According to the penetration theory of mass transfer the mass transfer coefficient varies with diffusion coefficient (D) of the diffusing species as
Show Hint
- D
- D\(^0.5\)
- D\(^0.5\)
- D\(^1.5\)
The Correct Option is B
Solution and Explanation
Step 1: Understanding the Penetration Theory.
The penetration theory is used to describe the mass transfer in a system where a species diffuses into a stagnant fluid. According to this theory, the mass transfer coefficient (\(k\)) is related to the diffusion coefficient (\(D\)) by the following relationship: \[ k \propto D^{0.5} \] This means that the mass transfer coefficient varies as the square root of the diffusion coefficient.
Step 2: Conclusion.
The correct answer is (2), as per the penetration theory, the mass transfer coefficient varies with \(D^{0.5}\).
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