# Boltzmann's constant

1. Sep 2, 2013

### PStudent111

1. The problem statement, all variables and given/known data
Using h=6.6E23, show that k (Boltzmann constant) = 0.71 cm-1 deg-1? (

2. Relevant equations

E = kT
E = hv

...?

3. 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...

2. Sep 2, 2013

h=6.6E23
sure
??

3. Sep 2, 2013

### janhaa

I believe it's

$$E = kT = hf = (hc)/\lambda$$
then
$$1/(T\lambda)=k/(hc)$$

4. Sep 2, 2013