Earlier quoted context omitted.
A typical person exhales just over 1kg of CO2 daily. You'd need emough plants to fix about the same amount of CO2 from the air, under indoor, shaded conditions . https://www.reference.com/science/much-co2-human-exhale-3f8c... The fastest rate of carbon fixation by any plants are photosynthetic algae eds, which fix u to 4.4 kg of carbon per square meter per year, or 16.3kg CO2/(m^2 * yr). http://carbon.ycombinator.com…
The source you're citing talks about 4.4 kg estimated per m^2 for algae in the open ocean, and notes that the maximum known rate is 9.16, so around 9 * (44/12) = 33 kg per m^2/yr converting C to CO^2, or around 11 square meters. In terms of CO^2 sequestration it doesn't seem implausible to fit a farm of that area in something the size of an apartment.. Of course the energy/water use would be insane, hopefully you cou…
The 4.4 kg I gave was carbon, the 16.3 kg CO2. Your 9.16 kg refers to CO2, fixed per square meter per year, which is less than the CO2 fixation value I'd used. That is, http://carbon.ycombinator.com are making a more conservative estimate of about 56% the maximum observed rate. That increases rather than decreases the required area.
At 9.63 kg/(m^2yr) you'd need 39.8 m^2, or 429 ft^2, of algae to offset one person's CO2 exhalation.
Using GNU units:
You have: (1kg/day)/(9.16 kg/(m^2*yr))
You want: m^2
* 39.873602
/ 0.025079249
You have: (1kg/day)/(9.16 kg/(m^2*yr))
You want: ft^2
* 429.19589
/ 0.0023299385
You have: 9.16/16.3
You want: %
* 56.196319
/ 0.01779476
Apologies for typos in GP post. Android soft-keyboard stinks.