Calculating Boltzmann's Constant (k) with h=6.6E23

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To calculate Boltzmann's constant (k) using Planck's constant (h=6.6E23), the equations E = kT and E = hv are utilized. The approach involves substituting E with hv and rearranging to express k in terms of h, wavelength (lambda), and temperature (T). The discussion indicates confusion at the step of isolating k, particularly when relating frequency and wavelength. The final goal is to demonstrate that k equals 0.71 cm-1 deg-1. Clarification on the calculations and units is needed to reach the correct conclusion.
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Homework Statement


Using h=6.6E23, show that k (Boltzmann constant) = 0.71 cm-1 deg-1? (




Homework Equations



E = kT
E = hv

...?

The Attempt at a Solution


The only approach I can think of is:

1. E = hv
2. kT = hv
3. k = hv/T
4. Since v = c/lambda, k = hc/(lambda)T

But, I am stuck at the step above...
 
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h=6.6E23
sure
??
 
I believe it's

E = kT = hf = (hc)/\lambda
then
1/(T\lambda)=k/(hc)
 
janhaa said:
h=6.6E23
sure
??

E-34, my bad
 
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