According to one model of the Sun, the central density is 1.53×105 kg m−3 and the Rosseland mean opacity at the center is 0.217 m2 kg−1.
(a) Calculate the mean free path of a photon at the center of the Sun.
(b) Calculate the average time it would take for the photon to escape from the Sun if this mean free path remained constant for the photon's journey to the surface. (Ignore the fact that identifiable photons are constantly destroyed and created through absorption, scattering, and emission.)