che120c-final-exam08

# D the terminal velocity of a rigid sphere of

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Explain how your result relates to problem 1. d) The terminal velocity of a rigid sphere of sparingly soluble material falling through a liquid up to Re 2 is 2 p p t gD ( ) v 18 ρ ρ μ = Based on what you know about Sc for liquids, how will the total rate of mass transfer (mol/s) from the sphere scale with size for 0.1 < Re < 1? How will the total rate of mass transfer scale with size for Re << 0.1 ? e) We want to extract an oily compound A from an aqueous liquid by dripping aqueous drops through a less dense organic phase. We have mass transfer from the interior of the droplet to its surface (k aq ), and mass transfer from the droplet surface into the organic phase (k org ), with equilibrium partition coefficient K = [A] org /[A] aq . What is the overall mass transfer coefficient in terms of K, k aq , and k org ? f) [bonus #1] Correctly use both approaches for part (b). g) [bonus #2] What was your favorite “just for fun” ? 2/3 p vap H2O C T (Sc/ Pr) RT H M P ρ Δ

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