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GATE 2024 AG – Question 44

Dairy and Food Engineering · Preservation of Food · 2 marks · Multiple choice

Thermophilic spores in milk have D₁₂₁=60 seconds and z=11°C. Find time at 141°C for a 10-log population reduction, in seconds.

  1. 0.28
  2. 0.91
  3. 2.81
  4. 9.12

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Correct answer: (D) 9.12

Explanation

The temperature dependence is $D_T=D_{121}10^{(121-T)/z}$. Thus $D_{141}=60\cdot10^{-20/11}=.911947$ s. Ten decimal reductions require $10D_{141}=9.11947$ s, closest to **9.12 seconds, D**. The factor10 for lethality is separate from the base10 temperature relation.

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