Your 'standard' bottled water bottle is more like 15 grams[1], so to use that metric we're talking 6 to 35 bottles per square kilometre.
Personally I'm more concerned about these plastics getting into my food than I am about whether they'll support my chair. We're going to have serious ecological issues long before these garbage patches become visible - or floatable.
[1] http://www.bottledwater.org/news/weight-pet-bottled-water-co...