Allied & ICAR Exam Bank • ALLIED_0730 MCQ • 1 Mark

Section 7: Dairy and Food Engineering

Refrigeration and Freezing

Subtopic: Refrigeration and Freezing

Question Statement:

Plank's equation for estimating the freezing time $t_f$ of a food slab of thickness $a$ is:

Options:

  • (A) $t_f = \frac{\rho_f \lambda}{T_F - T_a} \left[\frac{P a}{h} + \frac{R a^2}{k_f}\right]$
  • (B) $t_f = \frac{\lambda}{\rho_f} \left(\frac{a}{h}\right)$
  • (C) $t_f = \frac{k_f a}{\rho_f \lambda}$
  • (D) $t_f = \frac{P a + R a^2}{h}$

Answer Key:

A

Step-by-Step Solution & Explanation

Plank's equation models freezing time by summing convective surface resistance ($P a / h$) and frozen layer conduction resistance ($R a^2 / k_f$).
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