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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
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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