Often one absorbs a component from the gas phase into a liquid where a reaction occurs. The presence of the reaction increases the mass transfer and the loading the liquid can take. A prime example of this process is the absorption of \(\mathrm{CO}_{2}\) in basic solutions such as \(\mathrm{NaOH}\). Rework the gas-liquid absorption example considering a pseudo-first-order reaction of \(\mathrm{CO}_{2}\) in the liquid, \(-r_{a}=k^{\prime \prime} c_{\mathrm{CO}_{2}}\).

a. How do the balance equations change? Are the fluxes between phases still equal?

b. How does the overall mass transfer coefficient depend upon the reaction rate constant?

c. What are the new definitions for the height and number of transfer units?