Temperature Conversion Formula With Step By Step Solved Examples
Conversion of temperature is the process of changing the value of temperature from one unit to another. There are many methods of conversion of temperature, among them Kelvin, Celsius and Fahrenheit are the most frequently used methods. According to the Kelvin scale, the freezing point of water is 273.15K and the boiling point is 373.15K and according to the Fahrenheit scale, the freezing point of water is 32°F and the boiling point is 212°F. In the same way, according to the Celsius temperature scale, the freezing point of water is 0°C and the boiling point is 100°C.
Celsius Scale
The Celsius scale is also called the centigrade scale, and it is based on 0° C for the freezing point and 100° C for the boiling point of water. Initially, On the Celsius scale, 0° is used to denote the boiling point of water and 100° C to denote the freezing point of water. Further, these values were inverted 0° for the freezing point and 100° for the boiling point of water. This form of scale gained widespread use all over the world.
Fahrenheit Scale
This scale is based on 32° for the freezing point of the water and 212° for the boiling point of the water, the interval between the freezing point and the boiling point in being divided into 180 equal parts. The Fahrenheit temperature scale was first introduced in the 18th century by a German physicist named Daniel Gabriel Fahrenheit. Initially, he selected zero of his scale, as the temperature of the ice salt mixture. And then selected the values of 30° and 90° for the freezing point of water and normal body temperature, Later they were revised to 32° and 96°. But, the final scale requires an adjustment to 98.6° for the latter value.
The Fahrenheit scale is used in the US and the Celsius or centigrade scale is used in most of the other countries, for scientific purposes worldwide. The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) formula is given below:
°F = (9/5 × °C) + 32.
Interactive Thermometer
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An interactive thermometer consists of the accompanying measures to illustrate the temperature as shown in the above figure. The scale is shown in both Celsius and Fahrenheit readings on either side. This ranges from 100°C to -40°C and is marked in intervals of ten degrees. A slider is dragged in the interactive thermometer to alter the measure. And note that the red ‘mercury’ level does not raise or lower on the interactive.
Conversion of Temperature
Temperature Conversion Formulas
There are mainly three types of temperature conversion given below:
Conversion Between Celsius and Kelvin
Conversion Between Fahrenheit and Kelvin
Conversion Between Celsius and Fahrenheit
The Formula Used for Temperature Conversion of Celsius and Kelvin is:
The formula used to convert temperature from Celsius to Kelvin is K = C + 273.15.
The formula used to convert temperature from Kelvin to Celcius is C = K − 273.15.
The Formula Used for Temperature Conversion of Fahrenheit and Celsius is:
The conversion of the temperature from Fahrenheit to Celsius formula is C = (F − 32) × 5 ⁄ 9.
conversion of the temperature from Celsius to Fahrenheit formula is F = C(9 ⁄ 5) + 32.
The Formula Used for Temperature Conversion of Fahrenheit and Kelvin is:
The formula used to convert temperature from Fahrenheit to Kelvin is, K = (F − 32) × 5 ⁄ 9 + 273.15.
The formula used to convert temperature from Kelvin to Fahrenheit is, F = (K – 273.15) × 9 ⁄ 5 + 32.
Fahrenheit to Celsius Chart Table
Temperature Conversion Formula Table
Solved Example Question
Question 1: What is 30°C in Kelvin?
Solution:
The formula used to convert temperature from Celsius to Kelvin is, K = C + 273.15
K = 30 + 273.15 K = 303.15
Question 2: Convert 50°C to °F.
Solution:
Celsius to Fahrenheit conversion formula is given by:
°F = °C(9 / 5) + 32
= 50 (9 / 5) + 32
= 90 + 32
= 122
Therefore, 50°C = 122°F
Question 3: Convert 113°F to Kelvin.
Solution:
Fahrenheit to Kelvin conversion formula is given by:
K = (F − 32) × 5 / 9 + 273.15
= (113 – 32) × (5 / 9) + 273.15
= 81 × (5 / 9) + 273.15
= 45 + 273.15
= 318.15
Therefore, 113°F = 318.15 K
Question 4: Convert 225 K to Celsius.
Solution:
Kelvin to Celsius conversion formula is given by:
C = K – 273.15
= 225 – 273.15
= -48.15
Therefore, 225 K = -48.15°C
FAQs on Conversion Of Temperature Between Celsius Fahrenheit and Kelvin
1. What is the formula for converting Celsius to Fahrenheit?
The formula to convert Celsius to Fahrenheit is F = (9/5)C + 32.
- Multiply the temperature in Celsius by 9/5.
- Add 32 to the result.
- The final value is the temperature in Fahrenheit.
F = (9/5 × 25) + 32 = 45 + 32 = 77°F.
2. How do you convert Fahrenheit to Celsius?
The formula to convert Fahrenheit to Celsius is C = (5/9)(F − 32).
- Subtract 32 from the Fahrenheit value.
- Multiply the result by 5/9.
- The answer is the temperature in Celsius.
C = (5/9)(68 − 32) = (5/9 × 36) = 20°C.
3. What is the formula for converting Celsius to Kelvin?
The formula to convert Celsius to Kelvin is K = C + 273.15.
- Add 273.15 to the Celsius temperature.
- The result is the temperature in Kelvin.
K = 30 + 273.15 = 303.15 K.
4. How do you convert Kelvin to Celsius?
The formula to convert Kelvin to Celsius is C = K − 273.15.
- Subtract 273.15 from the Kelvin value.
- The result gives the temperature in Celsius.
C = 300 − 273.15 = 26.85°C.
5. What is the formula for converting Fahrenheit to Kelvin?
The formula to convert Fahrenheit to Kelvin is K = (5/9)(F − 32) + 273.15.
- Subtract 32 from Fahrenheit.
- Multiply by 5/9.
- Add 273.15 to get Kelvin.
K = (5/9)(0) + 273.15 = 273.15 K.
6. At what temperature are Celsius and Fahrenheit equal?
Celsius and Fahrenheit are equal at −40°.
- Set C = F in the formula F = (9/5)C + 32.
- Solve: C = (9/5)C + 32.
- This simplifies to C = −40.
7. Why do we add 32 in the Celsius to Fahrenheit formula?
We add 32 in the Celsius to Fahrenheit formula because 0°C corresponds to 32°F on the Fahrenheit scale.
- The scales have different zero points.
- Multiplying by 9/5 adjusts the size of each degree.
- Adding 32 shifts the starting point correctly.
8. What is absolute zero in Celsius and Fahrenheit?
Absolute zero is 0 K, which equals −273.15°C and −459.67°F.
- Use C = K − 273.15 → 0 − 273.15 = −273.15°C.
- Use F = (9/5)C + 32 → F = (9/5 × −273.15) + 32 = −459.67°F.
9. How do you quickly estimate Celsius to Fahrenheit in your head?
A quick mental estimate to convert Celsius to Fahrenheit is to double the Celsius value and add 30.
- This is an approximation, not exact.
- Actual formula: F = (9/5)C + 32.
10. What are the main temperature conversion formulas to remember?
The main temperature conversion formulas are standard equations connecting Celsius, Fahrenheit, and Kelvin.
- F = (9/5)C + 32
- C = (5/9)(F − 32)
- K = C + 273.15
- C = K − 273.15
- K = (5/9)(F − 32) + 273.15
