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GATE 2020 CH – Question 19

Mass Transfer · Absorption · 1 mark · Multiple choice

Pure gas P is absorbed into a liquid, where dissolved P undergoes an irreversible first-order reaction within the liquid film. Which graph shows its steady concentration profile?

Diagram for GATE 2020 CH question 19
  1. Profile A
  2. Profile B
  3. Profile C
  4. Profile D

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Show answer and explanation

Correct answer: (B) Profile B

Explanation

In the liquid film, the steady diffusion–reaction equation is $D\,d^2C_P/dx^2-kC_P=0$. Since concentration is nonnegative, its second derivative is positive: the concentration falls from the interface with a progressively less negative slope, giving a convex decaying profile. B has that shape. A is the linear nonreacting limit; C has the wrong curvature and D is discontinuous.

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