Using a special polymer material, we want to make a waterproof fabric that can discharge sweat but does not allow water to pass through. The principle that sweat can be discharged through the cloth is that the cloth has micropores of 10 m in diameter and 100 m in length, so the evaporated sweat passes through the micropores in the form of steam, and the size of the micropores is small, so liquid water does not pass through. The temperature and pressure are maintained at 298 K, 1 atmosphere (1.01325 bar), and in this state, the saturated water vapor pressure inside the waterproof clothes is 0.03165 bar and the water vapor pressure outside the waterproof clothes is 0.015825 bar. Diffusivity of water vapor in air at 298 K DAB = 0.26 10-4 m2/s.

(1) Find the rate (mol/s) of sweat discharged through a single micropore present in waterproof clothing with a very large amount of sweat present. (2) Calculate how the rate of sweat (mol/s) discharged will change if the bulk motion contribution is ignored when moving water vapor in micropores