The mass of the Martian atmosphere is about $1 / 150$ the mass of Earth's atmosphere and is composed mainly (95 percent) of carbon dioxide. Using the result of problem 1 in Chapter 7 to determine the mass of Earth's atmosphere, estimate the total mass of carbon dioxide in the atmosphere of Mars. Compare your answer with the mass of a seasonal polar cap, approximated as a circular sheet of frozen carbon dioxide ("dry ice," having a density of $1600 \mathrm{kg} / \mathrm{m}^{3}$ ) of diameter $3000 \mathrm{km}$ and thickness $1 \mathrm{m}.$