Use Newton’s Law of Cooling, T = C + ( T 0 − C ) e k t , to solve exercise 47-50. A bottle of juice initially has a temperature of 70°F. It is left to cool in a refrigerator that has a temperature of 45°F. After 10 minutes, the temperature of the juice is 55°F. a. Use Newton’s Law of Cooling to find a model for the temperature of the juice, T, after t minutes. b. What is the temperature of the juice after 15 minutes? c. When will the temperature of the juice be 50°F?
Use Newton’s Law of Cooling, T = C + ( T 0 − C ) e k t , to solve exercise 47-50. A bottle of juice initially has a temperature of 70°F. It is left to cool in a refrigerator that has a temperature of 45°F. After 10 minutes, the temperature of the juice is 55°F. a. Use Newton’s Law of Cooling to find a model for the temperature of the juice, T, after t minutes. b. What is the temperature of the juice after 15 minutes? c. When will the temperature of the juice be 50°F?
Solution Summary: The author calculates the temperature of a heated object, T, after t minutes by using Newton's law of Cooling.
Use Newton’s Law of Cooling,
T
=
C
+
(
T
0
−
C
)
e
k
t
, to solve exercise 47-50.
A bottle of juice initially has a temperature of 70°F. It is left to cool in a refrigerator that has a temperature of 45°F. After 10 minutes, the temperature of the juice is 55°F.
a. Use Newton’s Law of Cooling to find a model for the temperature of the juice, T, after t minutes.
b. What is the temperature of the juice after 15 minutes?
c. When will the temperature of the juice be 50°F?
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