In this problem, we will investigate the luminosity of the Sun. We will assume that the Sun
is composed entirely of hydrogen.
(a) [4 pts] Comparing the mass of the Sun to the mass of a hydrogen atom, approximately how many hydrogen atoms are in the Sun?
(b) [8 pts] As we will learn, the Sun is expected to spend approximately 9 billion years on the main sequence. Assuming that the luminosity of the Sun is constant and equal to the
modern value Lo for 9 billion years, how much energy (in Joules) will be emitted by the Sun?
c) [8 pts] Assuming that chemical reactions could produce 10 eV per hydrogen atom, how much energy (in Joules) could be produced by the Sun via chemical reactions of all of the hydrogen atoms in the Sun?
(d) [5 pts] Comparing your answers to part (b) and (c), could the luminosity of the Sun be powered solely by chemical reactions? Why or why not?