Effective average driving forces in a gas absorber consider a packed-tower gas absorber of the type discussed

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Effective average driving forces in a gas absorber consider a packed-tower gas absorber of the type discussed in Example 23.5-2. Assume that the solute concentration is always low and that the equilibrium and operating lines are both very nearly straight. Under these conditions, both k0ya and k0x a may be considered constant over the mass-transfer surface 

(a) Show that (YA – YAe) varies linearly with YA. Note that YA is the bulk mole ratio of A in the gas phase and YAe is the equilibrium gas-phase mole ratio over a liquid of bulk composition XA (see Fig. 22.4-2). 

(b) Repeat part (a) for (YA – YA0). 

(c) Use the results of parts (a) and (b) to show that the overall mass transfer coefficient K0y is defined by Eq. 22.4-4. Note that this part of the problem may be solved by analogy with the development in Example 15.4-1.

WARO = (K?a)ZS(Y A0 – Yadın Y aha WAgo = Ka)ZS(Ye - Yadn %3!

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