1. What is the Newton’s Law of Cooling?

It says that the temperature of a body changes with a rate relative to the temperature of its surroundings or environment.

2. What variables in your problem correspond with the variables in the Newton’s Law of Cooling?

The body was found à T= 9:10 PM º = 96 degrees

T= 9:16 PM º = 95 degrees

T= 0 º = 101 degrees (but was possible illed)

Library’s temperature à T= 8:00 PM º = 75 degrees

T= 9:00 PM º= 70 degrees

3. According to this Law, at what time approximately the death happened?
4. How does the room temperature affect the time of death?

As we know, the Newton’s law of cooling compares the temperature of the body with the one of the room or environment, so it depends on the different temperatures of the room at different times to determine the time of death.

5. How does an illness (e.g. fever) affect the time of death?

It affects because the temperature of the body before being killed is unknown, and it would be uncertain to give a “possible temperature” because having the equations done, the time will be different by seconds or minutes, which will affect the results.

6. How exact is the approximation of the Newton’s Law of Cooling for predicting the time of death?

It depends on the environment in which the body is, and the health of the body as well, if the environment’s temperature is constantly changing, it is harder to get an exact result and if the body has fever is the same (question 4&5), but the answer would be aprroximated indeed.