The rate of cooling of an object is proportional to the difference in temperature between the body and its surroundings. How much faster will a cup of water at boiling point (100.0°C) cool outside where the temperature is -10.0°C compared to in a room at temperature 20°C?

Question

Quizplus · Accepted Answer

The rate of cooling is proportional to the temperature difference. For outside, the difference is 100 - (-10) = 110°C, and for inside, it's 100 - 20 = 80°C. The ratio of these differences is 110/80 = 1.375, which rounds to 1.4, indicating cooling is 1.4 times faster outside.

The Rate of Cooling of an Object Is Proportional to the Difference