings on different temperature scales. These scales are Fahrenheit, Celsius, and Kelvin. Temperature conversion refers to changing the value of temperature from one scale unit to another. It is required so that we can compare various temperature values on a common platform.

There are various temperature conversion methods. According to the Kelvin scale, the freezing point of water is 273.15K and the boiling point is 373.15K. As per the 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 degree°C and the boiling point is 100°C.

There are three main conversions of temperature such as Conversion between:

- Celsius and Kelvin
- Fahrenheit and Kelvin
- Celsius and Fahrenheit

**Various Temperature formulas:**

**(1) Conversion of Temperature between Celsius unit and Kelvin unit:**

The temperature conversion formula from the Celsius unit to Kelvin unit is:

K= C+ 273.15

The temperature conversion formula from the Kelvin unit to the Celsius unit is:

C= K-273.15

Where,

C | The temperature in Celsius scale |

K | The temperature in the Kelvin scale |

**(2) Conversion of Temperature between Fahrenheit unit and Celsius unit:**

The temperature conversion formula from Fahrenheit unit to the Celsius unit is:

C= (F-32) × \( \frac{5}{9} \)

The Temperature Conversion Formula from Celsius unit to Fahrenheit unit is:

F = C × \( \frac{9}{5} +32 \)

Where,

C | The temperature in Celsius scale |

F | The temperature in Fahrenheit scale |

** (3) Conversion of Temperature between Fahrenheit unit and Kelvin unit:**

The Temperature Conversion Formula from Fahrenheit unit to Kelvin unit is:

\( K= (F-32) × \frac{5}{9} + 273.15 \)

The Temperature Conversion Formula from Kelvin unit to Fahrenheit unit is:

\( F= (K-273.15) × \frac{9}{5} +32 \)

Where,

F | The temperature in Fahrenheit scale |

K | The temperature in Kelvin scale |

**Solved Examples**

Q.1: Compute the temperature 45°C in the Kelvin scale unit?

Solution:

As given in the question

C = 45°C

We will use the temperature conversion formula from Celsius to Kelvin as,

K = C + 273.15= 45 + 273.15 K

K = 318.15

So, the temperature on the Kelvin scale will be 318.15 K.

Q.2: Convert the temperature into the Celsius unit, which is 286 K on the Kelvin scale.

Solution: It is given that,

K = 286K

Now, we will use the temperature conversion formula from Kelvin to Celsius as,

C= K-273.15

i.e. C = 286- 273.15

i.e. C = 12.85

So, the temperature in the Celsius scale will be 2.85°C.