Question Bank • QB_DFE_HMT_018 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Diffusive and convective mass transfer

Question Statement:

In mass transfer operations, the Chilton-Colburn $j_D$ factor for mass transfer is defined as:

Options:

  • (A) $j_D = \frac{k_c}{v_{\infty}} (Sc)^{2/3} = St_m (Sc)^{2/3}$
  • (B) $j_D = \frac{k_c}{v_{\infty}} (Sc)^{1/3}$
  • (C) $j_D = Sh \cdot Sc \cdot Re$
  • (D) $j_D = \frac{h}{\rho C_p v_{\infty}}$

Answer Key:

A

Step-by-Step Solution & Explanation

The Chilton-Colburn $j_D$ factor represents the mass transfer Stanton number ($St_m$) modified by Schmidt number to the $2/3$ power: $j_D = St_m (Sc)^{2/3} = \frac{k_c}{v} (Sc)^{2/3} = \frac{f}{2}$ by the Reynolds-Chilton-Colburn analogy.
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