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## Homework Statement

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/c

^{2})v

^{3}/(e

^{hv/kT}-1)

## Homework Equations

## The Attempt at a Solution

To show that v

_{max}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 v

_{max}). Using the quotient rule we have, after some simplifications (as the derivative of R(v) with respect to v): 3(e

^{hv/kT}-1) = (vh/kT)e

^{hv/kT}.

I am having trouble solving this equation for v (in this case v = v

_{max}). Any suggestions?

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