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

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Discussion Overview

The discussion revolves around calculating Boltzmann's constant (k) using a given value for Planck's constant (h=6.6E23). Participants explore the relationship between energy, temperature, and wavelength in the context of thermodynamics and quantum mechanics.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant outlines a method involving the equations E = kT and E = hv, leading to k = hv/T and subsequently k = hc/(lambda)T, but expresses uncertainty at a specific step.
  • Another participant suggests a similar approach, stating E = kT = hf = (hc)/lambda, and derives a relationship involving temperature and wavelength, but does not provide a complete solution.
  • There are repeated confirmations of the value h=6.6E23, with one participant correcting their earlier statement about a different value.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculation method or the value of k, and the discussion remains unresolved with multiple approaches presented.

Contextual Notes

Participants do not clarify the assumptions regarding temperature or the specific conditions under which the calculations are made, leaving some steps and definitions potentially ambiguous.

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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

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

E-34, my bad
 

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