Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Question
Chapter 9, Problem 33E
.
To determine
The proof that for limit of large numbers exact probability equation becomes Boltzmann probability.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
How does the Boltzmann distribution and statistics explain the behavior of an ideal gas in terms of the distribution of molecular energies and the probability of various energy states?
Define the Partition Function using Boltzmann factors ?
P2D.8 Use the fact that (∂U/∂V)T = a/Vm2for a van der Waals gas (Topic 1C)to show that μCp,m ≈ (2a/RT) − b by using the definition of μ and appropriaterelations between partial derivatives. Hint: Use the approximation pVm ≈ RTwhen it is justifiable to do so.
Chapter 9 Solutions
Modern Physics
Ch. 9 - Prob. 1CQCh. 9 - What information would you need in order to...Ch. 9 - Given an arbitrary thermodynamic system, which is...Ch. 9 - Prob. 4CQCh. 9 - Prob. 5CQCh. 9 - Prob. 6CQCh. 9 - Prob. 7CQCh. 9 - Prob. 8CQCh. 9 - By considering its constituents, determine the...Ch. 9 - Prob. 10CQ
Ch. 9 - Prob. 11CQCh. 9 - Prob. 12CQCh. 9 - Prob. 13CQCh. 9 - Prob. 14CQCh. 9 - Prob. 15CQCh. 9 - Prob. 16CQCh. 9 - Prob. 17CQCh. 9 - Prob. 18CQCh. 9 - Prob. 19ECh. 9 - Prob. 20ECh. 9 - Consider a room divided by imaginary lines into...Ch. 9 - Prob. 22ECh. 9 - The entropy of an ideal monatomic gas is...Ch. 9 - The diagram shows two systems that may exchange...Ch. 9 - A “cold” object, T1=300K , is briefly put in...Ch. 9 - Prob. 26ECh. 9 - Prob. 27ECh. 9 - Prob. 28ECh. 9 - Prob. 29ECh. 9 - Obtain equation (915) from (914). Make use of the...Ch. 9 - Show that equation (916) follows from (915) and...Ch. 9 - Using the relationship between temperature and M...Ch. 9 - Prob. 33ECh. 9 - Prob. 34ECh. 9 - Consider a simple thermodynamic system in which...Ch. 9 - Prob. 36ECh. 9 - Prob. 37ECh. 9 - Prob. 38ECh. 9 - Prob. 39ECh. 9 - Prob. 40ECh. 9 - Prob. 41ECh. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - Prob. 44ECh. 9 - Prob. 45ECh. 9 - For a room 3.0 m tall, by roughly what percent...Ch. 9 - Prob. 47ECh. 9 - A particle subject to a planet’s gravitational...Ch. 9 - Prob. 49ECh. 9 - You have six shelves, one above the other and all...Ch. 9 - Prob. 51ECh. 9 - Prob. 52ECh. 9 - Prob. 53ECh. 9 - Prob. 54ECh. 9 - Prob. 55ECh. 9 - Prob. 56ECh. 9 - Prob. 57ECh. 9 - Prob. 58ECh. 9 - Prob. 59ECh. 9 - Prob. 60ECh. 9 - Prob. 61ECh. 9 - Prob. 62ECh. 9 - Prob. 63ECh. 9 - Determine the density of states D(E) for a 2D...Ch. 9 - Prob. 65ECh. 9 - Prob. 66ECh. 9 - Prob. 67ECh. 9 - Prob. 68ECh. 9 - This problem investigates what fraction of the...Ch. 9 - Prob. 70ECh. 9 - Prob. 71ECh. 9 - Prob. 72ECh. 9 - Prob. 73ECh. 9 - Prob. 74ECh. 9 - Prob. 75ECh. 9 - Prob. 76ECh. 9 - Prob. 77ECh. 9 - Prob. 78ECh. 9 - Prob. 79ECh. 9 - Prob. 80ECh. 9 - Prob. 81ECh. 9 - The Debye temperature of copper is 345 K. (a)...Ch. 9 - Prob. 83ECh. 9 - In Exercise 35, a simple twostate system is...Ch. 9 - Prob. 86ECh. 9 - Prob. 87CECh. 9 - Prob. 89CECh. 9 - Prob. 90CE
Knowledge Booster
Similar questions
- Suppose you have an ideal gas of fermions at room temperature (293 K). How large must E EF be for Fermi-Dirac and Maxwell-Boltzmann statistics to agree to within 1%? Do you think the agreement is within 1% for ideal gases under normal conditions?arrow_forwardFor a system of bosons at room temperature, compute the average occupancy of a single-particle state and the probability of the state containing 0, 1, 2, or 3 bosons, if the energy of the state is 1 eV greater than μarrow_forwardCalculate Z for a single oscillator in an Einstein solid at a temperature T = 2TE = 2Ɛ/kB.arrow_forward
- For a system of fermions at room temperature, compute the probability of a single-particle state being occupied if its energy is. 1 eV less than μarrow_forwardGiven Maxwell-Boltzmann distribution f(v) derive energy distribution F(E), where E=mv^2/2.arrow_forwardU = PV P = AT2 Find F0(U,V,N) and F1(U,V,N) After that use, Gibbs-Duhem to prove dF2=0 and finally apply Euler relation to find S=S(U,V,N)arrow_forward
- Is the class {{x} : all atoms x} a set?arrow_forwardfind the energy distribution function P(E) for a classical non-relativistic ideal gas, such that P(E) is the density of atoms with energy between E and E+dE.arrow_forwardBoltzmann distribution a) There are 1000 molecules are bouncing at 300K between two wells separated by a free energy gap G1= 3 * 10-21 J. Calculate how many particles on average are in each well. Boltzmann constant k = 1.38 * 10-23 J/K b) 1000 molecules are bouncing between wells separated by enthalpy gapsH1= 1 *10-20 J and H2 = 2* 10-20 J. Considering multiplicities of each state write the partitionfunction and calculate the occupancies of states 2 and 3 at 300K and 370K.arrow_forward
- If you have a system with two levels of energy. Prove that the probabilities of absorption and emission stimulated by black body radiation are equalarrow_forwardIs this a maxwell-boltzman distribution curvearrow_forwardWhat is the probability that an O2 molecule in a sampleof oxygen at 300 K has a speed between 5.00 × 102 and5.10 × 102 m s-1 ? (Hint: Try approximating the area underthe Maxwell–Boltzmann distribution by small rectangles.)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning