Question

A body initially at C cools to C in 10 min. What will be it's temperature at the end of the next 10 min. if the roc temperature is C.Assume newton's law of cooling.

A

C

B

C

C

C

D

C

Medium

Solution

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Correct option is A)

According newton's law of cooling,
                   
        where, T= temp. at any time t
                    =initial temp.
                   =surrounding temp.
                    t=time
                    k=cooling constant
since body cools initially from 60 to 50 in 10 min.
so from above equation,
                      50=20+(60-20)
                                                                 ................eqution(1)
we need to find the temp. at the end of next 10 min. i.e. 20 min. from start
so again using newton's law of cooling formula,
                     
                   T=20+(60-20)
                    T=20+(40)           ..................equation (2)
from equation (1) and (2), we get
                    T=20+(40)
                    T=42.5 

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