Kinetic Theory of Gases — Concept Maps
NIOS · Class 12 · Physics
4 concept maps of Kinetic Theory of Gases for NIOS Class 12 Physics, each also written out as a text outline. Part of the NIOS Class 12 Physics syllabus.
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Kinetic Theory of Gases - Concept Hierarchy
The map in words
- Kinetic Theory of Gases
- Thermal Properties
- Heat Capacity
- Specific Heat
- Molar Heat
- Calorimetry
- Heat Transfer
- Principle
- Thermal Expansion
- Linear Alpha
- Areal Beta
- Volumetric Gamma
- Anomalous Water
- Heat Capacity
- Molecular Motion
- Assumptions
- Elastic Collisions
- Random Motion
- Negligible Forces
- Point Masses
- Pressure Derivation
- Momentum Change
- Collision Rate
- PV equation
- Temperature
- Kinetic Energy
- Boltzmann Constant
- Absolute Zero
- Assumptions
- Gas Laws
- Boyle's Law
- PV constant
- Charles's Law
- V proportional T
- Gay-Lussac's Law
- P proportional T
- Avogadro's Law
- Equal Molecules
- Dalton's Law
- Partial Pressures
- Graham's Law
- Diffusion Rate
- Boyle's Law
- Energy Distribution
- Degrees of Freedom
- Translational
- Rotational
- Vibrational
- Equipartition Law
- (1/2)kT per degree
- Heat Capacities
- Cv constant volume
- Cp constant pressure
- Cp - Cv = R
- Degrees of Freedom
- Thermal Properties
Kinetic Theory of Gases — Complete Chapter Overview
The map in words
- Kinetic Theory of Gases
- Thermal Properties
- Specific Heat C = dQ divided by m dT
- Calorimetry Heat Lost = Heat Gained
- Thermal Expansion
- Linear alpha
- Superficial beta = 2 alpha
- Cubical gamma = 3 alpha
- Anomalous Expansion of Water
- Max density at 4 degree C
- Assumptions of Kinetic Theory
- Large number of identical molecules
- Perfectly elastic collisions
- Negligible molecular size
- Straight line motion between collisions
- Negligible collision time
- Uniform distribution
- Pressure Derivation
- P = one third rho c squared
- PV = one third Mc squared
- Macroscopic meets Microscopic
- Kinetic Interpretation of Temperature
- Half m c squared = 3 by 2 kT
- k = Boltzmann Constant
- c rms = root of 3RT divided by M
- Absolute Zero means zero KE
- Gas Laws from Kinetic Theory
- Boyles Law PV = constant
- Charle Law V proportional T
- Gay Lussac Law P proportional T
- Avogadro Law N1 = N2
- Dalton Law P = P1 + P2 + P3
- Graham Law rate proportional 1 by root rho
- Degrees of Freedom
- Monoatomic f = 3
- Diatomic f = 5
- Triatomic f = 6
- Equipartition one half kT per DOF
- Specific Heats of Gases
- Cv at constant volume
- Cp at constant pressure
- Cp minus Cv = R
- Gamma = Cp divided by Cv
- Brownian Motion
- Random zig-zag motion
- Caused by molecular impacts
- Evidence for kinetic theory
- Mean Free Path sigma
- Thermal Properties
Kinetic Theory of Gases — Complete Concept Map
The map in words
- root((Kinetic Theory
- of Gases))
- Thermal Concepts
- Specific Heat C
- Calorimetry
- Heat Lost = Heat Gained
- Thermal Expansion
- Alpha Linear
- Beta = 2Alpha Superficial
- Gamma = 3Alpha Cubical
- Anomalous Expansion
- Water densest at 4 Celsius
- Assumptions
- Random Identical Molecules
- Negligible Intermolecular Forces
- Size Negligible
- Straight Line Motion
- Elastic Collisions
- Uniform Distribution
- Pressure Derivation
- P = one-third rho c-squared
- PV = one-third N m c-squared
- Momentum Change = 2mu
- Temperature and KE
- KE = three-halves kT
- c-rms = root 3RT over M
- Boltzmann k = 1.38 x 10-23
- Gas Laws
- Boyle PV = constant
- Charles V proportional T
- Gay-Lussac P proportional T
- Avogadro Equal V Equal N
- Dalton P = P1 + P2 + P3
- Graham Rate = 1 over root rho
- Degrees of Freedom
- Monoatomic 3
- Diatomic 5
- Triatomic 6
- Equipartition half kT each
- Heat Capacities
- cv Constant Volume
- cp Constant Pressure
- cp - cv = R Mayer Relation
- Monoatomic cv = 3R over 2
- Diatomic cv = 5R over 2
- Brownian Motion
- Zigzag Random Path
- Due to Molecular Impacts
- Evidence for Kinetic Theory
- Mean Free Path
- sigma = 1 over root2 n pi d-squared
- Thermal Concepts
Kinetic Theory of Gases
The map in words
- Kinetic Theory of Gases
- Thermal Energy
- Assumptions of Kinetic Theory
- Gas Pressure Derivation
- Kinetic Interpretation of Temperature
- Gas Laws from Kinetic Theory
- Degrees of Freedom
- Law of Equipartition of Energy
- Heat Capacities of Gases
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