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If a body cools down from to in 5 minutes, then the temperature of the body will fall from to in a time

Question

If a body cools down from T1 to T2 in 5 minutes, then the temperature of the body will fall from T1 to T2 in a time t.

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Solution

To address this question, we need to clarify the temperature values provided in the prompt. Unfortunately, those specific temperatures have not been given.

In typical cooling problems, we often apply Newton's Law of Cooling, which states that the rate of change of an object's temperature is proportional to the difference between its temperature and the ambient temperature. The formula can be expressed as:

dTdt=k(TTa) \frac{dT}{dt} = -k (T - T_a)

where:

  • T T is the temperature of the body,
  • Ta T_a is the ambient temperature,
  • k k is the cooling constant.

To find the time taken for the temperature to cool from one value to another, we would measure the cooling rate using the given conditions and apply it to the new temperatures once those values are specified. Please provide the specific temperatures, and I can offer a detailed solution!

This problem has been solved

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