Final answer:
The question pertains to Physics and involves the cooling of coffee, which is a topic in thermodynamics and calorimetry. However, without additional information or assumptions, the question cannot be accurately answered.
Step-by-step explanation:
The subject of this question is Physics, specifically related to thermodynamics and calorimetry. The given scenario describes a coffee cooling process, which involves heat transfer from the coffee to the surrounding environment.
This is a practical application of the principles of heat transfer and can be analyzed using Newton's Law of Cooling. However, it requires additional information or assumptions to solve it analytically, as the question appears to be incomplete and lacks a clear model or equation to determine the time it would take for the coffee to cool from 65°C to 25°C.
Normally, if the rate of cooling is proportional to the temperature difference between the object and the environment, we could apply the formula related to exponential decay, but without it, it is not possible to provide an accurate answer.
To determine the time it takes for the coffee to cool from 96°C to 25°C, we can use Newton's law of cooling. According to this law, the rate at which an object cools is proportional to the difference between its temperature and the temperature of its surroundings. In this case, the temperature difference is 96°C - 25°C = 71°C.
We know that it took 8 minutes for the coffee to cool from 96°C to 65°C. So, the temperature difference of 71°C was covered in 8 minutes. We can set up a proportion to find the time it takes for the coffee to cool to 25°C:
(71°C) / (8 minutes) = (46°C) / (x minutes)
By cross-multiplying and solving for x, we find that it takes approximately 5.82 minutes for the coffee to cool to 25°C.