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

Time (min) | Temp (F) |

0 | 180 |

5 | 126 |

10 | 94 |

15 | 80 |

20 | 73 |

Guest Mar 10, 2019

#1**0 **

Are you studying Newton's Law of Cooling? I THINK this is how to solve this Q:

T(t) = Ta + (Ti-Ta)e^-kt Ti = initial temp Ta = Temp ambient

T(t) = 126 = 70 + (180-70) e^-k5 results in k = .1350257

120 = 70+ (180-70)e^-(.1350257t) t = 5.84 minutes = 5 minutes 50 seconds

ElectricPavlov Mar 11, 2019