(a)
The amount of ice need to be put in
(a)
Answer to Problem 48P
The mass of ice need to be added is
Explanation of Solution
The temperature of the ice is
The change in internal energy of the ice-water system is zero.
Write the equation for the first law of
Here,
The temperature of the water changes from
Write the equation for the heat change of the water.
Here,
The temperature of the ice first changes from
Write the equation for the heat change of the ice.
Here,
Substitute equation (II) and (III) in equation (I).
Re-write the above equation to get an expression for
Conclusion:
Substitute
The mass of ice need to be added is
(b)
The final temperature if half of the ice as section (a) is added to the water.
(b)
Answer to Problem 48P
The final temperature is
Explanation of Solution
The temperature of the ice is
The change in internal energy of the ice-water system is zero.
Write the equation for the first law of thermodynamic for the system.
Here,
The temperature of the water changes from
Write the equation for the heat change of the tea.
Here,
The temperature of the ice first changes from
Write the equation for the heat change of the ice.
Here,
Substitute equation (II) and (III) in equation (I).
Re-write the above equation to get an expression for
Conclusion:
Substitute
The final temperature is
Want to see more full solutions like this?
Chapter 14 Solutions
Physics
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON