If two systems are each in thermal equilibrium with a third, they are in thermal equilibrium with each other. Defines temperature operationally.
-- NCERT, p. 2Concept of Temperature
Lesson
Topic: Concept of Temperature
Temperature is one of the most familiar physical quantities, yet NEET aspirants often stumble on its precise thermodynamic definition. The core idea: temperature determines the direction of heat flow between two systems in thermal contact. Heat flows from higher temperature to lower temperature — and when it stops, the systems are in thermal equilibrium.
The Zeroth Law of Thermodynamics (NCERT Class 11 Physics, Chapter 11, page 2) formalises this: if system A is in thermal equilibrium with system C, and system B is also in thermal equilibrium with system C, then A and B are in thermal equilibrium with each other. This transitive property is what makes thermometers meaningful — system C acts as the thermometer.
Temperature is a scalar state function. It depends only on the current state of the system, not how it got there. For an ideal gas, temperature is directly proportional to the average translational kinetic energy of molecules: ⟨KE⟩ = (3/2)kT, where k is Boltzmann's constant.
Temperature scales and conversions appear regularly in NEET:
- Celsius to Kelvin: T(K) = T(°C) + 273.15
- Fahrenheit to Celsius: T(°C) = (5/9)[T(°F) − 32]
- The Kelvin scale is the SI thermodynamic scale; 0 K is absolute zero.
A common confusion: students treat temperature as a measure of "total heat" in a body. Temperature measures average molecular kinetic energy per degree of freedom — two bodies at the same temperature can hold vastly different amounts of thermal energy depending on mass and specific heat.
Watch out for conversion errors in numerical problems — forgetting the 273.15 offset or misapplying the (5/9) vs (9/5) factor in Fahrenheit conversions costs easy marks.
Practice MCQs
Select an option to see the explanation. Wrong answers show why your choice was tempting — and name the exact trap it exploits.
The Zeroth Law of Thermodynamics is the basis for the concept of:
What is the SI unit of temperature?
If system A is in thermal equilibrium with system C, and system B is in thermal equilibrium with system C, then according to the Zeroth Law:
Convert 37°C (normal human body temperature) to Kelvin.
A temperature of −40°F is equivalent to what value on the Celsius scale?
Two bodies A and B are at temperatures 300 K and 400 K respectively. When placed in thermal contact, heat will flow:
A large block of iron and a small cup of water are both at 80°C. Which statement is correct?
A thermometer reads 50°F. Convert this to the Kelvin scale.
Worked Example
- 1
Given
A thermometer reads 212°F.
- 2
Required
Express this temperature in (a) Celsius and (b) Kelvin.
- 3
Concept
Temperature scale conversion uses the Fahrenheit-to-Celsius formula and the Celsius-to-Kelvin offset. These are direct applications of the definitions of the three common temperature scales.
- 4
Formula
- T(°C) = (5/9)[T(°F) − 32] - T(K) = T(°C) + 273.15
- 5
Substitution
- T(°C) = (5/9)(212 − 32) = (5/9)(180) - T(K) = T(°C) + 273.15
- 6
Calculation
- T(°C) = (5/9) × 180 = 100°C - T(K) = 100 + 273.15 = 373.15 K Note on exact values: 32 and 273.15 are defined conversion constants (exact by definition). The input 212°F is the exact boiling point of water at 1 atm. These do not introduce significant-figure limitations.
- 7
Final answer
212°F = 100°C = 373.15 K
- 8
Common trap
The most common error is using (9/5) instead of (5/9) when converting from Fahrenheit to Celsius — that would give T(°C) = (9/5)(180) = 324°C, a wildly incorrect answer. Remember: Fahrenheit-to-Celsius uses the fraction 5/9; Celsius-to-Fahrenheit uses 9/5. A second trap: forgetting to subtract 32 first. If you compute (5/9)(212) = 117.8°C, you get a wrong intermediate value.
- 9
Similar NEET-style question
"The temperature of a furnace is 1832°F. What is the temperature in Kelvin?" (Answer: T(°C) = (5/9)(1832 − 32) = (5/9)(1800) = 1000°C → T(K) = 1273.15 K) ---
Before solving, remember these
Formulas
4 formulas — click to collapse
Adiabatic relations for ideal gas
Relations holding during reversible adiabatic process. gamma = Cp/Cv.
| Symbol | Quantity | SI Unit |
|---|---|---|
| P | pressure | Pa |
| V | volume | m^3 |
| T | temperature | K |
| gamma | adiabatic index | - |
Valid when
- Q = 0 (no heat exchange)
- Quasi-static (reversible)
- Ideal gas
First law of thermodynamics
Change in internal energy = heat ADDED minus work DONE BY the system. Energy conservation including thermal energy.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Delta_U | change in internal energy | J |
| Q | heat added to system | J |
| W | work done BY system | J |
Valid when
- Closed system (no mass exchange)
- Sign convention: Q>0 heat in, W>0 system does work
Work done in isothermal process (ideal gas)
Work done by ideal gas during isothermal expansion. Q = W (since Delta_U = 0). Reverse for compression.
| Symbol | Quantity | SI Unit |
|---|---|---|
| n | moles | mol |
| R | gas constant 8.314 | J/mol/K |
| T | temperature | K |
| V_i, V_f | initial/final volume | m^3 |
Valid when
- Ideal gas
- Quasi-static (reversible) isothermal
Mayer's relation (Cp - Cv = R)
For ideal gas: difference of molar specific heats equals gas constant R. Useful for converting between Cp and Cv.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Cp | molar specific heat at const P | J/mol/K |
| Cv | molar specific heat at const V | J/mol/K |
| R | 8.314 | J/mol/K |
Valid when
- Ideal gas
- Per mole basis
Exam Traps & Common Mistakes
These are the exact patterns that cause wrong answers in NEET. Each trap includes when it triggers and how to avoid it.
2 items — click to collapse
Category: Graph Interpretation
Student misidentifies which P-V curve is adiabatic (steeper) vs isothermal.
When it triggers
P-V graph showing one or more processes; question asks for process type.
How to avoid
Adiabatic curve is STEEPER than isothermal at the same point (slope ratio = γ). Adiabat: PV^γ; isotherm: PV = const.
Root cause: graph misread
Correction
Adiabatic curve is STEEPER than isothermal at the same P-V point. Slope ratio at same point: adiabatic / isothermal = γ. Memorise: 'adiabatic angles down sharper'.
Past Year Questions
4 questions from NEET 2022, 2023, 2024, 2025. Answers verified against NTA official keys. — click to collapse
How NEET usually asks this
2 recurring patterns from past papers — click to collapse
Cyclic process: net Q = net W (since Delta_U cycle = 0). Compute work/heat over each segment.
Common distractors
forgets net zero cycle
Computes only one segment's W
Identify P-V diagram or temperature behaviour of isothermal vs adiabatic process. Adiabatic: PV^gamma; isothermal: PV.
Common distractors
swaps adiabatic isothermal curves
Confuses which curve is steeper
Sources
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