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  • Hot water kept in a beaker placed in a room cools from 70oC to 60oC in 4 minutes. The times taken by it to cool from 69oC to 59oC will be<div class='

Hot water kept in a beaker placed in a room cools from 70oC to 60oC in 4 minutes. The times taken by it to cool from 69oC to 59oC will be

Option: 1

4 min


Option: 2

More than  4 mins


Option: 3

less than 4 mins


Option: 4

we cannot say definately


Answers (1)

best_answer

As we have learnt,

 

Newton's Law of Cooling -

\frac{d\theta}{dt}\alpha(\theta-\theta_{0})

- wherein

Temperature difference is not very large.

 

 

\frac{d\theta}{dt}\propto\left(\frac{\theta_1 +\theta_2}{2}-\theta_{0}\right)

\left(\frac{\theta_1 +\theta_2}{2}-\theta_{0}\right)_1 > \left(\frac{\theta_1 +\theta_2}{2}-\theta_{0}\right)_2

Hence time taken in 2nd time is more

Posted by

Rishi

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