JackWolf9655 JackWolf9655

08-05-2024
Physics

Answered

A watermelon is taken out of the refrigerator at a uniform temperature of 5°C and is exposed to 27°C air. Assume that the watermelon can be approximated as a sphere and the temperature of the watermelon is uniform. The estimated parameters are: density of watermelon p = 120 kg/m3, diameter of the watermelon D= 40 cm, specific heat capacity c= 4200 J/(kg•°C), and heat transfer coefficient h= 15 W/(m2-°C).
Derive the differential equation relating the watermelon's temperature T(t) and the air temperature.

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