Group Activity Newtons Law of Cooling If you have access

Chapter 1, Problem 1.517

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Group Activity Newton’s Law of Cooling If you have access to laboratory equipment (such as a CBL or CBR unit for your grapher), gather experimental data such as in Exercise 51 from a cooling cup of coffee. Proceed as follows:

(a) First, use the temperature probe to record the temperature of the room. It is a good idea to turn off fans and air conditioners that might affect the temperature of the room during the experiment. It should be a constant.

(b) Heat the coffee. It need not be boiling, but it should be at least 160°. (It also need not be coffee.)

(c) Make a new list consisting of the temperature values minus the room temperature. Make a scatter plot of this list (y) against the time values (x). It should appear to approach the x-axis as an asymptote.

(d) Find the equation of the exponential regression curve. How well does it fit the data?

(e) What is the equation predicted by Newton’s Law of Cooling? (Substitute your initial coffee temperature and the temperature of your room for the 190 and 72 in the equation in Exercise 51.)

(f) Group Discussion What sort of factors would affect the value of b in Newton’s Law of Cooling? Discuss your ideas with the group.

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