
Concept explainers
Cooling. After warming the water in a hot tub to 100°, the heating element fails. The surroundings air temperature is 40°, and in 5 min the water temperature drops to 95°.
a. Find the value of the constant a in Newton’s Law of Cooling.
b. Find the value of the constant k. Round to five decimal places.
c. What is the water temperature after 10 min?
d. How long does it take the water to cool to 41°?
e. Find the rate of change of the water temperature, and interpret its meaning.

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