BTW Wouldn't the mean path of light rays depend on the shape of vessel too? Try to imagine the passing of light through flat cuvette - every scattering would prolonge the mean path of light through it..Every scattering? Imagine a scattering that occurs at the front of the cuvette that sends the light backwards, i.e. the light hardly enters before it bounces back out whence it came. That single counter-example falsifies your statement. In fact, the relative ratio of scatterings that are ~90 degrees to the initial path and hence liable to keep the photon in the cuvette are small compared to all the possible scattering angles.
dirk_bruere
Nov 10, 2017