When a pizza comes out of the oven, it has a temperature of 200 °C. This temperature slowly cools down to room temperature, which is 20 °C. At 5:30, the temperature of the pizza is 39.3 °C, at 5:35, it is only 26.3 °C. The temperature of the pizza as a function of time t can be modelled by a function of the form Ta.b-t +c, where T is the temperature of the pizza (in °C), t is the time in minutes starting from 5:30 and a, b and c are positive constants (and b > 1). Note that we do not measure time from the moment the pizza comes out of the oven: that would complicate the calculations unnecessarily. a. Find the value of the constant c. (Hint: consider the temperature evolution of the pizza in the long term.) b. Find the value of the constant a. (Hint: consider the situation at t = 0.) c. At what time did the pizza get out of the oven?

When a pizza comes out of the oven, it has a temperature of 200 °C. This temperature slowly cools down to room temperature, which is 20 °C. At 5:30, the temperature of the pizza is 39.3 °C, at 5:35, it is only 26.3 °C. The temperature of the pizza as a function of time t can be modelled by a function of the form Ta.b-t +c, where T is the temperature of the pizza (in °C), t is the time in minutes starting from 5:30 and a, b and c are positive constants (and b > 1). Note that we do not measure time from the moment the pizza comes out of the oven: that would complicate the calculations unnecessarily. a. Find the value of the constant c. (Hint: consider the temperature evolution of the pizza in the long term.) b. Find the value of the constant a. (Hint: consider the situation at t = 0.) c. At what time did the pizza get out of the oven?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Calorimetry

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Question

17. When a pizza comes out of the oven, it has a temperature of 200 °C. This temperature slowly cools
down to room temperature, which is 20 °C. At 5:30, the temperature of the pizza is 39.3 °C, at 5:35, it is
only 26.3 °C. The temperature of the pizza as a function of time t can be modelled by a function of the
form Ta bt +c, where T is the temperature of the pizza (in °C), t is the time in minutes starting
from 5:30 and a, b and c are positive constants (and b > 1). Note that we do not measure time from
the moment the pizza comes out of the oven: that would complicate the calculations unnecessarily.
a. Find the value of the constant c. (Hint: consider the temperature evolution of the pizza in the
long term.)
b. Find the value of the constant a. (Hint: consider the situation at t = 0.)
c. At what time did the pizza get out of the oven?

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