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Problem 1

Venus's atmosphere contains about \(4.6 \times 10^{20} \mathrm{kg}\) of carbon dioxide \(\left(\mathrm{CO}_{2}\right)\). If all of the oxygen atoms in the \(\mathrm{CO}\), were combined with hydrogen to make water \(\left(\mathrm{H}_{2} \mathrm{O}\right)\) instead of carbon dioxide, what would the total mass of water be? (Note:Hydrogen has an atomic mass of \(1 ;\) carbon, \(12 ;\) oxygen, \(16 .\) How does this compare to the mass of Earth's oceans, about \(1.4 \times 10^{21} \mathrm{kg} ?\)

Problem 2

From your answer to problem \(1,\) how deep an ocean would this water produce if it were the same depth everywhere on the surface? (Note that \(1000 \mathrm{kg}\) of water fills a volume of 1 cubic meter.)

Problem 3

One city is at a longitude of \(78^{\circ} \mathrm{E}\) while a second on is at \(95^{\circ} \mathrm{W}\) How many hours will pass between a star crossing the meridian in the first city and in the second? If the time zone of each city is based on the closest longitude that is a multiple of \(15^{\circ}\) and the star passes overhead in the first city exactly at midnight, what time (by the clock) will it pass over the second city?

Problem 3

Suppose the Earth's spin slowed down until there were just 180 days in a year. Compare the length of a sidereal and a solar day in this new situation. (Do not redefine units of time- just express them in terms of our current hours, minutes, and seconds.

Problem 4

Suppose the Earth's spin slowed down until there were just 180 days in a year. Compare the length of a sidereal and a solar day in this new situation. (Do not redefine units of time- just express them in terms of our current hours, minutes, and seconds.

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