4.9 An open, shallow reservoir of a viscous, nonvolatile liquid is located inside a petrochemical plant. We wish to evaluate the unsteady absorption of HS by the liquid if this gas is released to the atmosphere. The scenario considered is the sudden increase of the concentration of HS in the air over the surface of the reservoir from zero to 0.1 mol%. If this level of contamination is maintained for 30 days:
a. What is the minimum concentration of HS in the liquid of the reservoir at the end of this period?
b. What is the maximum concentration?
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Mass transfer inside the reservoir occurs by diffusion only. The reservoir can be approximated to a slab 0.1 m deep with a surface area of 200 m². Convective mass transfer in the air flowing over the reservoir can be considered fast. The diffusivity of HS in the liquid at 298 K and 1 atm reservoir conditions is 2 x 10^-5 m²/s, and the partition coefficient is K = 0.4 (ratio between molar concentration of HS in air and molar concentration in the liquid).