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In a container some water is filled at t...

In a container some water is filled at temperature` 50^(@)C`.It cools to` 45^(@)C` in 5 minutes and to `40^(@)C` in next 8 minutes. If we assume Newton's law of cooling to be valid in this case, find the surrounding temperature.

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To solve the problem using Newton's Law of Cooling, we will follow these steps: ### Step 1: Understand the given data - Initial temperature of water, \( T_1 = 50^\circ C \) - Temperature after 5 minutes, \( T_2 = 45^\circ C \) - Temperature after an additional 8 minutes, \( T_3 = 40^\circ C \) - Time taken to cool from \( T_1 \) to \( T_2 \) is \( t_1 = 5 \) minutes. - Time taken to cool from \( T_2 \) to \( T_3 \) is \( t_2 = 8 \) minutes. ...
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Knowledge Check

  • A body cools from 50^(@)C to 46^(@)C in 5 minutes and to 40^(@)C in the next 10 minutes. The surrounding temperature is :

    A
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    B
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    `15^(@)C`
    C
    `20^(@)C`
    D
    `25^(@)C`

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    A
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