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How to convert degree Celsius to Fahrenheit & vice versa./Concept behind the conversion of Celsius to Fahrenheit.

 Let us go through the temperature scales, to know them in a better way as below.



The formula to convert Celsius to Fahrenheit is

°F = [°C 🇽 (9/5) +32]

     = [1.8 °C +32]

Eg:

    Now, let us convert the boiling point of water from °C to ° F.

As you know, the boiling point of water = 100°C.

°F = [(1.8 🇽 100) +32]

      = [180 + 32]

    °F = 212°


The formula to convert Fahrenheit to Celsius is

°C = [(°F -32) 🇽 5/9]

Eg:

  Now, let us convert the normal body temperature from °F to ° C.

As you know, the normal body temperature = 98.6°F.

°C = [(98.6 -32) 🇽 5/9]

     = [ 66.6  🇽 5/9]

  °C = 37°


Let us go through some of the FAQs related to degree Celsius & Fahrenheit.


1. How much Fahrenheit is 1°C?

°F = [(1.8 🇽 °C) +32]

     = [(1.8 🇽 1) +32]

      = [1.8 +32] 

 °F = 33.8

1°C is equal to 33.8°F


2. What is the concept behind the conversion formula between degree Celsius & Fahrenheit?



In the Celsius scale, the temperature of melting ice is considered as 0°C & that of boiling water as 100°C. The difference between the two fixed points is equally divided into 100 parts & each part is taken as 1°C.

In the Fahrenheit scale, the temp. of melting ice is fixed at 32°F & that of boiling water at 212°F. The difference between the two fixed points is equally divided into 180 parts (212 - 32=180) & each division is considered as  1°F.

So, when we draw both scales graphically, their top & bottom point over the axis will be the same.

Let us consider an a°C. point over the scale as shown below.



When we measure the distance of a°C from the base in Celsius scale

= [L 100 х a °C]

The same distance over the Fahrenheit scale

=  [L 180 х (a °F -32)]

Now,  

[(L 100) х a °C] = [(L 180) х (a °F -32)]

Canceling L on both sides,

[a°C 100] =  [(a °F -32) 180]

(a °F -32) = [(a°C 100) х 180]

Canceling 'a' on both sides,

(°F -32) = (9 °C 5)

°F = [9/5 х °C +32]

°F = [1.8  х °C +32]


3. What is the difference between degree Celsius & degree Centigrade?

Celcius & Centigrade were the same temperature scale named at different time periods.

In the earlier days, the word Centigrade was used in which Centi refers to 100 divisions within the scale & grade for the gradients.

In 1948, the temperature scale was standardized with a more precise definition & named after the inventor as Celsius.

Nowadays, we use both words depending on our geographical locations, but the official term is Celsius.  


4. At what temp. point both  °Celsius & °Fahrenheit will show the same reading?

The answer is - 40°

Let us check:

 °F = [(1.8 🇽 °C) +32]

      = [(1.8 🇽 -40°) +32]

      = [ -72 + 32 ]

 °F = - 40°


Thank you for going through these calculation steps. Have a good day 😄.

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