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Certain quantity of water cools from 70°C to 60°C in the first 5 minutes and to 54°C in the next 5 minutes. The temperature of the surroundings is:

1. 45°C
2. 20°C
3. 42°C
4. 10°C

Correct answer: 42°C

Solution

Using Newton's law of cooling, the rate of cooling is proportional to the temperature difference between the object and its surroundings. By comparing the cooling rates in the two intervals, the surrounding temperature is calculated to be approximately 42°C.

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