Back of the Envelope: Carbon Capture

How difficult will carbon capture be? The principle is that a fan blows air through some process that captures the CO2 out of it. I am assuming some things:

• The fan operates 24/7
• The wind speed through the fan is constant at 5 m/s
• The process captures 100% of the CO2

This gives me the result that each m^2 of fan surface captures 92 kg of CO2 per year, and therefore about 110 m^2 is needed per person.