Evaporation rate for small mole fraction of the volatile liquid, in Eq 18.2-15, expand in a Taylor series appropriate for small mole fractions of A. First rewrite the logarithm of the quotient as the difference of the logarithms. Then expand ln (1 – X_A1) and ln (1 – X_A2) in Taylor series about X_A1 = 1 and X_A2 = 1, respectively. Verify that Eq. 18.2-16 is correct.

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1 - X42 1 – XAL, In XA1 - X42, (xg)in