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. Very Detailed Explanation please.
Homework Answers
Add Answer to:
A system consists of N weakly interacting subsystems. Each
subsystem possesses only two energy levels E1...
need help with thermodynamics A system consists of N weakly interacting particles, each of which can...
need help with thermodynamics
A system consists of N weakly interacting particles, each of which can be in either of two states with respective energies e and 2. where e1 2 1. Without explicit calculation, make a qualitative plot of the mean energy U the entropy S of the system as a function of its temperature T. What is in the limit of very low and very high temperatures? What is S in the limit of very low and very...
2. A system consists of N very weakly interacting particles at a temperature T high enough...
2. A system consists of N very weakly interacting particles at a temperature T high enough that classical statistical mechanics is applicable. Each particle is fixed in space, has mass m, a. Calculate the heat capacity of this system of particles at this temperature in each of the i. The effective restoring force has magnitude κ x, where x is the displacement from and is free to perform one-dimensional oscillations about its equilibrium position. following cases: equilibrium. The effective restoring...
2. Consider an isolated system consisting of a large number N of very weakly interacting localized...
2. Consider an isolated system consisting of a large number N of very weakly interacting localized particles of spin 1 2. Each particle has a rnagnetic mioment μ which can point parallel or anti-parallel to an applied field H. The energy E of the systern is then E =-(ni-n2):1H, antiparallel to H. (a) Consider the energy range between E and E+δΕ where δΕ < E but is microscopically large so that δΕ μΗ. What is the total number of states...
Problem 4: [12 points] There are two systems, each consisting of a large number of interacting at...
Problem 4: [12 points] There are two systems, each consisting of a large number of interacting atoms. For system 1 the entropy as a function of energy is S,-AE1/2, while for system 2 we have S,-BEV4 Here A and B are constants. The two systems are now placed in thermal contact, and allowed to reach equilibrium. a) [6 points Evauate E2 as a function of A, B, and E1 b) [6 points] What is the heat capacity of system 1...
Artificial rubies have an atomic system consisting of three main energy levels and can be used to...
Artificial rubies have an atomic system consisting of three main energy levels and can be used to produce short pulses of laser light. The energies of these levels are Eo, E1 and E2, in increasing order of energy (a) Write down an expression giving the relative population of the energy levels Eo and E1 at thermal equilibrium. b) Explain what is meant by the term population inversion. Described how this is achieved in a three-level laser system Photons of wavelength...
Consider a collection of N indistinguishable molecules with only two energy levels: E2 = E _________________...
Consider a collection of N indistinguishable molecules with only two energy levels: E2 = E _________________ g = 4 E1 = 0 _________________ g = 2 Derive an expression for S, the entropy of this system. Be sure to indicate clearly all of the important steps in the derivation.
need help with thermodynamics
A system consists of N weakly interacting particles, each of which can be in either of two states with respective energies e and 2. where e1 2 1. Without explicit calculation, make a qualitative plot of the mean energy U the entropy S of the system as a function of its temperature T. What is in the limit of very low and very high temperatures? What is S in the limit of very low and very...
2. A system consists of N very weakly interacting particles at a temperature T high enough that classical statistical mechanics is applicable. Each particle is fixed in space, has mass m, a. Calculate the heat capacity of this system of particles at this temperature in each of the i. The effective restoring force has magnitude κ x, where x is the displacement from and is free to perform one-dimensional oscillations about its equilibrium position. following cases: equilibrium. The effective restoring...
2. Consider an isolated system consisting of a large number N of very weakly interacting localized particles of spin 1 2. Each particle has a rnagnetic mioment μ which can point parallel or anti-parallel to an applied field H. The energy E of the systern is then E =-(ni-n2):1H, antiparallel to H. (a) Consider the energy range between E and E+δΕ where δΕ < E but is microscopically large so that δΕ μΗ. What is the total number of states...
Problem 4: [12 points] There are two systems, each consisting of a large number of interacting atoms. For system 1 the entropy as a function of energy is S,-AE1/2, while for system 2 we have S,-BEV4 Here A and B are constants. The two systems are now placed in thermal contact, and allowed to reach equilibrium. a) [6 points Evauate E2 as a function of A, B, and E1 b) [6 points] What is the heat capacity of system 1...
Artificial rubies have an atomic system consisting of three main energy levels and can be used to produce short pulses of laser light. The energies of these levels are Eo, E1 and E2, in increasing order of energy (a) Write down an expression giving the relative population of the energy levels Eo and E1 at thermal equilibrium. b) Explain what is meant by the term population inversion. Described how this is achieved in a three-level laser system Photons of wavelength...
Most questions answered within 3 hours.
-
17) Complete the following by balancing the chemical
reactions:
(a) H2(g) + N2(g) → NH3(g)
(b)...
asked 24 seconds ago -
When performing a hypothesis test for the ratio of two
population variances, the upper critical F...
asked 6 minutes ago -
You are considering buying a call option for Bernie Bros, a
company that is building a...
asked 6 minutes ago -
How are the concepts of microevolution and macroevolution
linked?
asked 16 minutes ago -
Two vectors, given in unit vector notation, are A = 5i + 4j + 3k
and...
asked 19 minutes ago -
Let C = (2.25 m, 15 ∘ above the negative x-axis) and D = (30.6
m,...
asked 32 minutes ago -
Use the following information to answer the question:
Coupon Rate = 6% Face Value = $1,000...
asked 26 minutes ago -
Based on the assigned readings, complete this sentence: “Mutual
respect and understanding are built one _____...
asked 18 minutes ago -
complete the problem and solution paragraph below, include 2-3
causes and 2-3 solutions for them.
remember...
asked 39 minutes ago -
Find the magnetic field (in cylindrical coordinates) both inside
and outside of a very long cylindrical...
asked 24 minutes ago -
of the following statements below is/are an example of a
normative statement?
I. The water shortage...
asked 33 minutes ago -
Carbon disulfide is prepared by heating sulfur and charcoal. The
chemical equation is
S2(g)+C(s)−⇀↽−CS2(g) Kc=9.40 at...
asked 37 minutes ago