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A CO₂ containing gas is in contact with liquid water in a cylindrical batch absorber and the equilibrium solubility of CO₂ in water can be described by Henry's law. The rate of CO₂ absorption is given by r [mol/s] = kA(C*—C), where C is actual concentration of CO₂ in the liquid, C* is the concentration of CO₂ that would be in equilibrium with CO₂ in the gas phase, k is a mass transfer coefficient, and A is the total contact area between CO₂ gas and liquid water. Suppose the system pressure is 15.0 atm, the liquid volume is 4 litres, the gas contains 30.0 mol% of CO₂, the Henry's constant is 9230 atm/(mole/cm³), the mass transfer coefficient is 0.020 cm/s, and the total contact area A is 820 cm². (i) Calculate the time needed for C to reach 0.410 mol/litre if gas-phase properties remain essentially constant. (ii) Calculate the time needed for the same process in (i) but the mass transfer coefficient is reduced to 0.012 cm/s.

A CO₂ containing gas is in contact with liquid water in a cylindrical batch absorber and the equilibrium solubility of CO₂ in water can be described by Henry's law. The rate of CO₂ absorption is given by r [mol/s] = kA(C*—C), where C is actual concentration of CO₂ in the liquid, C* is the concentration of CO₂ that would be in equilibrium with CO₂ in the gas phase, k is a mass transfer coefficient, and A is the total contact area between CO₂ gas and liquid water. Suppose the system pressure is 15.0 atm, the liquid volume is 4 litres, the gas contains 30.0 mol% of CO₂, the Henry's constant is 9230 atm/(mole/cm³), the mass transfer coefficient is 0.020 cm/s, and the total contact area A is 820 cm². (i) Calculate the time needed for C to reach 0.410 mol/litre if gas-phase properties remain essentially constant. (ii) Calculate the time needed for the same process in (i) but the mass transfer coefficient is reduced to 0.012 cm/s.

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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A CO₂ containing gas is in contact with liquid water in a cylindrical batch absorber and the equilibrium solubility of CO₂ in water can be described by Henry's law. The rate of CO₂ absorption is given by r [mol/s] = kA(C*—C), where C is actual concentration of CO₂ in the liquid, C* is the concentration of CO₂ that would be in equilibrium with CO₂ in the gas phase, k is a mass transfer coefficient, and A is the total contact area between CO₂ gas and liquid water. Suppose the system pressure is 15.0 atm, the liquid volume is 4 litres, the gas contains 30.0 mol% of CO2, the Henry's constant is 9230 atm/(mole/cm³), the mass transfer coefficient is 0.020 cm/s, and the total contact area A is 820 cm². (i) Calculate the time needed for C to reach 0.410 mol/litre if gas-phase properties remain essentially constant. (ii) Calculate the time needed for the same process in (i) but the mass transfer coefficient is reduced to 0.012 cm/s.
Transcribed Image Text:A CO₂ containing gas is in contact with liquid water in a cylindrical batch absorber and the equilibrium solubility of CO₂ in water can be described by Henry's law. The rate of CO₂ absorption is given by r [mol/s] = kA(C*—C), where C is actual concentration of CO₂ in the liquid, C* is the concentration of CO₂ that would be in equilibrium with CO₂ in the gas phase, k is a mass transfer coefficient, and A is the total contact area between CO₂ gas and liquid water. Suppose the system pressure is 15.0 atm, the liquid volume is 4 litres, the gas contains 30.0 mol% of CO2, the Henry's constant is 9230 atm/(mole/cm³), the mass transfer coefficient is 0.020 cm/s, and the total contact area A is 820 cm². (i) Calculate the time needed for C to reach 0.410 mol/litre if gas-phase properties remain essentially constant. (ii) Calculate the time needed for the same process in (i) but the mass transfer coefficient is reduced to 0.012 cm/s.
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