The Cooling Coffee Mug · AI Generator #GEN-E15F07ED

Physics · thermodynamics

Problem

A ceramic coffee mug contains 250  mL250\;\text{mL} of hot coffee at an initial temperature of 85°C85°\text{C}. The mug is placed in a room at 22°C22°\text{C}. After 1010 minutes, the coffee temperature has dropped to 65°C65°\text{C}. Assuming the coffee cools according to Newton's law of cooling, which states that the rate of temperature change is proportional to the temperature difference between the object and its surroundings, find the temperature of the coffee after 2020 minutes total. Take the density of coffee to be approximately equal to that of water: ρ=1.0  g/mL\rho = 1.0\;\text{g/mL}.

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