Concept explainers
A 0.40-kg iron horseshoe, just forged and very hot (Fig. 14-16), is dropped into 1.25 L of water in a 0.30-kg iron pot initially at 20 0°C. If the final equilibrium temperature is 25.0°C, estimate the initial temperature of the hot horseshoe.
Figure 14-16
Temperature of horseshoe
Answer to Problem 15P
Solution:
Temperature of horseshoe is 26.46 C.
Explanation of Solution
Given:
is the specific heat of iron which is 460 J/kgk
is the specific heat of iron which is 460 J/kgk
is the specific heat of water which is 4186 J/kgk
is the mass of iron horseshoe which is 40 kg
is the mass of iron pot which is 0.30 kg
is the mass of water
is density of water is 1000 kg/cu.m
is volume which is 1.25 L
is the temperature of iron horseshoe
is the temperature of iron pot which is 20 C
is the temperature of water which is 20 C
is equilibrium temperature which is 25 C
Formula Used:
The formula used is the relation between temperature and specific heat from thermodynamics
Where,
is the heat transferred
is the specific heat
is the mass
is the final temperature
is the initial temperature
From the formula above, the equilibrium temperature formula for calorimetry can be derived.
If two materials , and calorimeter with temperatures , and are in contact, then they will reach an equilibrium temperature .
This equilibrium temperature is given by equating the heat transferred by the three materials.
Equating the heat transferred is
This becomes
Where,
is the specific heat of material
is the specific heat of material
is the specific heat of material
is the mass of material
is the mass of material
is the mass of material
is the temperature of material
is the temperature of material
is the temperature of material
is equilibrium temperature
Calculation:
The mass of water is determined by the multiplying density with volume
Volume by the multiplying is 1.25 L. 1000 L is 1 cu.m. So 1.25 L is 0.00125cu.m.
Mass is now
kg
Inserting the given values in the equilibrium temperature formula for calorimetry:
C
Chapter 14 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
University Physics Volume 1
Essential University Physics (3rd Edition)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Conceptual Physical Science (6th Edition)
College Physics
College Physics: A Strategic Approach (3rd Edition)
- 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