\begin{align}
L'\frac{x_{A,i}}{1-x_{A,i}}+V'\frac{y_{A,j+1}}{1-y_{A,j+1}}&=L'\frac{x_{A,j}}{1-x_{A,j}}
+ V'\frac{y_{A,i+1}}{1-y_{A,i+1}}
\end{align}
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One of the biggest difficulties of absorber design is
that you have to alter the operating line a lot.
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In distillation, the operating line is straight due to
the assumption of
constant molar overflow.
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But in absorption, we must plot several points to
capture its curvature (see right).
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Can we make the operating line straight using a
change of variables?