Excited states of noninteracting Fermion and Bose systems

See attached file.

For a gas obeying the Maxwell velocity distribution obtain

Please see attached file. 1. For a gas obeying the Maxwell velocity distribution obtain: a) The most probable speed of the particles b) The most probable Kinetic Energy of the particles c) The mean speed of the particles d) The root mean squared speed of the particles the mean kinetic energy of the particles 2. For a classical ideal gas at temperature T , calculate the average value of (|P|)^.5 where P is the momentum of a particle.

Take P(x) to be the Gaussian distribution

Please see the attached file.

Enumerate all the microstates and macrostates for an assembly of three particles fixed in position with levels, 0, e, 2e, 3e, and a total energy of 3e.

Y this is a very involved prob set. Need good explanations. Be Well 1. Enumerate all the microstates and macrostates for an assembly of three particles fixed in position with levels, 0, e, 2e, 3e, and a total energy of 3e. What is the least and what is the most probable distribution of energy? What is the average distribution of energy? 2. 1200 distinguishable particles are to be distributed among 3 energy states with energies= 1 eV, 62 2 eV, and 63 3 eV. Assume that the total energy is 2400 eV and that each possible microstate is equally probable. What is the probability distribution of particles in state 1? (Hint: first find the most likely value of N1, the number of part... click for more

Could you please show how to find a formula for the partition function of a dilute ideal gas of N spinless particles of mass m in a volume V at a temperature T?

Could you please show how to find a formula for the partition function of a dilute ideal gas of N spinless particles of mass m in a volume V at a temperature T?