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At maximum capacity, the MOXIE can produce up to 10.0g of breathable oxygen per hour. How many grams of CO2 must be harnessed by the device to make oxygen over a 2 hour period?

Give your answer with the correct number of sig figs

[balanced equation: 2CO2 (g)--> 2CO (g)+ O2(g)]

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dsdrajlin

Answer:

55.0 g

Explanation:

Step 1: Write the balanced equation for the production of oxygen

2 CO₂(g)⇒ 2 CO(g) + O₂(g)

Step 2: Calculate the mass of oxygen produced over a 2 hour period

The MOXIE produces 10.0 g of oxygen per hour.

2 h × 10.0 g/1 h = 20.0 g

Step 3: Calculate the moles corresponding to 20.0 g of O₂

The molar mass of O₂ is 32.00 g/mol.

20.0 g × 1 mol/32.00 g = 0.625 mol

Step 4: Calculate the number of moles of CO₂ needed to produce 0.625 moles of O₂

The molar ratio of CO₂ to O₂ is 2:1. The moles of CO₂ needed are 2/1 × 0.625 mol = 1.25 mol

Step 5: Calculate the mass corresponding to 1.25 moles of CO₂

The molar mass of CO₂ is 44.01 g/mol.

1.25 mol × 44.01 g/mol = 55.0 g

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