Statistical Mechanics and Thermodynamics

Assignment Solutions in Statistical Mechanics and Thermodynamics for College and Graduate Students.

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Solutions in Statistical Mechanics and Thermodynamics:

Expansion of Argon as a Van der Waals Gas

Transition of a Gaseous System Through a Parabola

Equations Between Heat Capacities at Constant Pressure and Constant Volume

Critical Points of Berthelot Equation of State

Internal Energy of Canonical Ensemble and Helmholtz Free Energy

Energy Equation for Monoatomic Molecules Derived from Canonical Partition Function

Virial Equation for Monoatomic Molecules Derived from Canonical Partition Function

Rate of Change of Heat Capacity with Volume

Isothermal Expansion of Van der Waals Gas and Ideal Gas

Euler’s Theorem for Homogeneous Function

Rate of Change of Heat Capacity of Rubber Band with Length

Partial Pressures and Mole Fractions of Ethanol and Chloroform Solution

Gibbs Free Energy of Open System of Van der Waals Gas

Equilibrium Composition of the System of Water, Oxygen, Hydrogen

Composition of Ideal Mixture: Three-Component System

Undetermined Multipliers Method for Maximising Entropy

Undetermined Multipliers Method for Maximising Multinomial Distribution

A Molecule at Two Energy Levels

Energy and Entropy Density of Blackbody Radiation

Thermodynamic Degrees of Freedom

Second Term of Pressure Expansion for a Dilute Gas

Total Pressure of Equilibrium Mixture

Chemical Potential of Rubber Band

Virial Coefficients of Van der Waals Gas

Grand Canonical Ensemble: Partial Differential Equation between Average Pressure and Energy

Canonical Ensemble: Variance in Energy

Grand Canonical Ensemble: Variance in Number of Particles

Hydrogen Atom in a Box

Translational Partition Function of a Particle Confined in a Box

Ideal Binary Mixture: Average Translational Energy and Entropy

Occupancy of Energy Levels

Diatomic Molecules in an External Field

Equation of State of a Dense Gas

Proof of an Equation Between Energy and Heat Capacity

A Hypothetical Molecule

The Most Probable Distribution of Ideal Gas Molecules in Two Equal Volumes

Rotational and Vibrational Quantum Numbers: The Most Probable Values

Rotational and Vibrational Temperatures of HD and D2 Molecules

Moment of Inertia and Internuclear Separation in HBr by Rotational Spectrum

Entropy of Monatomic and Diatomic Ideal Gases

Dissociation Energy and Fundamental Vibrational Frequency of D2 and T2

Center of Mass, Three Moments of Inertia and Rotational Temperatures of Water Molecule

Equilibrium Constant for Na and Na2 Reaction Using Rotational and Vibrational Temperatures and Dissociation Energy

Isotopic Substitution in Diatomic Molecules

Second Virial Coefficient for Square-Well Potential

Second Virial Coefficient and the Boyle Temperature for Dieterici Equation of State

Planar Rotation of Two-Dimensional Ideal Gas of Heterodiatomic Molecules

Second Virial Coefficient of Molecules with Interacting Potential of Φ(r) = −ε ln(1 + A exp(−r/a))

Rotational Contributions to the Heat Capacities of Normal and Equilibrium Hydrogen at Low Temperatures

Equilibrium Constant for the Gas-Phase Dissociation of a Diatomic Molecule

Entropy and Translational Degeneracy of Neon

Partition Function and Heat Capacity of Two-State Particles

Problems and Solutions in Statistical Thermodynamics

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