So if you want to really sequester the carbon you would have to bury the seaweed or quickly sink it to the bottom of the ocean, where it would take hundreds of years to make it back up to the surface, if it ever did.
As to the CO2 absorption capacity of the ocean, the latest information I have seen suggests that the capacity does scale with the quantity of CO2, but it also increases the net rate of respiration so it doesn’t make much of a difference in the net CO2 level in the atmosphere.
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