Ah thanks for pointing out the problems guys!
Hmm.. lets say we have a "hive" of the robots, which might be a few dozen or so, and since they are mobile, maybe a large area wont be a problem.
Great idea about the nets. If we can equip it with the robots, you've got a larger area covered too (ie mobile nets). It depends on the design of the robot.. which I haven't thought deeply into yet

For example, how do the chemicals get removed from the sorbents into a storage tank on board, what is the capacity of this tank, or will it travel back and forth into the command ship to dump it's load, etc. To reduce cost, we can just use waterproof plywood. If P.V cells are too expensive, a windmill could work too.
If we do want to know how much area it can cover within a certain time, you'll need to know the parameters such as how fast the sorbent can work, the speed of the robot, water turbulence, wind, etc. Multiply that with the size of the hive too.
Now that you bring up the net idea, we can also do this:
We can deploy a large ring with sorbents that will encircle the area thats effected, just like water buoys and markers. Perhaps this is similar to what is done for oil spills. Then, we will slowly decrease the size of the enclosed area so that the chemicals will pushed into the middle, sorta like how hose clamps work

At least the chemicals wont spread out too much during water turbulence. We could have the robots within the enclosed area doing their thing, or have water pumps filtering the water (the clean water outlet is external to the enclosed area).
I'll try to draw the diagram to give a better idea, this weekend. Theres one thing to take note; we are assuming that this is a "clean up" operation, yea? Length of mission wont factor in much, since we will only do it once a while and leave it to the "preventive" measures to protect the seas.
Regarding that, there are many "root" causes. Chemicals can come from household, factories, ships, ports, etc. We can probably control the chemicals coming from the land by monitoring pipes as well as rivers and tributaries. However, it’ll be much more difficult to stop chemicals from entering the groundwater.
Chemicals from ships are quite hard to control too since there are so many (and quite spread out in the sea). Perhaps newer ships have some sort of chemical waste regulations (kinda like the double hull rule for tankers) but they are just a fraction to the number of ships existing already, with a significant proportion being a decade or two in age.