Mass Transfer

Q1: In case of absorption with exothermic reaction, for fluids having

A Pr = Sc; percentage change in heat and mass transfer flux will be the same for a given change in the degree of turbulence.

B Pr = Sc = 1; total mass, momentum and thermal diffusivity will be the same.

C both (a) and (b)

D Pr = Sc ; there won't be any change in heat and mass transfer flux with changes in degree of turbulence.

ANS:C - both (a) and (b)

  1. In case of absorption with exothermic reaction, for fluids having Pr = Sc; percentage change in heat and mass transfer flux will be the same for a given change in the degree of turbulence:
    • This statement is describing the relationship between the Prandtl number (Pr) and the Schmidt number (Sc) in the context of absorption with an exothermic reaction. Prandtl number represents the ratio of momentum diffusivity to thermal diffusivity, while Schmidt number represents the ratio of momentum diffusivity to mass diffusivity.
    • When Pr = Sc, it indicates that the thermal and mass diffusivities are directly proportional, meaning that changes in heat transfer are directly proportional to changes in mass transfer. Therefore, the percentage change in heat and mass transfer flux would be the same for a given change in the degree of turbulence.
  2. Pr = Sc = 1; total mass, momentum, and thermal diffusivity will be the same:
    • When both Prandtl number and Schmidt number are equal to 1, it suggests that the momentum, thermal, and mass diffusivities are all equal. This condition is often found in highly diffusive fluids such as dilute gases or very viscous liquids.
    • Under these conditions, the transport properties related to momentum, heat, and mass transfer would all be equal, leading to similar behavior in heat and mass transfer processes.
Based on the explanations:
  • Statement 1 describes the relationship between Prandtl and Schmidt numbers and their impact on heat and mass transfer flux.
  • Statement 2 elaborates on the implications of both Prandtl and Schmidt numbers being equal to 1.
Therefore, the correct option is: Both (a) and (b).
 



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