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Blackbody radiation derivative exercise

  1. Sep 6, 2012 #1
    1. The problem statement, all variables and given/known data

    The problem (18.1a) can be found here:

    http://www.suagm.edu/umet/paginas/dbacelo/chem464/scan-probcap18-levine-pag1.pdf [Broken] .

    For reference, the equation (referred to as 18.2 in the problem statement) for the frequency distribution of blackbody radiation is give as:

    R(v)=(2∏h/c2)v3/(ehv/kT-1)





    2. Relevant equations



    3. The attempt at a solution

    To show that vmax is of the form kTx/h, the derivative of R(v) with respect to v is taken and set equal to zero. This equation is then solved for v (or, what should now be referred to as vmax). Using the quotient rule we have, after some simplifications (as the derivative of R(v) with respect to v): 3(ehv/kT-1) = (vh/kT)ehv/kT.

    I am having trouble solving this equation for v (in this case v = vmax). Any suggestions?
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Sep 6, 2012 #2
    Anybody?
     
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