Question

Match List-I with List-II.

List-I	List-II
A. Lewis number (Le) B. Peclet number (Pe) C. Sherwood number (Sh) D. Nusselt number (Nu)	I. Ratio of convection to diffusion mass transfer II. Ratio of convection to pure conduction heat transfer III. Ratio of thermal and mass diffusivities IV. Ratio of advection to conduction heat transfer

• A. A-III, B-IV, C-I, D-II
• B. A-III, B-II, C-IV, D-I
• C. A-II, B-I, C-IV, D-III
• D. A-I, B-IV, C-II, D-III

Hint:

Nu → heat, Sh → mass, Le → ratio of diffusivities.

Answer 1

The Correct Option is A

Concept: Dimensionless numbers relate transport phenomena:

Step 1: Lewis number (A).
\[ Le = \frac{\text{thermal diffusivity}}{\text{mass diffusivity}} \] Thus: \[ A \rightarrow III \]

Step 2: Peclet number (B).
\[ Pe = \text{advection}/\text{conduction} \] Thus: \[ B \rightarrow IV \]

Step 3: Sherwood number (C).
\[ Sh = \frac{\text{convective mass transfer}}{\text{diffusion}} \] Thus: \[ C \rightarrow I \]

Step 4: Nusselt number (D).
\[ Nu = \frac{\text{convective heat transfer}}{\text{conduction}} \] Thus: \[ D \rightarrow II \]

Step 5: Final matching.
\[ A-III,\; B-IV,\; C-I,\; D-II \] \[ \boxed{\text{Answer: Option (1)}} \]