Q: What is a reasonable rough guess for the mean molecular weight mu at the center of the Sun? (Hint: assume pure hydrogen) Let's assume pure hydrogen. The center of the Sun is hot enough that it will be completely ionized. Therefore, each hydrogen atom will give rise to 2 particles: an electron and a proton. The mean molecular mass will be roughly 0.5, since there are two particles which add up to the mass of one hydrogen atom. mu = 0.5