Question

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)]

Answer 1

55.0 g

Step-by-step 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