Kinetic Theory
Class 11 Physics · Physics Part II · Chapter 5
CBSE Class 11 community
View all
Physics, Chemistry, Maths + English
7~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Every subject, one purchase- Mathematics
- Physics
- + 3 more
Physics, Chemistry, Biology + English
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Every subject, one purchase- Physics
- Chemistry
- + 3 more
Physics
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Physics
Accountancy, Business Studies, Economics + English
7~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Every subject, one purchase- Accountancy
- Business Studies
- + 3 more
Physics
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Physics
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Accountancy
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Accountancy
Hindi Elective
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- हिंदी
Hindi Core
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- हिंदी
Chemistry
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Chemistry
Political Science
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Political Science
Urdu Elective
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- اردو
- Urdu Elective
Hindustani Music (Vocal / Melodic)
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- हिंदुस्तानी संगीत
Home Science
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Home Science
English Core
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Hornbill
- Snapshots
Geography
3~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 3 books, one purchase- Geography
Sociology
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Sociology
Economics
2~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
All 2 books, one purchase- Economics
Mathematics
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
TrendingRevise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Chemistry
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Chemistry
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Biology
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Accountancy
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
TrendingRevise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Accountancy
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Business Studies
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Economics
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Economics
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
History
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Geography
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Geography
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Geography
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Political Science
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Political Science
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Sociology
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Sociology
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Psychology
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
English Core · Hornbill
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
English Core · Snapshots
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
English Elective · Woven Words
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
हिंदी (आधार)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
हिंदी (आधार)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
हिंदी (ऐच्छिक)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
हिंदी (ऐच्छिक)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
संस्कृतम् (केन्द्रिकम्)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
संस्कृत (ऐच्छिक)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
اردو (کور)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
اردو (اختیاری)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Urdu Elective
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Computer Science
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Informatics Practices
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
TrendingRevise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Home Science
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Home Science
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Fine Art · Painting
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Biotechnology
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Knowledge Traditions
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
सृजनात्मक लेखन और अनुवाद
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Health and Physical Education
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
हिंदुस्तानी संगीत (गायन / वादन)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
हिंदुस्तानी संगीत (गायन / वादन)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
हिंदुस्तानी संगीत (तबला / पखावज)
~140days leftAnnual exams · school dates varyFeb–Mar 2027 · school-specific · tentative
Revise all of it in about an hour- Space weighted by unit marks
- Charts from the book's own data
- Traps corrected
Summary
Kinetic theory explains the behaviour of gases by treating them as large numbers of tiny molecules in rapid, random motion, with intermolecular forces negligible except during brief elastic collisions. Matter is made of atoms about an angstrom in size; in gases the molecules are far apart, so the mean free path is large. Gases at low pressure and high temperature obey the ideal-gas equation \(PV=\mu RT=k_B NT\), which embodies Boyle's law, Charles' law, Avogadro's hypothesis and Dalton's law of partial pressures. From the assumption of elastic molecular collisions with the walls, the pressure of an ideal gas is derived as \(P=\tfrac13 nm\overline{v^{2}}\), leading to the kinetic interpretation of temperature: the average translational kinetic energy of a molecule is \(\tfrac32 k_B T\), independent of the gas, and the root-mean-square speed is \(v_{rms}=\sqrt{3k_B T/m}\). The law of equipartition of energy assigns \(\tfrac12 k_B T\) to each degree of freedom, explaining the molar specific heats of monatomic, diatomic and polyatomic gases and of solids. The mean free path \(l=1/(\sqrt2\,\pi n d^{2})\) is the average distance a molecule travels between collisions and accounts for diffusion, viscosity and conduction in gases.
Molecular nature of matterBehaviour of gases and the ideal-gas equationKinetic theory of an ideal gas and pressureKinetic interpretation of temperature and rms speedLaw of equipartition of energySpecific heat capacity of gases and solidsMean free path
Key terms
Ideal gas
A theoretical gas that obeys \(PV=\mu RT\) exactly at all pressures and temperatures; real gases approach it at low pressure and high temperature.
Boltzmann constant
The constant \(k_B=R/N_A=1.38\times10^{-23}\ \text{J K}^{-1}\) linking molecular energy to temperature.
Root-mean-square speed
The square root of the mean of the squared molecular speeds, \(v_{rms}=\sqrt{3k_B T/m}\).
Degree of freedom
An independent way in which a molecule can possess energy — translational, rotational or vibrational.
Law of equipartition of energy
In equilibrium, energy is shared equally among all degrees of freedom, each contributing \(\tfrac12 k_B T\).
Mean free path
The average distance a molecule travels between successive collisions, \(l=1/(\sqrt2\,\pi n d^{2})\).
Extra questions & answers
Try one from this chapter
In kinetic theory, collisions between gas molecules are assumed to be: