It is extremely difficult to ‘‘aerate’’ stagnant water. Consider the process shown in the figure below. A sealed tank consists of still, deep liquid water with pure oxygen gas in the headspace. The temperature and pressure of the 100% O2gas are 298 K and 2.0 atm, respectively. Initially, the dissolved oxygen concentration of the water within the tank is uniform at 10.0 g/m3, the diffusion coefficient of dissolved O2in water is 2.1 cm2/s at 298 K, and the Henry’s law constant for dissolved O2gas in liquid water is 0.800 atmm3/g mol at 298 K. How long will it take for dissolved oxygen concentration to reach 20 g/m3at a depth of 0.3 cm from the water surface?
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