Question Bank • QB_EXP_DFE_MIC_003 MSQ • 2 Marks

Section 7: Dairy and Food Engineering

Microbial Inactivation Kinetics: D-Value, z-Value & F-Value

Subtopic: Definitions of D, z, and F values

Question Statement:

Which of the following statements regarding thermal death kinetics of microorganisms is/are TRUE?

Options:

  • (A) The $D$-value is the heating time required at a given temperature to destroy $90\%$ of the microbial population (one log reduction)
  • (B) The $z$-value is the temperature increase required to reduce the $D$-value by a factor of 10
  • (C) Thermal death of vegetative cells and bacterial spores follows first-order reaction kinetics: $\ln(N/N_0) = -k t$
  • (D) Higher $z$-value indicates greater temperature sensitivity of the microorganism

Answer Key:

A, B, C

Step-by-Step Solution & Explanation

1. $D$-value = time for 1 log ($90\%$) reduction: $D = t / \log_{10}(N_0/N)$ (A is true). 2. $z$-value = $\Delta T$ for 1 log change in $D$: $z = (T_2 - T_1) / \log_{10}(D_1/D_2)$ (B is true). 3. Semi-log linear survival curves confirm first-order inactivation kinetics (C is true). 4. A LOWER $z$-value means a smaller temperature rise causes a ten-fold drop in $D$, indicating HIGHER temperature sensitivity (D is false).
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