Physics Homework Solutions

Laws of thermodynamics: Definition of temperature and thermodynamic terms.

Explain the important laws of thermodynamics and their physical aspects.

isothermal expansion of a gas and change in entropy

One-gram molecule of a gas expands isothermally to four times its volume. Calculate the change in entropy in terms of the gas constant.

Laws of thermodynamics : Changes in internal energy.

The specific heat of air at constant volume is 0.175 cal/gm deg Celsius a) By how much does the internal energy of 5 gm of air change as it is heated from 20 deg to 400 deg? (b) Suppose that 5gm of air is adiabatically compressed so as to raise its temperature from 20deg to 400 deg. How much work must be done on the air to ...continues

Distribution of Velocities in a Gas (Maxwellian Distribution)

Show that the distribution of velocities in an ideal gas is Maxwellian. See attached file for full problem description.

On an infinite square lattice one places bonds on the edges of the lattice with probability 1/2. What is the probability that two nearest neighbor vertices are connected?

On an infinite square lattice one places bonds on the edges of the lattice with probability 1/2. What is the probability that two nearest neighbor vertices are connected?

Derive the magnetization and the susceptibility of a system of N non-interacting magnetic dipoles in the presense of an external magnetic field in the high temperature limit.

By evaluating the canonical partition function, derive the magnetization and the susceptibility of a system of N non-interacting magnetic dipoles in the presense of an external magnetic field in the high temperature limit.

hard sphere collision theory preexponential factor - thought question

The pre-exponential factor of the reaction rate coefficient found by hard sphere collision theory is dependent on temperature. However, in the Arrhenius equation, the pre-exponential factor is independent of temperature. How do you explain this?

Maxwell Boltzmann translational energy distribution

Sketch (schematically) the Maxwell Boltzmann translational energy distribution and label the energy axis as best you can in any energy units that you choose.

Harmonic function used to compute vibrational energy states

Why can a harmonic function be used to compute vibrational energy states for a DIATOMIC molecule, and under what conditions are the computed values inaccurate?

Sketch Maxwell-Boltzmann translational energy distribution

Sketch (schematically) the Maxwell Boltzmann translational energy distribution and label the energy axis as best you can in any energy units that you choose. I AM LOOKING FOR A GRAPH. You can sketch it by hand and scan or take a digital photo if you wish, and I'd like to know where the Maximum of the curve is on the X-axis ( ...continues

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