1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Percentage error in Maxwellian distribution.

  1. Jun 1, 2016 #1
    1. The problem statement, all variables and given/known data
    In computing the average kinetic energy of a molecule obeying Maxwellian distribution one use the formula ½mc2 .Calculate the percentage error incurred in the calculation.
    3. The attempt at a solution
    Here c is the average velocity of a molecule obeying Maxwellian distribution which I can calculate which is √(8KT/πm), but I have no idea how to calculate the percentage error so no attempt has been made.

    Thanks
     
  2. jcsd
  3. Jun 1, 2016 #2

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    2017 Award

    Hello debjit,

    What equation did you use to calculate the average kinetic energy ?
    Do you know the equation for the standard deviation ?
     
  4. Jun 1, 2016 #3
    Thanks for the reply BvU.
    I used Maxwell's velocity distribution to compute average or mean speed

    Maxwell's velocity distribution
    dNc = 4πN(m/2πkT)3/2e-(mc2/2kT)c2dc

    From this I computed the average or mean speed
    c' = 1/N ( o cdNc)

    c' = √(8kT/πm)

    "Do you know the equation for the standard deviation ?"
    Well I am not very much good at the statistical part ,so if you kindly explain it it will be very helpful.

    Thanks
     
  5. Jun 1, 2016 #4

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    2017 Award

    Well, you can always look it up ...
    usually you do something like ##<x^2> - <x>^2##, so you're halfway already :smile:
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted