The carbon dioxide exhaled by astronauts can be removed from a spacecraft by reacting it with lithium hydroxide (LiOH). The reaction is as follows: CO2 (g) + 2LiOH (s) Li2CO3 (s) + H2O (l). An average person exhales about 20 moles of CO2 per day. How many moles of LiOH would be required to maintain two astronauts in a spacecraft for three days?
Two astronauts would exhale about 40 moles of carbon dioxide daily.
Carbon dioxide reacts with lithium hydroxide in a 1 : 2 mole ratio. Set up a proportion:
1 : 2 = 40 : x
Then, find x:
12=40x
Cross multiply. x = 80 moles of LiOH per day for both astronauts
The number of mole of LiOH required to maintain two astronauts in the spacecraft for three days is 240 moles
CO₂ + 2LiOH —> Li₂CO₃ + H₂O
From the balanced equation above,
1 mole of CO₂ required 2 moles of LiOH.
Therefore,
20 moles of CO₂ will require = 20 × 2 = 40 moles of LiOH
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