Subtopic: Processing of seeds, spices, fruits and vegetables
Question Statement:
The equation representing the heat of respiration (q) of fruits and vegetables as a function of temperature (θ) with positive constants a and b is
Options:
(A) q=ae^(bθ)
(B) q=ae^(−bθ)
(C) q=a+b·ln(θ)
(D) q=a+bθ
Official Answer Key:
A
Step-by-Step Solution & Explanation
The respiration rate (and associated heat of respiration) of fresh produce increases approximately exponentially with temperature, consistent with an Arrhenius-type temperature dependence — this is modeled as q = a·e^(bθ), with both a and b positive constants, so that q rises steeply as temperature θ increases (a widely used empirical model in postharvest physiology/storage design). Answer: (A) q = ae^(bθ).
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