Suppose you are trying to cool down a beverage. Will the room-temperature soda you bought be cool in time for your party? Now you can calculate how long it will take the beverage to reach the temperature of the refrigerator. All you need to do is apply Newton’s law of cooling.
Newton’s law of cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the object’s surroundings. Simply put, a glass of hot water will cool down faster in a cold room than in a hot room. This simple principle is relatively easy to prove, and the experiment has repeatable and reproducible results. This experiment is also a great opportunity for a cross-curricular lesson involving physics and advanced math courses such as Algebra II, Pre-Calculus, and Calculus.
source - Internet