Homework Help is Here – Start Your Trial Now!
Science
Physics
(a) (i) Calculate the final temperature of the coffee and Al block when the system comes to equilibrium? (ii) In order the check your answer in (i) also calculate the amount of heat that will flow from the coffee as well as the amount of heat taken up by the aluminium. (iii) Assume that it takes three minutes for this system to come into equilibrium. Calculate the average rate of heat flow over this time ? (iv) Do you expect the rate of heat flow calculated in (ii) above to be constant during the three minutes ? Explain your answer and make a sketch of the expected heat flow over time to illustrate your answer. (b) However, it may not be the best idea to drop a block of cold aluminium in your coffee every morning. An alternative is to drop an ice block of exactly the same dimensions into the coffee.

(a) (i) Calculate the final temperature of the coffee and Al block when the system comes to equilibrium? (ii) In order the check your answer in (i) also calculate the amount of heat that will flow from the coffee as well as the amount of heat taken up by the aluminium. (iii) Assume that it takes three minutes for this system to come into equilibrium. Calculate the average rate of heat flow over this time ? (iv) Do you expect the rate of heat flow calculated in (ii) above to be constant during the three minutes ? Explain your answer and make a sketch of the expected heat flow over time to illustrate your answer. (b) However, it may not be the best idea to drop a block of cold aluminium in your coffee every morning. An alternative is to drop an ice block of exactly the same dimensions into the coffee.

College Physics
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)...
See similar textbooks
icon
Related questions
Question

question in photo please

Q5) Your morning coffee with a volume of 250 ml and at a temperature of 80 °C is in a theoretically perfectly insulated travel mug. However, you are late for class and in order to try to cool this quickly you decide to drop a small piece of aluminium that you had cooled in the freezer into the coffee. This piece of metal has dimensions 12 x 15 x 15 mm and is at a temperature of - 15 °C. Given: Pwater = 1000 kg.m3 PAI = 2700 kg.m-3 Cwater = 4200 J.kg1K-1 CAI = 898 J.kg ²K-1 (a) (i) Calculate the final temperature of the coffee and Al block when the system comes to equilibrium? (ii) In order the check your answer in (i) also calculate the amount of heat that will flow from the coffee as well as the amount of heat taken up by the aluminium. (iii) Assume that it takes three minutes for this system to come into equilibrium. Calculate the average rate of heat flow over this time ? (iv) Do you expect the rate of heat flow calculated in (iii) above to be constant during the three minutes ? Explain your answer and make a sketch of the expected heat flow over time to illustrate your answer. (b) However, it may not be the best idea to drop a block of cold aluminium in your coffee every morning. An alternative is to drop an ice block of exactly the same dimensions into the coffee. (i) Calculate whether this will lead to more or less cooling of the coffee than the cold metal ? Hint: Keep in mind that the ice will melt – what constant(s) to we need to describe this phase change process ? (We will soon be discussing phase change processes in class.) (ii) Explain why the ice is more/less efficient at removing heat from the hot coffee.
Transcribed Image Text:Q5) Your morning coffee with a volume of 250 ml and at a temperature of 80 °C is in a theoretically perfectly insulated travel mug. However, you are late for class and in order to try to cool this quickly you decide to drop a small piece of aluminium that you had cooled in the freezer into the coffee. This piece of metal has dimensions 12 x 15 x 15 mm and is at a temperature of - 15 °C. Given: Pwater = 1000 kg.m3 PAI = 2700 kg.m-3 Cwater = 4200 J.kg1K-1 CAI = 898 J.kg ²K-1 (a) (i) Calculate the final temperature of the coffee and Al block when the system comes to equilibrium? (ii) In order the check your answer in (i) also calculate the amount of heat that will flow from the coffee as well as the amount of heat taken up by the aluminium. (iii) Assume that it takes three minutes for this system to come into equilibrium. Calculate the average rate of heat flow over this time ? (iv) Do you expect the rate of heat flow calculated in (iii) above to be constant during the three minutes ? Explain your answer and make a sketch of the expected heat flow over time to illustrate your answer. (b) However, it may not be the best idea to drop a block of cold aluminium in your coffee every morning. An alternative is to drop an ice block of exactly the same dimensions into the coffee. (i) Calculate whether this will lead to more or less cooling of the coffee than the cold metal ? Hint: Keep in mind that the ice will melt – what constant(s) to we need to describe this phase change process ? (We will soon be discussing phase change processes in class.) (ii) Explain why the ice is more/less efficient at removing heat from the hot coffee.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Circuits
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON
SEE MORE TEXTBOOKS