Factors that determine carrying capacity are the amount of resources available and population. Other factors are land area and amount of water.
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The phrase "other factors" in the question implies that you are already aware of one (or more) factors. But since you have chosen not to share that information I cannot be sure that the factors that I come up with are not ones that you already know about. Consequently, I am unable to give a sensible answer to the question.
The k-line on a population graph represents carrying capacity. Carrying capacity refers to the number of people that can be supported without destroying the ecosystem.
The concentration of the buffer (the higher the concentration, the larger the buffering capacity) and how close the pKa of the buffer is compared to the pH of the solution (the closer the greater the buffer capacity).See the Related Questions to the left for more information on buffers.
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In terms of volume: infinite - there is no limit to how long the pipe can be!