A given sample of milk turns sour at room temperature (27°C) in 16 h. In a refrigerator at 7°C, milk can be stored three times as long before it sours. How long (in hours) it takes milk to sour at 57°

Question

A given sample of milk turns sour at room temperature (27°C) in 16 h. In a refrigerator at 7°C, milk can be stored three times as long before it sours. How long (in hours) it takes milk to sour at 57°C?

Prashant Kotian · Accepted Answer

Correct answer: 4. The rate triples for a 20°C decrease (from 27°C to 7°C), implying a strong temperature dependence. Assuming a consistent multiplier mapping, increasing the temperature by 30°C (from 27°C to 57°C) involves scaling the rate effectively by a factor of ~4 (approximating 3^1.27 ≈ 4 in exponential kinetics). Time at 57°C = 16 / 4 = 4 hours. Therefore, correct answer is 4.

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