The temperature of a body in a surrounding of temperature `16^(@)C` falls from `40^(@)C` to `36^(@)C` in 5 mins. Assume Newtons law of cooling to be valid and find the time taken by the body to reach temperature `32^(@)C`.

Explanation

To solve the problem using Newton's Law of Cooling, we will follow these steps:

### Step 1: Understand Newton's Law of Cooling
Newton's Law of Cooling states that the rate of change of temperature of an object is proportional to the difference between its own temperature and the ambient temperature. Mathematically, it can be expressed as:
\[ \frac{dT}{dt} = -k (T - T_s) \]
where:
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