Question Bank • QB_DFE_EXP_040 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Preservation of Food

Subtopic: Kinetics of microbial death – pasteurization and sterilization of milk and other liquid foods

Question Statement:

A bacterial spore suspension has a decimal reduction time $D_{110} = 8.0\text{ minutes}$ and thermal resistance constant $z = 10.0^\circ\text{C}$. The $D$-value at $120.0^\circ\text{C}$ ($D_{120} = D_{110} \times 10^{-(T - 110)/z}$) in minutes is ________ (round off to 2 decimal places).

Answer Key:

0.8

Step-by-Step Solution & Explanation

Thermal resistance relationship ($z$-value equation): $\log_{10} \left(\frac{D_1}{D_2}\right) = \frac{T_2 - T_1}{z}$ $D_2 = D_1 \times 10^{-(T_2 - T_1)/z}$ Given: • $T_1 = 110^\circ\text{C}, D_1 = 8.0\text{ min}$ • $T_2 = 120^\circ\text{C}$ • $z = 10.0^\circ\text{C}$ $D_{120} = 8.0 \times 10^{-(120 - 110)/10} = 8.0 \times 10^{-1} = 0.80\text{ minutes}$
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