JEE Main & Advanced / Physics / Chapter 13

Kinetic Theory and Thermodynamics

Develop the microscopic and macroscopic view together: gas models, thermal processes, first law, and engine efficiency.

Original Notes2 Core SectionsJEE Revision Style
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JEE Intro

How to Think About Kinetic Theory and Thermodynamics

Develop the microscopic and macroscopic view together: gas models, thermal processes, first law, and engine efficiency.

This chapter is written as original Learn at My Place teaching copy. The aim is to give you the JEE decision-making layer: what equation to trust, what approximation is valid, and where exam traps usually appear.

Read the full note once, then revisit the quick revision block before solving your own practice questions.

Problem Method

How to Solve Kinetic Theory and Thermodynamics Questions

1. Model the Situation

Draw the body, path, field, graph, or interaction first. Label known quantities and choose sign convention before writing equations.

2. Pick the Governing Law

Decide whether the problem is about conservation, force balance, energy, momentum, fields, or graph interpretation.

3. Check the Edge Case

Verify units, limiting values, direction, and whether approximation assumptions are valid for JEE Main and Advanced options.

Section A

Notes: Kinetic Theory and Thermodynamics

Original teaching copy for Learn at My Place

1. Kinetic Theory and Ideal Gas Law

Kinetic theory explains pressure as a macroscopic effect of molecular collisions. The key relation is:

P=13ρcrms2P = \frac13\rho c_{rms}^2

The ideal gas equation is:

PV=nRT=NkBTPV = nRT = Nk_B T
and the average translational kinetic energy per molecule is:
12mcrms2=32kBT\frac12 mc_{rms}^2 = \frac32 k_B T

2. Thermodynamic Processes and First Law

Work done by a gas is area under the PP-VV graph:

W=PdVW = \int P\,dV
Isothermal, adiabatic, isobaric, and isochoric processes differ by which variable stays fixed.

The first law is:

ΔQ=ΔU+W\Delta Q = \Delta U + W
For ideal gas in isothermal process, ΔU=0\Delta U=0. Heat-engine efficiency is always less than 1, with Carnot efficiency giving the theoretical upper limit.

Quick Revision

Last 5-Minute Recall

JEE exam rule: First identify the governing principle. Most errors happen because students choose the wrong framework before they start the algebra.
Kinetic theory assumptions and pressure interpretation
Ideal gas law and rms speed
Thermodynamic processes and P-V work
First law and efficiency ideas
Verified question bank

Kinetic Theory and Thermodynamics questions with answers

Open any of these 99 quality-checked JEE questions to review all four options, the correct answer, and the worked explanation.

  1. Question 1 · EasyIdeal Gas
  2. Question 2 · EasyKinetic Theory
  3. Question 3 · EasyKTG Assumptions
  4. Question 4 · MediumPressure and KE
  5. Question 5 · MediumTemperature and KE
  6. Question 6 · MediumRMS Speed
  7. Question 7 · MediumSpeeds
  8. Question 8 · MediumDegrees of Freedom
  9. Question 9 · MediumEquipartition
  10. Question 10 · MediumIdeal Gas
  11. Question 11 · HardRMS Speed
  12. Question 12 · HardPressure and KE
  13. Question 13 · HardMean Free Path
  14. Question 14 · HardDegrees of Freedom
  15. Question 15 · HardIdeal Gas
  16. Question 16 · HardSpeeds
  17. Question 17 · HardMean Free Path
  18. Question 18 · HardIdeal Gas
  19. Question 19 · HardKTG Assumptions
  20. Question 20 · HardEquipartition
  21. Question 21 · EasyFirst Law
  22. Question 22 · EasyFirst Law
  23. Question 23 · EasyIsothermal Process
  24. Question 24 · EasyAdiabatic Process
  25. Question 25 · MediumIsochoric Process
  26. Question 26 · MediumIsobaric Process
  27. Question 27 · MediumSecond Law
  28. Question 28 · MediumEntropy
  29. Question 29 · MediumCarnot Engine
  30. Question 30 · MediumHeat Engines
  31. Question 31 · HardAdiabatic Process
  32. Question 32 · HardCarnot Engine
  33. Question 33 · HardEntropy
  34. Question 34 · HardPV Diagrams
  35. Question 35 · HardFirst Law
  36. Question 36 · HardSpecific Heat
  37. Question 37 · HardHeat Engines
  38. Question 38 · HardAdiabatic Process
  39. Question 39 · HardSecond Law
  40. Question 40 · HardEntropy
  41. Question 41 · EasyWork in Processes
  42. Question 42 · EasyAdiabatic Work
  43. Question 43 · EasyPV Diagrams
  44. Question 44 · MediumAdiabatic vs Isothermal
  45. Question 45 · MediumWork in Processes
  46. Question 46 · MediumCarnot Cycle
  47. Question 47 · MediumSpecific Heat
  48. Question 48 · MediumPV Diagrams
  49. Question 49 · MediumHeat Engine
  50. Question 50 · MediumRefrigerator
  51. Question 51 · HardAdiabatic Process
  52. Question 52 · HardEntropy
  53. Question 53 · HardPV Diagrams
  54. Question 54 · HardCarnot Cycle
  55. Question 55 · HardFirst Law
  56. Question 56 · HardEntropy
  57. Question 57 · HardSpecific Heat
  58. Question 58 · HardPV Diagrams
  59. Question 59 · HardHeat Engine
  60. Question 60 · HardThird Law
  61. Question 61 · EasyIdeal Gas
  62. Question 62 · EasyFirst Law
  63. Question 63 · MediumCarnot Engine
  64. Question 64 · MediumRMS Speed
  65. Question 65 · MediumPV Diagrams
  66. Question 66 · MediumSpecific Heat
  67. Question 67 · MediumIsothermal Process
  68. Question 68 · MediumMean Free Path
  69. Question 69 · HardSecond Law
  70. Question 70 · HardAdiabatic Process
  71. Question 71 · HardCarnot Engine
  72. Question 72 · HardKinetic Theory
  73. Question 73 · HardSpecific Heat
  74. Question 74 · HardThermodynamics
  75. Question 75 · HardIdeal Gas
  76. Question 76 · HardHeat Engine
  77. Question 77 · HardKTG
  78. Question 78 · HardEntropy
  79. Question 79 · HardAdiabatic Process
  80. Question 80 · HardThermodynamics
  81. Question 81 · HardKTG Advanced
  82. Question 82 · HardThermodynamics Advanced
  83. Question 83 · HardEntropy Advanced
  84. Question 84 · HardPV Diagrams Advanced
  85. Question 85 · HardReal Gases
  86. Question 86 · HardQuantum Effects
  87. Question 87 · HardThermodynamics Advanced
  88. Question 88 · HardEntropy Advanced
  89. Question 89 · HardKTG Advanced
  90. Question 90 · HardThermodynamic Cycles
  91. Question 91 · HardCarnot Advanced
  92. Question 92 · HardEntropy Advanced
  93. Question 93 · HardReal Gases
  94. Question 94 · HardKTG Advanced
  95. Question 95 · HardThermodynamics Advanced
  96. Question 96 · HardPV Diagrams Advanced
  97. Question 97 · HardEntropy Advanced
  98. Question 98 · HardKTG Advanced
  99. Question 99 · HardThermodynamic Cycles
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