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GATE 2026 AG – Question 47

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

Milk can be pasteurized at 91°C for 3 s or at 73°C for 30 s to give the same sterilization value 10. Find the nearest thermal-death-time temperature constant z, in °C.

  1. 18.0
  2. 1.8
  3. 9.0
  4. 0.9

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Correct answer: (A) 18.0

Explanation

At equal lethality, thermal processing times vary as $t\propto10^{-T/z}$. Thus $\log_{10}(t_{73}/t_{91})=(91-73)/z$. The time ratio is $30/3=10$,whose base-ten log is one. Hence $z=18/1=\mathbf{18.0^\circ C}$,option **A**;the equal sterilization value cancels.

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