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A cake recipe says to bake the cake until the center is 180 degrees, then let the cake cool to 120 degrees. Given the room temperature of 70 degrees, how long does it take the cake to cool to the desired temperature

Guest Feb 12, 2019

edited by
Guest
Feb 12, 2019

#1**+1 **

This falls under Newton's Law of Cooling

We have that

Final Temp = Room Temp + ( Initial Temp - Room Temp) * e ^(-cooling constant * time)

So we have

120 = 70 + (180 - 70)* e^(-k * t)

The problem here is that we need to know the cooling constant (k) to find the time, t

Do you know what "k" is ???

CPhill Feb 12, 2019