Thermodynamics Homework

Thermodynamics Homework-47
In the equation A and B are constants, the other variables have their usual meanings. (a) P V N k B T A2 N 2 N (b) P V 2 N k B T V B 2 2 (c) P m V N2 (V 2N B) NA!k B T 2 2 (d) P AVN2 (V 2N B) k B T N2 (e) P V (V 2N B) N k B 2 (f) P N V N N Bk B T V2 2 1 N (g) P N N k B T 2 V V 2 1 (h) 2B P N 3N k B T 2 V V N2 (i) P 2 (V 2N B) N k B T V Answer: Since we want the equation of state, calculate the pressure in terms of volume and ln Q temperature using P k B T N, T .

Determine the average energy, h Ei, for a monatomic ideal gas given the partition function for this gas, 1 Q(N, V, T ) N! N V h Ei k B T (c) h Ei k B T 2 (d) h Ei k B T N V (e) h Ei k B T 3N 2 (f) h Ei h2 N V 3N 2T Answer: First, rearrange this equation, 1 Q(N, V, T ) T N! Take the natural log of both sides of the partition function and separate the terms to obtain 3N 3N ln T ln N ln V ln Q(N, V, T ) N !

2 2 h2 Note that only the second term in the above equation depends on T .

University of Minnesota Statistical Molecular Thermodynamics Homework Week 3 1.

You are given the following partition function for a fictitious gas What is the correct equation of state for Vikonium?

It will be helpful to make use of the geometric series, X xj 1 to derive this result.

e (a) Q (b) Q (c) Q (d) Q (e) Q (f) Q 1 Answer: The partition function for a harmonic oscillator is given as qho (T ) X e 21 X If we let x we can simplify the partition function to qho (T ) X Note that this summation is the geometric series, X xj X 1 . The average energy for a monatomic van der Waals gas is 3 a NA2 h Ei NA k B T 2 V Use the definition of the constant volume molar heat capacity discussed in lecture video 3.4 to determine a formula for the constant volume molar heat capacity of a monatomic van der Waals gas.Start separating ln Q into pieces that include V and those that do not, ln Q ln no V N ln (V 2N B) P k B T ln Q P N 2 k B T 0 2 V 2N B V N2 P 2 (V 2N B) N k B T V N, T 2 N k B T N 2, V 2N B V 2 V 2.In an Einstein crystal, one principal assumption is that each of the N atoms of the crystal vibrate independently about their lattice positions.We can proudly state that our thermodynamics homework help online works with experts who obtain a higher degree in many fields.When people hire for the jobs we propose, they go through multiple tests and interviews to prove they are really the best.At a fixed temperature this means that the partition function will increase.Thermodynamics is a branch of physics which studies the laws of govern the conversion of energy from one form to another.Substituting into the equation for the probability 1 2 ) pj qvib qvib qvib We have shown that the partition function for the harmonic oscillator is qvib 1 Insert this into the equation for the probability pj (1 ) (1 ) From the preceding equation we can see that for the ground state p0 (1 ) 1 Therefore, the fraction in the ground state is equal to this probability.f0 p0 1 1 T To find the fraction of harmonic oscillators in the ground state at different temperatures, first convert the fundamental vibrational frequency for N2 to . c (3 1010 cm )(2330 ) 6.99 1013 We can then obtain a value for : (6.626 J s)(6.99 1013 ) 3352 K k B 1.38 J This simplifies the equation for the fraction of harmonic oscillators to: f0 1 T 1 Insert the different temperatures for T to obtain the fraction in the ground state: Temperature (K) f0 300 0.9650 10.It gets harder when you have a lot of technical tasks in classes like physics, mechanics, or thermodynamics.Well, there is a solution: our thermodynamics homework help.

SHOW COMMENTS

Comments Thermodynamics Homework

  • Heat and Thermodynamics Assignment Homework Help
    Reply

    Heat and Thermodynamics Assignment Homework help Thermodynamics is the branch of physical science that deals with heat and related processes. It is the study of the inter-relation between heat, work and internal energy of a system.…

  • Fundamentals of Engineering Thermodynamics, 9th Edition -
    Reply

    Interactive Thermodynamics Software IT is a valuable learning tool that allows students to develop engineering models, perform “what-if” analyses, and examine principles in more detail. Brief IT tutorials are included within the course and the use of IT is illustrated with selected solved examples.…

  • CHEM 1312. Chapter 17. Chemical Thermodynamics Homework S
    Reply

    Chemical Thermodynamics Homework Ky 24. Using the thermodynamic data provided below, calculate the standard change in entropy when one mole of sodium sulfate is dissolved in water.…

  • Chemical Engineering Thermodynamics Help with Thermodynamics Homework.
    Reply

    Experts of thermodynamics homework Tutors are available 24x7 to help students. To get the solution of your thermodynamics Assignment you just need to submit your thermodynamics Assignment at our ''Submit Assignment/Homework'' form.…

  • Thermodynamics I - Mechanical Engineering
    Reply

    Homework will be scored on a ten point scale for each problem. It will be scored for accuracy, completeness, evidence of serious effort, and clear systematic presentation. Late homework will be accepted up to noon on the day following the due date with a 20% penalty for lateness. Problem solutions will be posted at noon on.…

  • Topic 10 - Thermodynamics - A-Level Chemistry
    Reply

    Books can be a great way of aiding your learning. The books shown below are recommended by teachers and students. Click on the books to find out more.…

  • Thermodynamics Homework 4 - Mr. Swanson's Physics Class
    Reply

    Thermodynamics Homework 4 1st law of Thermodynamics Name _____ Show your work and use significant figures. 1 Calculate ∆Ufor each of the following cases a. Q = + 51 kJ, w = - 15 kJ b. Q = + 100. kJ, w = - 65 kJ c. Q = - 65 kJ, w = - 20 kJ d. In which of these cases does the system do work on the surroundings?…

  • Introductory Chemical Engineering Thermodynamics, 2nd ed. J. Richard.
    Reply

    Introductory Chemical Engineering Thermodynamics, 2nd ed. This is the site of Introductory Chemical Engineering Thermodynamics, 2nd edition, by J. Richard Elliott.…

  • Assignments Thermodynamics of Materials Materials Science and.
    Reply

    Weekly Example Problems. MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward.…

The Latest from truba174.ru ©