Solve Stellar Ionisation Homework: Type O Stars

[KaBash]

Homework Statement

Hi, I am studying for a test on Monday and I was wondering if someone could clarify something in my notes on the ionisation rate of Type O stars. The line in my notes says;

L = 10⁵L₀ ⇒ S_* ~ 10⁵ /13.6eV ⇒ S_* ~ 10⁴⁹

Basically, I don't have an actual formula for S^* and I was hoping someone could tell me if there is one and/or why it seems to be the luminosity over the ionisation energy?

Thanks for any help!

Homework Equations

The Attempt at a Solution

I know 13.6eV is the ionisation energy for H(n=1)

 

[jbsteele]

and that the luminosity of Type O stars is usually 105L0. I think they are saying that S* (the ionisation rate) is the luminosity divided by the ionisation energy, so L/13.6eV = 1049. Is this correct?