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Mass Transfer - Engineering

Q1:

Diffusion co-efficient generally depends upon the temperature, pressure & the nature of the components of the system. Its dimension is not the same as that of the

A mass transfer co-efficient.

B thermal diffusivity.

C kinematic viscosity.

D volumetric diffusivity.

ANS:A - mass transfer co-efficient.

The dimension of the diffusion coefficient is not the same as that of the kinematic viscosity. Here's why:

  1. Diffusion Coefficient Dimension: The diffusion coefficient (D) is a measure of how rapidly particles spread or diffuse through a medium. It has dimensions of length squared per time (e.g., m^2/s in SI units). The diffusion coefficient is a property of the material and describes the ability of particles to move through the medium by diffusion.
  2. Kinematic Viscosity Dimension: Kinematic viscosity (𝜈ν) is defined as the dynamic viscosity (𝜇μ) divided by the density (𝜌ρ) of the fluid. Its dimension is length squared per time (e.g., m^2/s in SI units), which is the same as that of the diffusion coefficient. However, the kinematic viscosity represents the fluid's resistance to flow, while the diffusion coefficient represents the rate of diffusion of particles within the fluid.
The other options—mass transfer coefficient, thermal diffusivity, and volumetric diffusivity—have dimensions that are different from the diffusion coefficient and kinematic viscosity.