Fahrenheit Temperature Scale

Fahrenheit Into Celsius

There are three basic scales of temperature known as the Thermometric scale and they are interrelated to each other. The three scales of temperature are Celsius, kelvin, and Fahrenheit. Celsius and Kelvin’s scales are the most widely used measurement scales. Yet Fahrenheit scale is used in the United States of America. 

In Physics, unit conversion is quite an important aspect as everything can not be measured or considered in the same way. That’s why all three scales of temperature can be expressed with respect to one another with the help of unit conversions.

Fahrenheit into Celsius or Centigrade to Fahrenheit Conversion:

The Celsius scale is determined by the melting and boiling points of the water. The Centigrade system is measured in units of Celsius and is abbreviated as °C. The celsius scale is divided into 100 equal parts, such that the lower fixed point is 0℃ and the upper fixed point is 100⁰C. 

Similarly, the Fahrenheit scale is also determined by the melting and boiling point of the water, and it is abbreviated as ⁰F. The Fahrenheit scale is divided into 180 equal parts in such a way that, 32 ⁰F being the lowest point and 212 ⁰F is the highest point.

Celsius to Fahrenheit Conversion Formula:

The Celsius and Fahrenheit can be converted into one another by using the conversion formula that can be derived as follows:

We know that in the Celsius scale the ice point or the lowest fixed point = 0⁰C 

And the Boiling Point or the highest fixed point on the Celsius scale = 100⁰C 

Similarly,

On the Fahrenheit scale the ice point or the lowest fixed point = 32⁰F 

And the Boiling Point or the highest fixed point on the Fahrenheit scale = 212⁰F

The number of equal parts on the Celsius scale = 100 parts

The number of equal parts on the Fahrenheit scale = 180 parts

Therefore, we get:

100 divisions the Celsius scale =180 divisions on the Fahrenheit Scale

Then,

⇒ 1 division on Celsius scale = 180/100 division on Fahrenheit scale

Therefore,

⇒ 1 division on C - scale = 9/5 divisions on F - Scale

There is 32 division difference between the Celsius scale and the Fahrenheit scale. Therefore, the degree celsius to Fahrenheit conversion  or converting Fahrenheit to Celsius is given by:

⇒ 1⁰F = \[\frac{9}{5}\]⁰C + 32 ………..(1)

Or

⇒ 1⁰C = \[\frac{5}{9}\](⁰F - 32) ………(2)

Equation (2) is known as the celsius to Fahrenheit formula and equation (1) is known as Fahrenheit to celsius formula.

Conversion of Fahrenheit to Kelvin:

Just like we converted degree celsius into Fahrenheit or degrees into Fahrenheit we can convert Fahrenheit to kelvin as well with the same method and by using the formula given below:

We know that,

⇒ K = X⁰C + 273

Substituting the relation between degree celsius into Fahrenheit,

⇒ K = X{\[\frac{5}{9}\](⁰F - 32) + 273}

The above expression is known as the conversion of Kelvin to Fahrenheit.

Examples:

1: Convert 37-degree Celsius to Fahrenheit.

Sol: 

We know that,

⇒ 1⁰F = \[\frac{9}{5}\]⁰C + 32

Therefore 37-degree Celsius is given by,

⇒ ⁰F = \[\frac{9}{5}\] x 37⁰C + 32

⇒ ⁰F = 66.6⁰C + 32

⇒ ⁰F = 98.6

Therefore, 37 ⁰C is equal to 98.6 ⁰F 

2: Convert 38 Celsius into Fahrenheit.

Sol: 

We know that,

⇒ 1⁰F = \[\frac{9}{5}\]⁰C + 32

Therefore 38-degree Celsius is given by,

⇒ ⁰F = \[\frac{9}{5}\] x 38⁰C + 32

⇒ ⁰F = 68.4⁰C + 32

⇒ ⁰F = 100.4

Therefore, 38⁰C is equal to 100.4⁰F

3: Convert 40 Celsius to Fahrenheit.

Sol: 

We know that,

⇒ 1⁰F = \[\frac{9}{5}\]⁰C + 32

Therefore 40-degree Celsius is given by,

⇒ ⁰F = \[\frac{9}{5}\] x 40⁰C + 32

⇒ ⁰F = 72⁰C + 32

⇒ ⁰F = 104

Therefore, 40 ⁰C is equal to 104⁰F

4: Convert 80 Fahrenheit to Celsius.

Sol: 

We know that,

⇒ 1⁰C =  \[\frac{5}{9}\](⁰F - 32) 

Therefore 80 degrees Fahrenheit is given by,

⇒ 1⁰C =  \[\frac{5}{9}\](80⁰F - 32)

⇒ 1⁰C =  \[\frac{5}{9}\](48)

⇒ ⁰F = 26.66

Therefore, 80 ⁰F is equal to 26.66⁰C.