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Derivation of the Overall Mass Transfer Coefficient

  1. Apr 23, 2016 #1
    1. The problem statement, all variables and given/known data
    dzdEC.png

    The problem requires me to find the overall mass transfer coefficient or Kg.

    2. Relevant equations
    $$N_{1}=\frac{1}{\frac{1}{k_{p}+\frac{H}{k_{x}}}}(p_{1}-Hx_{1}), (1)$$
    $$N_{1}=k_{p}(p_{1}-p_{1i}), (2)$$
    $$N_{1}=k_{x}(x_{1i}-x_{1}), (3)$$


    3. The attempt at a solution
    So, I need to use equations 2 and 3 to get equation 1. The driving force:
    $$(p_{1}-Hx_{1})$$
    comes from using Henry's law, $$P_{1}=Hx_{1}$$ but I just do not understand where the overall mass transfer coefficient comes from, I have tried rearranging 2 and 3 to no avail, can someone help please.
     
  2. jcsd
  3. Apr 24, 2016 #2
    Along with the equation ##p_{1i}=Hx_{1i}##, you have 3 linear algebraic equation in the 3 unknowns ##N_1##, ##p_{1i}## and ##x_{1i}##. Just solve these equations for ##N_1##.
     
  4. Apr 27, 2016 #3
    Thanks I did, I was just being silly before.
     
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