The Coffee Cup Heat Loss Mystery · AI Generator #GEN-ACFAC8D8
Physics · thermodynamics
Problem
A barista notices that identical coffee cups cool at different rates depending on their initial temperature. She conducts an experiment with two identical ceramic cups, each containing 200ml of coffee in a room at Troom=20°C. The first cup starts at T1=80°C and the second at T2=60°C. After exactly 5minutes, she measures their temperatures and finds that the first cup has cooled by ΔT1=15°C while the second cup has cooled by only ΔT2=8°C. Assuming Newton's law of cooling applies, what will be the temperature of the first cup after an additional 5minutes (i.e., 10minutes total)?