Thermodynamics and Statistical Mechanics Kinetic Theory of Gases
- Slides: 34
Thermodynamics and Statistical Mechanics Kinetic Theory of Gases Thermo & Stat Mech Spring 2006 Class 14 1
Mixing of Two Ideal Gases Change of Gibbs Function An expression is needed for the specific Gibbs function. Thermo & Stat Mech - Spring 2006 Class 14 2
Specific Gibbs Function Thermo & Stat Mech - Spring 2006 Class 14 3
Specific Entropy Thermo & Stat Mech - Spring 2006 Class 14 4
Specific Gibbs Function Thermo & Stat Mech - Spring 2006 Class 14 5
Specific Gibbs Function Thermo & Stat Mech - Spring 2006 Class 14 6
Mixing of Two Ideal Gases Thermo & Stat Mech - Spring 2006 Class 14 7
For the Same Pressure Thermo & Stat Mech - Spring 2006 Class 14 8
For the Same Pressure Thermo & Stat Mech - Spring 2006 Class 14 9
For the Same Volume Thermo & Stat Mech - Spring 2006 Class 14 10
For the Same Volume Thermo & Stat Mech - Spring 2006 Class 14 11
Basic Assumptions 1. A macroscopic volume contains a large number of molecules. 2. The separation of molecules is large compared to molecular dimensions. 3. No forces exist between molecules except those associated with collisions 4. The collisions are elastic. Thermo & Stat Mech - Spring 2006 Class 14 12
Basic Assumptions When no external forces are applied: 5. The molecules are uniformly distributed within a container. 6. The directions of the velocities of the molecules are uniformly distributed. The fraction of molecules with speeds in the range v to v + dv is: f (v) dv Thermo & Stat Mech - Spring 2006 Class 14 13
Molecular Speeds f (v) is the probability density. Thermo & Stat Mech - Spring 2006 Class 14 14
Gas Pressure Thermo & Stat Mech - Spring 2006 Class 14 15
Gas Pressure Thermo & Stat Mech - Spring 2006 Class 14 16
Gas Pressure Thermo & Stat Mech - Spring 2006 Class 14 17
Molecular Flux Thermo & Stat Mech - Spring 2006 Class 14 18
Molecular Flux Thermo & Stat Mech - Spring 2006 Class 14 19
Molecular Flux Thermo & Stat Mech - Spring 2006 Class 14 20
Gas Pressure Thermo & Stat Mech - Spring 2006 Class 14 21
Ideal Gas Law Thermo & Stat Mech - Spring 2006 Class 14 22
Molecular Kinetic Energy Thermo & Stat Mech - Spring 2006 Class 14 23
Equipartition of Energy Thermo & Stat Mech - Spring 2006 Class 14 24
Internal Energy Thermo & Stat Mech - Spring 2006 Class 14 25
Heat Capacities Thermo & Stat Mech - Spring 2006 Class 14 26
Maxwell Velocity Distribution Consider a gas at equilibrium. The number of molecules in any range of velocity does not change. Collisions cause individual molecules to change velocity, but the distribution does not change. For every collision that changes the distribution, there must be one that changes it back. Thermo & Stat Mech - Spring 2006 Class 14 27
Molecular Collisions Thermo & Stat Mech - Spring 2006 Class 14 28
Molecular Collisions Thermo & Stat Mech - Spring 2006 Class 14 29
Maxwell Distribution Thermo & Stat Mech - Spring 2006 Class 14 30
Evaluation of Constants Thermo & Stat Mech - Spring 2006 Class 14 31
Maxwell Distribution Thermo & Stat Mech - Spring 2006 Class 14 32
Maxwell Distribution Thermo & Stat Mech - Spring 2006 Class 14 33
Some Molecular Speeds Thermo & Stat Mech - Spring 2006 Class 14 34
- Thermodynamics and statistical mechanics
- Thermodynamics and statistical mechanics
- Kinetic molecular model of gases
- Kinetic particle model
- Kinetic theory of gases
- Kinetic theory of gases postulates
- Kinetic theory of gases
- Write postulates of kinetic theory of gases
- Write postulates of kinetic theory of gases
- Kinetic theory
- First law of thermodynamics for ideal gas
- Statistical thermodynamics in chemistry
- Statistical thermodynamics
- Macrostate and microstate in statistical mechanics
- Partition function in statistical mechanics
- Statistical mechanics
- Equipartition theorem proof
- Partition function in statistical mechanics
- Partition function
- Partition function in statistical mechanics
- Introduction to quantum statistical mechanics
- Statistical mechanics of deep learning
- Statistical mechanics
- Molecular theory of gases and liquids
- Kinetic molecular theory of solid
- Kinetic molecular theory of liquids and solids
- Fugacity coefficient
- The kinetic theory of matter states that
- Kinetic theory of matter definition
- Kinetic theory of matter
- The kinetic theory explains how particles in matter behave
- Kinetic molecular theory volume
- Kinetic molecular theory of liquids
- Kinetic molecular theory
- Kinetic theory def