Question

A system consists of N = 106 particles that can occupy two energy levels: a nondegenerate...

A system consists of N = 106 particles that can occupy two energy levels: a nondegenerate ground state and a three-fold degenerate excited state, which is at an energy of 0.25 eV above the ground state. At a temperature of 960 K, find the number of particles in the ground state and in the excited state.

Homework Answers

Answer #1

Cheers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A system consists of N weakly interacting subsystems. Each subsystem possesses only two energy levels E1...
A system consists of N weakly interacting subsystems. Each subsystem possesses only two energy levels E1 and E2 each of them non-degenerate. (i) Draw rough sketches (i.e. from common sense, not from exact mathematics) of the temperature dependence of the mean energy and of the heat capacity of the system. (ii) Obtain an exact expression for the heat capacity of the system.
A. Consider a hydrogen atom with one electron and quantized energy levels. The lowest energy level...
A. Consider a hydrogen atom with one electron and quantized energy levels. The lowest energy level (n = 1) is the ground state, with energy -13.6 eV. There are four states corresponding to the next lowest energy (n = 2), each with energy-3.4 eV. For the questions below, consider one of these four states, called one of the first excited states. 2. Assume that this hydrogen atom is present in a gas at room temperature (T ~ 300 K, kBT...
Suppose that a molecle has just two energy levels. The ground state is singly degenerate and...
Suppose that a molecle has just two energy levels. The ground state is singly degenerate and the excited state is triply degerate. If the enrgy difference between the two states (on a molar basis) is 52 kJ/mol at what temperature will the two states be equally populated? QUANTUM CHEMISTRY
A molecule has three degenerate excited vibrational states, each with excitation energy ? above the ground...
A molecule has three degenerate excited vibrational states, each with excitation energy ? above the ground state. a) At temperature T, what is the ratio between the number of molecules in (all of) these vibrational states and the number in the ground state? b) At very high T, what is this ratio? c) Assume you have N distinguishable molecules of this type. Use the free energy to compute entropy S/k of the system at temperature T d) Compute the number...
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0,...
Consider a system of 2 particles and 4 non-degenerate energy levels with energies 0, E0, 2E0, 3E0, and 4E0. Taking into account the various ways the particles can fill those energy states, draw schemes of all the possible configurations with total energy E = 4E0 for the following cases: (a) The two particles are distinguishable. (b) The two particles are indistinguishable bosons. (c) The two particles are indistinguishable fermions.
Consider a system of N distinguishable atoms, each of which can be in only one of...
Consider a system of N distinguishable atoms, each of which can be in only one of two states: the lowest energy state with energy 0, and an excited state with energy ɛ > 0. When there are n atoms in the excited state (and N-1 atoms in the lowest state), the total energy is U = nɛ. 1. Calculate the entropy S/k = ln(Ω(n)) and find the value of n for which it is maximum. 2. Find an expression for...
a system has two non-degenerate energy levels. energy gap is 0.1eV. calculate the probability that the...
a system has two non-degenerate energy levels. energy gap is 0.1eV. calculate the probability that the system is in the higher energy level, when it is in thermal equilibrium with a heat reservoir of absolute temperature i- 300K ii-600K iii-1000K iv- 10000K at what temperature is the probability equal to (v) 0.25 (vi) 0.4 (vii) 0.49
1. A molecule has a ground state and two excited electronic energy levels all of which...
1. A molecule has a ground state and two excited electronic energy levels all of which are not degenerate. The energies of the three states are E = 0, E1 = 1x10^-20 J and E2 = 2x10^-20 J. Calculate the partition functions at 298 and 1000K. What fraction of the molecules is in each of the three states at these temperatures?
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and...
Consider a system of distinguishable particles with five states with energies 0, ε, ε, ε, and 2ε (degeneracy of the states has to be determined from the given energy levels). Consider ε = 1 eV (see table for personalized parameters) and particles are in equilibrium at temperature T such that kT =0.5 eV: (i) Find the degeneracy of the energy levels and partition function of the system. (iii) What is the energy (in eV) of N = 100 (see table)...
A hydrogen atom is initially at n=2 excited state and then absorbs energy 2.55 eV. The...
A hydrogen atom is initially at n=2 excited state and then absorbs energy 2.55 eV. The excited state is unstable, and it tends to finally return to its ground state. (a) How many possible wavelengths will be emitted as the atom returns to its ground state? draw a diagram of energy levels to illustrate answer     Answer: (number) ________    (b) Calculate the shortest wavelength emitted.        Answer: ________