The Countercurrent Gas Scrubber Revisited

The basic model equations for coimtercurrent continuous mass transfer are the differential mass balances over each phase, which were derived in Illustration 2.3, and the companion equilibrium relation (Equation 2.12f). They represent a complete model for tiie system and are reproduced below  

Here X and Y are solute concentrations in units of kilogram solute per kilogram carrier or solvent, and the mass velocities and have units of kilogram (carrier or solvent) per square meter second. 

The two mass balances can be manipulated in a number of ways to yield specific results of interest. One such operation consists of subtracting Equation 2.12d and Equation 2.12e, which results in the elimination of the mass transfer terms. We obtain 

This equation can be integrated between different limits to yield the algebraic mass balances derived in Illustration 2.4 by performing integral solute balances over the column. They are as follows  

Mass Transfer and Separation Processes Principles and Applications 

The basic model equations for countercurrent continuous mass transfer are the differential mass balances over each phase, which had been derived in 

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