By Newton’s law of cooling the temperature T of a cooling object as a function of time is
TO - initial temperature,
T1 is ambient temperature (meaning the temperature outside the cooling object)
k is constant
-32C was the te,perature when electricity was cut off and heating of a house stopped working. After 2 hours from the power cut the inside temperature was measured to be 19,2 C, and after that the following measurements were done:
2,5 hours: 18,3 oC
3,0 hours: 17,5 oC
3,5 hours: 16,6 oC
4,0 hours: 15,8 oC
4,5 hours: 14,9 oC
5,0 hours: 14,2 oC
Supposing Newton’s cooling law to be valid in this case,
T0 initial temperature (which is the temperature at moment t=0 when the power was cut off). Try also to predict when the inside temperature will be dropped below zero.
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Substitude k into the first equation
and now ?????????????