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Mass transfer coefficients in batch and continuous systems differ in terms of the underlying operating conditions and the nature of the mass transfer process. Here are the key differences between the two:

  1. Operating Mode: In a batch system, mass transfer occurs in a closed vessel where the transfer process takes place during a finite period of time. The system is typically filled with a fixed amount of reactants or materials that undergo a mass transfer process until the desired conditions or completion of the process are achieved.

In contrast, a continuous system operates in a steady-state mode, where the transfer process takes place continuously over an extended period. The system has a continuous inflow and outflow of materials, ensuring a continuous transfer process.

  1. Mass Transfer Mechanism: In batch systems, mass transfer generally occurs due to concentration gradients between the phases or within the same phase. The driving force for mass transfer could be the concentration difference between a liquid and gas phase or between two liquid phases. Diffusion is the primary mechanism responsible for mass transfer in batch systems.

Continuous systems, on the other hand, can have various mass transfer mechanisms depending on the specific design and operation. These mechanisms include diffusion, convection, and dispersion. In continuous systems, mass transfer can occur across different phases (e.g., gas-liquid, liquid-liquid) or within the same phase due to concentration or temperature gradients.

  1. Mass Transfer Coefficient: The mass transfer coefficient is a measure of the effectiveness of mass transfer in a system. In batch systems, the mass transfer coefficient represents the rate at which mass is transferred per unit area of contact between phases (e.g., gas-liquid interface). It is influenced by factors such as stirring/agitation, interfacial area, and the properties of the phases involved.

In continuous systems, the mass transfer coefficient is affected by factors such as flow rate, contact time, surface area, and fluid properties. The coefficient represents the rate of mass transfer per unit area and is typically higher compared to batch systems due to the continuous nature of the process.

Overall, the main distinction between mass transfer coefficients in batch and continuous systems lies in the operating mode, mass transfer mechanism, and the factors influencing the rate of mass transfer.

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