How is passive transport related to equilibrium?

Question

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Answer 1

I am assuming that you are talking about basically osmosis where passive transport is the act of molecules or particles moving (dispersing) from one concentrated region to being uniform over the new environment.  equilibrium is attained when the particles are all equidistant (the same distance) from each other, imagine you have soccer balls in a box (this box is full) and you switch boxes to a larger box, the soccer balls are now going to disperse because they won't need to be stacked on top of each other.

Answer 2

it is according to Le Chatalier's principle.

equilibrium is achieved when the rate forward and backward reaction is equal.

when you try to put stress on one side of the reaction, it will favor to proceed in the direaction in such a way that that stress is relieved. so if you have a greater concentration on one side of a solution, which is a stress on one side, the difference in concentration will drive the transport of molecules or ions whatever that may be, on the other side of the solution so that in every part of the whole solution, there is an eqaul amount of the molecules and equilibrium is achieved.