In view of the coronavirus pandemic, we are making LIVE CLASSES and VIDEO CLASSES completely FREE to prevent interruption in studies
Home > Formulas > Maths Formulas > Temperature Conversion Formulas
Maths Formulas

Temperature Conversion Formulas

Temperature is referring to how hot or cold something is. Temperatures are usually represented in some quantity using some units. The same temperature has different readings on the three temperature scales, which are – Fahrenheit, Celsius, and Kelvin. In this article, the students will learn a lot about the various temperature scales and temperature conversion formulas for one scale to another scale. Also, some examples will be given here to elaborate on the conversions. Let us begin learning!

Temperature Conversion Formulas

Why Temperature Conversion is Required?

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 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 the Fahrenheit scale, the freezing point of water is 32° F and the boiling point is 212 ° F. Hence to the Celsius scale, the freezing point of water is 0° C and the boiling point is 100°C.

Temperature Conversion Formulas

Therefore, there can be three main conversions of temperature which are:

  • The Conversion between Celsius and Kelvin
  • Conversion between Fahrenheit and Kelvin
  • Conversion between Celsius and Fahrenheit

Various Temperature Conversion 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 Kelvin scale

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

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

\(C= (F-32) X \frac{5}{9}\)

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

\(F = C X \frac{9}{5} +32\)

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:

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

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

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

Where,

F The temperature in Fahrenheit scale
K The temperature in the Kelvin scale

Solved Examples

Q.1: What is temperature 30° C on the Kelvin scale?

Solution: As given C = 30° C

The temperature conversion formula from Celsius to Kelvin unit is,

K = C + 273.15 = 30 + 273.15 K

K = 303.15

Therefore temperature in the Kelvin scale is 303.15 K.

Q.2: Convert the temperature into the scale of Celsius, which is 375 K on the Kelvin scale. Solution: As given K = 375 K.

Solution: The temperature conversion formula from Kelvin to Celsius is,

C= K-273.15 = 375- 273.15

i.c. C = 101.85

Therefore temperature in Celsius is 101.85° C.

Q.3: Convert the temperature 98.6° Fahrenheit which is normal body temperature to Celsius scale.

Solution: As given in the question,

F = 98.6°F

Formula for conversion to Celsius, formula is

\(C= (F-32) \times \frac{5}{9}\)

Putting the known values,

\(C= (98.6-32) \times \frac{5}{9}\)

i.e. \(C =66.6 \times \frac {5}{9}\)

i.e. C= 37 ° C

Therefore normal body temperature in Celsius  is 37° C.

Share with friends

Customize your course in 30 seconds

Which class are you in?
5th
6th
7th
8th
9th
10th
11th
12th
Get ready for all-new Live Classes!
Now learn Live with India's best teachers. Join courses with the best schedule and enjoy fun and interactive classes.
tutor
tutor
Ashhar Firdausi
IIT Roorkee
Biology
tutor
tutor
Dr. Nazma Shaik
VTU
Chemistry
tutor
tutor
Gaurav Tiwari
APJAKTU
Physics
Get Started

Leave a Reply

avatar
  Subscribe  
Notify of

Stuck with a

Question Mark?

Have a doubt at 3 am? Our experts are available 24x7. Connect with a tutor instantly and get your concepts cleared in less than 3 steps.
toppr Code

chance to win a

study tour
to ISRO

Download the App

Watch lectures, practise questions and take tests on the go.

Get Question Papers of Last 10 Years

Which class are you in?
No thanks.