Answered: 1- An ideal gas consisting of N mass… | bartleby

Related questions

Question

1- An ideal gas consisting of N mass points is contained in a box of volume V. Find the number
of states (phase integral) A,(E) classically and, using it, derive the equation of state. (Hint: The
volume of a unit sphere is a n-dimensional space is equal to

Expert Solution

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

2 Thermo Physics The ground state of Cyanogen gas (Energy = 0 eV) and 1st excited state is (E = 4.7x10^-4eV) can be separately identified by their spectra. An astronomer determines that on interstellar gas has a ratio of 10:1. 10 molecules of cyanogen gas to every 1 excited state. Use this to determine the temperature of the gas?
V₁₂: V₁ = 4:1 V₁ V₂ There are 6 molecules of a gas in V₂ and none in V₁. Now a hole i made in partition. Find the probability of finding 3 molecules on each side of the partition.
Near the surface of a certain kind of star, approximately one hydrogen atom per 10 million is in the first excited level (n = 2). Assume that the other atoms are in the n = 1 level. Use this information to estimate the temperature there, assuming that Maxwell-Boltzmann statistics are valid.
Q2/ For the harmonic oscillator in classical limit, if the partition function is given by Z(B) = 1/(ßħw)N, find the entropy and internal energy. Q3/ Prove that F = -KTlnz .
how do I calculate an average energy when there are three psi unknowns? PSI= c1*psi1(x) + c2*psi2(x) + c3*psi3(x) also, how do I calculate probability when there is an energy given?
Atoms can be "cooled" to incredibly low temperatures by letting them interact with a laser beam. Various novel quantum phenomena appear at these temperatures. What is the rms speed of cesium atoms that have been cooled to a temperature of 100 nK ? Express your answer with the appropriate units.
Problem 2) Consider the following Maxwell Boltzmann distribution of molecular speeds: P(v) = 4( m 27kBT. mp² v²e 2kgT To calculate average values for say f(v) (function of v) one just integrates f(v) with P(v)dv from zero to infinity = P(v)f(v)dv, where signifies average of f(v). Of course, the distribution should be normalized: P(v)dv=1, (is a requirement for any probability distribution). a) Check the last equation. b) Calculate the average of v. c) Calculate the average of v². d) Calculate from c) the RMS value of the speed. e) Calculate the most probable value of v. f) Square the results of b, d and e and rank them from smallest to the largest value.