Newton's Law of Cooling: Which container should be purchased?
Not what you're looking for?
Please see the attached file for the fully formatted problems.
A fast-food restaurant wants a special container to hold coffee. The restaurant wishes the container to quickly cool the coffee from 200F to 130F and keep the liquid between 110F and 130 F as long as possible. The restaurant has three containers to select from.
(1) The CentiKeeper Company has a container that reduces the temperature of a liquid from 200 F to 100 F in 30 minutes by maintaining a constant temperature of 70 F.
(2) The TempControl Company has a container that reduces the temperature of a liquid from 200 F to 110 F in 25 minutes by maintaining a constant temperature of 60 F.
(3) The Hot'n'Cold Company has a container that reduces the temperature of a liquid from 200 F to 120 F in 20 minutes by maintaining a constant temperature of 65 F.
You need to recommend the container the restaurant should purchase.
(a) Use Newton's Law of Cooling to find a function relating the temperature of a liquid over time.
(b) Graph each function using a graphing utility.
(c) How long does it take each container to cool the coffee temperature from 200 F to 130 F?
(d) How long will coffee temperature be between 110 F and 130 F? This temperature is considered the optimum drinking temperature.
(e) Which company would you recommend to the restaurant? Why?
(f) How might the cost of the container affect your decision?
Purchase this Solution
Solution Summary
Newton's Law of Cooling is used to decide which of a group of containers should be purchased, given temperature data.
Purchase this Solution
Free BrainMass Quizzes
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
The Moon
Test your knowledge of moon phases and movement.