High School

A body cools from 60 degrees Celsius to 50 degrees Celsius in 10 minutes. If the room temperature is 25 degrees Celsius and assuming Newton's cooling law holds true, what is the temperature of the body at the end of the next 10 minutes?

1. 45 degrees Celsius
2. 42.85 degrees Celsius
3. 40 degrees Celsius
4. 38.5 degrees Celsius

Answer :

Answer:

Using Newton's Law of Cooling, it can be qualitatively stated that the temperature will not drop by the same 10°C in the next 10 minutes because the rate of heat loss decreases as the temperature difference between the body and the environment decreases.

Explanation:

The student's question involves the application of Newton's Law of Cooling, which is a principle in thermodynamics. According to Newton's law, the rate at which an object cools is proportional to the temperature difference between the object and its surrounding environment. The cooling process is not linear; as the object approaches the ambient temperature, the rate of heat loss decreases. Therefore, the temperature of the body will not drop by the same amount in successive equal-time intervals unless the difference in the temperature remains constant, which is typically not the case.

In the scenario provided, the body has initially cooled from 60°C to 50°C in 10 minutes. To find the temperature of the body at the end of the next 10 minutes, we need more information such as the specific heat capacity of the body and the shape or area involved in heat transfer. However, we can qualitatively say that the temperature will not drop another 10°C because the difference between the body temperature and the room temperature has reduced, and thus, the rate of heat loss will be lower.

In light of this, none of the provided answer choices can be definitively confirmed as correct without additional data. The problem cannot be solved solely with information provided in the question, as it requires more complicated calculations or experimental data based on the specific parameters of the system.