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# The initial temperature of a body is 80 degree celcius If its temperature falls to 64 degree celcius in 5 min and in 10 min to 52 degree celcius then the temperature of surrounding will be  Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear pallavi

assume newtons law of cooling

dT/dt =-k(T-To)  ...................1

To is the temperature of sorrunding

dT = 64-80 =-16

so dT/dt  =-16/5  oC /min

mean temperature T = (80 + 64)/2 = 72

so put these value in equation 1

-16/5 = -k(72 -To)   ....................a

for the next 5 sec

mean temperature T = (64 + 52)/2 =58

and dT/dt = (52-64)/5 = -12/5

so put again in equation  1

-12/5  = -k( 58 - To) ............b

now  divide equation a by b

16/12   = (72-To) /(58-To)

To =16

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