The mass of the Sun is \(2 \cdot 10^{30} \mathrm{~kg}\), and the Sun contains
more than \(99 \%\) of all the mass in the Solar System. Astronomers estimate
there are approximately 100 billion stars in the Milky Way and approximately
100 billion galaxies in the universe. The Sun and other stars are
predominantly composed of hydrogen; a hydrogen atom has a mass of
approximately \(2 \cdot 10^{-27} \mathrm{~kg}\)
a) Assuming that the Sun is an average star and the Milky Way is an average
galaxy, what is the total mass of the universe?
b) Since the universe consists mainly of hydrogen, can you estimate the total
number of atoms in the universe?