Physics

Physics

Problem

A cup of coffee at 90 ∘C90\,^{\circ}\mathrm{C} is placed inside a large evacuated chamber whose inner walls are at 20 ∘C20\,^{\circ}\mathrm{C}. The cup is supported by thin insulating strings and the coffee surface is directly exposed to the vacuum. Which single mode of heat transfer will chiefly cool the coffee in this situation? State the mode and give one supporting reason.
Intuitive explanation

Radiation is the dominant heat transfer mode here. Since the chamber is evacuated, there's no air for conduction or convection to occur—only the coffee's surface can exchange thermal energy directly with the cold chamber walls through electromagnetic waves, following the Stefan-Boltzmann law.

Intuitive explanation

Radiation is the dominant heat transfer mode here. Since the chamber is evacuated, there's no air for conduction or convection to occur—only the coffee's surface can exchange thermal energy directly with the cold chamber walls through electromagnetic waves, following the Stefan-Boltzmann law.

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