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Sagot :
Given the data from the question, the astronauts do not have enough sodium hydroxide in the cabin to cleanse the cabin air of the carbon dioxide.
How to determine the total CO₂
- CO₂ emitted per astronaut per day = 500 g
- CO₂ for 3 astronaut per day = 3 × 500 = 1500 g
- CO₂ for 3 astronaut for 2 days = 2 × 1500 = 3000 g
Balanced equation
2NaOH + CO₂ —>Na₂CO₃ + H₂O
Molar mass of NaOH = 40 g/mol
Mass of NaOH from the balanced equation = 2 × 40 = 80 g
Molar mass of CO₂ = 44 g/mol
Mass of CO₂ from the balanced equation = 1 × 44 = 44 g
SUMMARY
From the balanced equation above,
44 g of CO₂ required 80 g of NaOH
How to determine the mass of NaOH needed
From the balanced equation above,
44 g of CO₂ required 80 g of NaOH
Therefore,
3000 g of CO₂ will require = (3000 × 80) / 44 = 5454.55 g of NaOH
From the calculation made above, we can see that 5454.55 g of NaOH is needed by the astronaut to clean the cabin air but unfortunately, they only have 5000 g of NaOH.
Thus, we can conclude that the astronauts do not have enough NaOH to clean the air
Learn more about stoichiometry:
https://brainly.com/question/14735801
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