Solution (source code)

= Solution

For fully ionized <hydrogen> with a small metal fraction, there is approximately one <proton> and one <electron> per <hydrogen> <mass>, so $\mu_H\simeq1/2$. The Kramers coefficient is proportional to $Z(1+X)\simeq2Z$. Denote this <star>'s <luminosity> by $L_H$; the supplied proportionality law alone does not fix its absolute <normalization>.

Relative to the helium-dominated comparison <star>, the calculation in part <S26/2/c/ii> gives
$$
\boxed{L_H\simeq L_{\rm He}/155.}
$$
If one uses a roughly solar <luminosity> as an illustrative calibration for this roughly solar-mass, solar-central-temperature reference, the <helium> <star> would be of order a hundred solar <luminosities>. That calibration is only approximate because a mostly <hydrogen> composition with $\mu\simeq1/2$ is not the actual solar composition.