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If a liquid takes 30 seconds in cooling ...

If a liquid takes `30` seconds in cooling of `80^(@)C` to ` 70^(@)C` and `70` seconds in cooling `60^(@)C` to `50^(@)C`, then find the room temperature.

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To solve the problem of finding the room temperature based on the cooling times of a liquid, we can use Newton's Law of Cooling. The law states that the rate of heat loss of a body is directly proportional to the difference in temperature between the body and its surroundings, provided this difference is small. ### Step-by-Step Solution: 1. **Identify the Given Data**: - The liquid cools from \(80^\circ C\) to \(70^\circ C\) in \(30\) seconds. - The liquid cools from \(60^\circ C\) to \(50^\circ C\) in \(70\) seconds. ...
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