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Mass Transfer

Q1: The equation,  is for

A Fick's second law of diffusion.

B stready state diffusion for stagnant case.

C liquid M.T.C. by Higbie penetration theory.

D none of these.

ANS:B - stready state diffusion for stagnant case.

The equation ∂š¶∂š‘”=š·∂2š¶∂š‘„2∂t∂Cā€‹=D∂x2∂2Cā€‹ represents Fick's second law of diffusion. Fick's second law of diffusion describes how the concentration of a diffusing substance changes over time and space. It states that the rate of change of concentration with respect to time is proportional to the second derivative of concentration with respect to distance. In the equation:

  • ∂š¶∂š‘”∂t∂Cā€‹ represents the rate of change of concentration with respect to time.
  • š·D is the diffusion coefficient, which characterizes the rate of diffusion of the substance through the medium.
  • ∂2š¶∂š‘„2∂x2∂2Cā€‹ represents the second derivative of concentration with respect to distance in the direction of diffusion.
Fick's second law is fundamental in understanding diffusion processes in various fields, including chemistry, physics, and engineering. It provides insights into how diffusive processes evolve over time and space.



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