Newton's Law of Cooling expresses the relationship between the temperature of a cooling
object y and the time t elapsed since cooling began, in minutes. This relationship is given
by y = ae^-k2 +c, where c is the temperature of the medium surrounding the cooling object,
a is the difference between the initial temperature of the object and the surrounding
temperature, and k is a constant related to the cooling object.
- The initial temperature of a liquid is 160° F. When it is removed from the heat, the
temperature in the room is 76° F. For this object, k = 0.23. Use Newton's Law of Cooling
to find the temperature of the liquid after 15 minutes.
73.6° F
79.2 F
78.7 F
83.5° F