Celsius, Fahrenheit and Kelvin Scales and Conversion Formulas

Physics · Thermal Properties Of Matter · NEET

Temperature can be shown on three scales. To convert, use these plain formulas: F = (9/5)C + 32, K = C + 273.15, and C = (5/9)(F - 32). Memory hook: the number 273 turns Celsius into Kelvin, and "9-5-32" (nine fifths plus thirty-two) turns Celsius into Fahrenheit.
Three Temperature Scales (Freezing to Boiling of Water)CelsiusFahrenheitKelvin010032212273.15373.15boil 180 parts100100
The same water freezing-to-boiling range shown on three scales: Celsius has 100 parts, Fahrenheit 180 parts, and Kelvin 100 parts. This is why 1 C equals 1 K but equals 1.8 F, and why the Celsius-to-Fahrenheit factor is 9/5.

Your doubts, answered

Why do we add 273 (or 273.15) to change Celsius into Kelvin?

The Kelvin scale starts at absolute zero, the lowest possible temperature, which is -273.15 degrees Celsius. So 0 K is the same as -273.15 C. Both scales grow at the same speed (one Kelvin equals one degree Celsius in size), so you only need to shift the starting point. Adding 273.15 moves you from the Celsius zero (melting ice) up to where the Kelvin count begins. For NEET numericals, 273 is usually accepted unless the question needs 273.15.

Why is the Fahrenheit formula 9/5 times C plus 32 and not something simpler?

Two things differ between Celsius and Fahrenheit: the size of one degree and the zero point. Between freezing and boiling of water, Celsius has 100 divisions (0 to 100) but Fahrenheit has 180 divisions (32 to 212). So one Celsius degree equals 180/100 = 9/5 Fahrenheit degrees; that gives the 9/5 factor. The +32 is added because Fahrenheit freezing point is 32, not 0. First stretch the scale by 9/5, then shift by 32.

Is a change of 1 degree Celsius the same as a change of 1 Kelvin?

Yes. The Celsius and Kelvin scales have the same degree size; only their zero points differ. So a temperature difference or a temperature rise of 20 C is exactly a rise of 20 K. This is why formulas like Q = m c delta T give the same numerical answer whether delta T is in Celsius or Kelvin. But Celsius and Fahrenheit differences are NOT equal: a change of 1 C equals a change of 1.8 F.

At what temperature does Celsius equal Fahrenheit?

Set C = F in the formula F = (9/5)C + 32. Then C = (9/5)C + 32, so C - (9/5)C = 32, which gives -(4/5)C = 32, so C = -40. So -40 C equals -40 F. This single point is a favourite NEET and quiz question; remember minus forty as the meeting point.

Why is Kelvin written as just K and not degree K?

By modern SI rules, Kelvin is an absolute (thermodynamic) scale, so we write 300 K, not 300 degree K. The degree symbol is used for Celsius (25 C is read as twenty-five degree Celsius) and Fahrenheit. Kelvin uses the plain word kelvin and the symbol K only. Writing 'degree K' is marked wrong.

⚠️ The NEET trap
Using delta T in Kelvin gives a different answer than delta T in Celsius, so you must always convert first.
A temperature CHANGE is the same number in Celsius and Kelvin (delta T in C = delta T in K), because both have equal degree size. You only add 273 when you need an absolute temperature value, not a difference.
🧠 Add 273 for a VALUE, never for a DIFFERENCE between Celsius and Kelvin.

Solved Thermal Properties Of Matter NEET PYQs

Try the real previous-year questions from this chapter — each with the answer and a full solution.

See all 16 Thermal Properties Of Matter NEET PYQs ›
Next concept: Absolute Zero and the Kelvin (Absolute) Temperature ScaleKeep learning — 2 minFeeling ready? Solve the Thermal Properties Of Matter NEET PYQs ›Or practice on your phone — get the free MedicNEET app ›

Frequently asked

What are the three main temperature scales?

Celsius (C), Fahrenheit (F) and Kelvin (K). Celsius and Kelvin are used in science; Kelvin is the SI unit of temperature. Fahrenheit is common in daily life in some countries.

What are the key conversion formulas?

F = (9/5)C + 32, C = (5/9)(F - 32), K = C + 273.15, and C = K - 273.15. To go from Fahrenheit to Kelvin, first find C, then add 273.15.

What is the freezing and boiling point of water on each scale?

Freezing point: 0 C, 32 F, 273.15 K. Boiling point: 100 C, 212 F, 373.15 K. Between these, Celsius has 100 parts, Fahrenheit has 180 parts, Kelvin has 100 parts.

How do I convert 37 C (body temperature) to Fahrenheit?

F = (9/5)(37) + 32 = 66.6 + 32 = 98.6 F. That is the normal human body temperature. In Kelvin it is 37 + 273.15 = 310.15 K.

Which scale should I use in NEET numericals?

Use Kelvin for gas laws, Stefan-Boltzmann law and any formula with absolute temperature. For a temperature change (delta T) you may keep Celsius, since the change is the same as in Kelvin.