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A model is described which may be used to simulate a packed column for countercurrent A simple model was proposed previously ( 1 4 ) to explain the large observed differences between the gas-phase mass transfer coefficients for vaporization and absorption. The model was composed of stagnant liquid pockets with holdup h, and liquid which flows rapidly over the packing corresponding to the operating holdup ha. The sum of the two holdups is ht, the total holdup. I t was then assumed that vaporization can take place from the total surface area which is proportional to ht and that absorption can take place only on the rapidly moving surface area which is proportional to h,, because the stagnant pockets become saturated and ineffective. The correlation knarap -G a p -ht was obtained and shown to represent the data. However, there are no completely stagnant pockets in a packed column, and previous dye dispersion (16) and particle velocity ( 1 3 ) studies in this series showed that the pockets have widely varying residence times from fractions of a second up to 5 to 10 min. The residence times of many pockets were found to be functions of time, probably due to the complex flow geometry above the pockets investigated. The flow was found to be laminar over the outside surfaces of rings, laminar or turbulent in pockets, and turbulent at ring junctions. Thus a wide range of conditions was found from slow moving laminar flow to rapid and complete mixing and even periodic renewal every few seconds by splashing.Most workers in the field of absorption accompanied by chemical reaction have considered only the liquid-phase mass transfer coefficient and neglected the gas-phase coefficient, particularly for systems where absorption with no reaction is liquid-phase controlled. These systems (such as (1)
A model is described which may be used to simulate a packed column for countercurrent A simple model was proposed previously ( 1 4 ) to explain the large observed differences between the gas-phase mass transfer coefficients for vaporization and absorption. The model was composed of stagnant liquid pockets with holdup h, and liquid which flows rapidly over the packing corresponding to the operating holdup ha. The sum of the two holdups is ht, the total holdup. I t was then assumed that vaporization can take place from the total surface area which is proportional to ht and that absorption can take place only on the rapidly moving surface area which is proportional to h,, because the stagnant pockets become saturated and ineffective. The correlation knarap -G a p -ht was obtained and shown to represent the data. However, there are no completely stagnant pockets in a packed column, and previous dye dispersion (16) and particle velocity ( 1 3 ) studies in this series showed that the pockets have widely varying residence times from fractions of a second up to 5 to 10 min. The residence times of many pockets were found to be functions of time, probably due to the complex flow geometry above the pockets investigated. The flow was found to be laminar over the outside surfaces of rings, laminar or turbulent in pockets, and turbulent at ring junctions. Thus a wide range of conditions was found from slow moving laminar flow to rapid and complete mixing and even periodic renewal every few seconds by splashing.Most workers in the field of absorption accompanied by chemical reaction have considered only the liquid-phase mass transfer coefficient and neglected the gas-phase coefficient, particularly for systems where absorption with no reaction is liquid-phase controlled. These systems (such as (1)
24). If, however, one considers the presence of copperascorbate complexes [Equation ( A l l ) ] , then the expression must be modified. The concentrations of unbound copper and total copper are related by Equation (A18) thus can be put into the form of Equation (37):Other mechanisms leading to the same rate expression can also be proposed. One that involves a copper (1)-copper (111) transition rather than copper (11) dimers is as follows:From this mechanism, expressions (A9) and (A19), and the assumption of equal rates of initiation and termination, a rate expression of the form of Equation (37) results:( A21 I The rates of absorption of pure sulfur dioxide into aqueous sodium bisulfite, sodium hydroxide, and sodium sulfite solutions with and without a surface active agent were measured at 25°C using a liquid jet column. For the sulfur dioxide-sodium hydroxide system, the rate of absorption into the solution without surface active agent was higher than that into the solution with surface active agent, indicating the existence of the interfacial turbulence. The absorption rates obtained for the present system under the conditions of no interfacial turbulence were in good agreement with the theoretical predictions based on the penetration theory.
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