For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cmof air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?

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For this problem, we want to estimate the answer, so our assumptions may be a little
unrealistic. Suppose we want to estimate how much air we need to send to a space station,
assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If
each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes
per minute (average resting value):
a. What is the volume of air you would need in the space station if these four astronauts
stayed for a full year?
b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send
objects to the space station, how much money would the astronaut air supply cost?
Transcribed Image Text:For this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?
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