Consider a classical ideal gas of N indistinguishable, non-interact...

  1. Home
  2. Homework Library
  3. Physics
  4. Physics - Other
  5. Consider a classical ideal gas of N indistinguishable, non-interact...

QuestionQuestion

Transcribed TextTranscribed Text

Consider a classical ideal gas of N indistinguishable, non-interacting, particles confined to a region of three dimensional space by a harmonic potential V(r). This might be a model for a gas of atoms in a magnetic trap. The single particle Hamiltonian is then, a) [10 pts] Compute the average total energy E of the gas as a function of temperature T. Compute the total specific heat C. b) [10 pts] Compute the density of particles n(I) at position r. Note, n(r) should be nor- malized SO that j dr = N. c) [5 pts] What is the root mean square distance (r2) of particles from the origin? d) [5 pts] What is the pressure of the gas p(r) at a position r? e) [10 pts] What is the chemical potential of the gas H(I) at position r?

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.pdf.

    $93.00
    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Physics - Other Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats