Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

Relation Between Fahrenheit and Celsius

ffImage
Last updated date: 28th May 2024
Total views: 456.6k
Views today: 11.56k
hightlight icon
highlight icon
highlight icon
share icon
copy icon

Learn Relationship Between Fahrenheit and Celsius



Fahrenheit and Celsius are the two scales widely used for measuring temperature. The temperature in the Fahrenheit scale is expressed or written in degrees Fahrenheit, and the temperature in the Celsius scale is expressed or written in degree Celsius. The relationship between Fahrenheit and Celsius is directly proportional. Besides, both Fahrenheit and Celsius have a different values for the freezing point of water, and both have a different unit difference between each scale.


What are the Units of Fahrenheit and Celsius?

For differentiating the temperature of one scale from another, the units of temperature scale prove to be extremely beneficial. °C denotes the temperature in the Celsius scale, and °F denotes the temperature in the Fahrenheit scale.

 

What is the Relationship Between C and F?

The relation between C and F shows that both Celsius and Fahrenheit are directly proportional to each other. To be specific, it implies that as the temperature in the Celsius scale increases, the temperature in the Fahrenheit scale also increases. Additionally, when the temperature in the Celsius scale decreases, the temperature in the Fahrenheit scale also decreases. Both the Celsius and Fahrenheit scales have their respective thermometer for measurements.

On the Fahrenheit scale:

32°F = the freezing point of water. 

212°F = the boiling point of water. 

On the Celsius scale:

 0°C = the freezing point of water.

100°C = the boiling point of water.

 

Conversion From Celsius to Fahrenheit 

The following mathematical formula shows the conversion from Celsius to Fahrenheit:

F = ( 9/5 * C) + 32

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

 

Conversion From Fahrenheit to Celsius

The following mathematical formula shows the conversion from Fahrenheit to Celsius:

C = 5/9 (F – 32)

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 


Degree Celsius To Fahrenheit 

For converting 1 degree Celsius to Fahrenheit, we will use the following formula:

F = ( 9/5 * C) + 32

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of C = 1. So, we will substitute the value of C, and find the value of F.

F = ( 9/5 * 1) + 32

F = ( 9/5 ) + 32

F = (9 + 160)/5

F = (169)/5

F = 33.8

So, 1 degree Celsius = 33.8°F


Degree Fahrenheit To Celsius

For converting 1 degree Fahrenheit to Celsius, we will use the following formula:

C = 5/9 (F – 32)

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of F = 1. So, we will substitute the value of F, and find the value of C.

C = 5/9 (1 – 32)

C = 5/9 (- 31)

C = - 155/9

C = - 17.2222

So, 1 degree Fahrenheit = - 17.2222°C

 

Solved Examples:

Question 1

Convert 12°F to Celsius. 

Answer:

For converting 12°F to Celsius, we will use the following formula:

C = 5/9 (F – 32)

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of F = 12. So, we will substitute the value of F, and find the value of C.

C = 5/9 (12 – 32)

C = 5/9 (-20)

C = - 100/9

C = - 11.11

So, 12°F = - 11.11°C

 

Question 2

Convert 30°C to Fahrenheit. 

Answer:

For converting 30°C to Fahrenheit, we will use the following formula:

F = ( 9/5 * C) + 32

Where F refers to the temperature in Fahrenheit, and C refers to the temperature in the Centigrade scale. 

In this particular case, the value of C = 30. So, we will substitute the value of C, and find the value of F.

F = ( 9/5 * 30) + 32

F = ( 9 * 6) + 32

F = 54 + 32

F = 86

So, 30°C = 86°F


The history of the Celsius and Fahrenheit Scales of Temperature

Of the two, the Fahrenheit Scale was invented first. It was invented by the physicist Daniel Gabriel Fahrenheit I'm 1724, who based his scale on the freezing temperature of brine and his estimation of the average inner body temperature of a person. Brine, which is a solution of water, ice, and ammonium chloride (a type of salt) was estimated to freeze at 0°F according to his scale. On the hotter side of the scale, he estimated that the average human's internal body temperature would be around 90°F, a figure that he later revised to 96°F. Daniel Gabriel Fahrenheit came quite close with that latter estimate, as we now know that the average human's internal body temperature is around 98°F.

The Celsius Scale was developed around 20 years after the Fahrenheit Scale, in 1742. The inventor of the scale was named Anders Celsius, after whom the scale is named. However, that was not his original name for it. The name he gave, which was used for the next couple of centuries before being changed, was the Centigrade Scale. This name was given because of the base of the calculation. In his scale, Celsius estimated that the melting point of snow would be around 0°C while the boiling point of water would be 100°C. This 100 point difference led to the name Centigrade, coming from the Latin words centum meaning 100 and gradus meaning steps. 

Most places that follow the metric system use the Celsius Scale as the main measurement of temperature, while other places use the Fahrenheit Scale. However, scientific research all over the world uses the Celsius Scale.

You can click here to learn how to convert from Celsius to Fahrenheit and vice versa.

FAQs on Relation Between Fahrenheit and Celsius

1. What is the Celsius Scale?

The Celsius scale of temperature is based on the boiling and freezing temperatures of water. According to this scale, the freezing temperature of the water is 0°C, while the boiling temperature of the water is 100°C. Because of the 100 degrees difference, this scale is also known as the Centigrade scale. In fact, the Centigrade was the original name of the scale, before it was renamed to honour its inventor.


The Celsius scale is named after its inventor, the Swedish astronomer Anders Celsius. Developed in 1742, the scale originally used a 100 point system to distinguish between the temperature at which snow melts and the temperature at which water boils. Later, it was redefined to the temperature at which water freezes versus the temperature at which water boils, putting the two temperatures at different ends of the hot and cold spectrum.

2. What is the Fahrenheit Scale?

The Fahrenheit Scale was developed in 1724 by a physicist named Daniel Gabriel Fahrenheit. Using this scale, he made rough estimates of the temperatures at which different events occur. 


For example, he set 0°F as the point at which brine (a solution of water, ammonium chloride, and ice) froze. He also estimated that, according to his scale, water froze at a temperature of 32°F. 


He later estimated an average normal body temperature based on his scale. At first, he estimated that the average human's internal body temperature was around 90°F, which he later revised to 96°F. We now know, based on more modern methods of detection, that the average human's internal body temperature is around 98°F, so he was close in his estimate.

3. What is the difference between Celsius and Fahrenheit and how to calculate the difference?

Both the Celsius Scale and the Fahrenheit Scale are simply different scales of measurement used to calculate the same thing: temperature. The difference is in the numbers used and the base numbers set in each scale. The only similarity is the fact that both have a rising scale of measurement, meaning that the higher the number on the scale, the higher the measurement of heat.


To convert from Celsius to Fahrenheit:


The formula is F = (9/5 * C) + 32


In the above formula, F refers to the temperature in Fahrenheit, while C refers to the temperature in Celsius.


To convert from Fahrenheit to Celsius:


The formula is C = 5/9 (F - 32)


In the above formula, F refers to Fahrenheit, while C refers to Celsius.

4. Where can I find more information about Celsius and Fahrenheit?

To find more information on Celsius and Fahrenheit, you can browse through the Vedantu website or app. Vedantu has several resources to help you learn about the topic of Celsius and Fahrenheit. These resources include revision notes, solved questions, formulas, and more. All of the notes provided on Vedantu are written and compiled by experts in the subject matter.


Apart from the resources on Vedantu, we also recommend that you refer to your prescribed textbooks and reference books. These books are prescribed because of their clear explanations and adherence to the board guidelines.

5. How should I practice solving questions on Celsius and Fahrenheit?

One of the most common questions from the topic of Celsius and Fahrenheit and the relation between the two is a question on the conversion of temperatures from one scale to the other. Thus, it is extremely important to learn how to solve these questions. 


On this page, you will find the formulas used to convert from Celsius to Fahrenheit and vice versa. There are also a few solved examples available that will help you learn how to apply those formulas. You can also refer to these solved examples to learn more.