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

[PStudent111]

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...

 

[janhaa]

h=6.6E23
sure
??

 

[janhaa]

I believe it's

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

 

[PStudent111]

h=6.6E23
sure
??

E-34, my bad