A body cools in a surrounding of constant temperature 30ºC. Its heat capacity is 2 J/ºC. Initial temperature of the body is 40ºC. Assume Newton's law of cooling is valid. The body cools to 38ºC in 10 minutes.
(i) In further 10 minutes it will cool from 38ºC to …
Text Solution
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(i)
Sol. We have 
where 
Initial temperature of body 
temperature of body after time t
Since body cools from 
to 
in 10 min , we have 
Let after 10 min . The body temp. be 
(ii)
Sol. Self explanatory.
(iii)
Sol. During heating process from 
to 
in 10 min . The body will lose heat in the surrounding which will be exactly equal to the heat last when it cooled from 
to 
in 10 min ., which is equal to 
4 J .
During heating process heat required by the body 
.
Total heat required 
.
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