To determine The minimum mass of ice that could be added to the water in Example 17.4 to end up with a final temperature of 0 ° C . Explanation Write the equation for the energy needed to heat the ice from − 10 ° C to 0 ° C . Q 1 = m ice c ice ( T f ice − T i ice ) (I) Here, Q 1 is the energy needed to heat the ice, m ice is the mass of the ice, c ice is the specific heat capacity of ice, T f ice is the final temperature of ice, T i ice is the initial temperature of ice. The specific heat capacity of ice is 2050 J/kg ⋅ K . Write the equation for the energy needed to melt the ice. Q 2 = m ice L f (II) Here, Q 2 is the energy required to melt the ice , L f is the latent heat of fusion. The value of latent heat of fusion of ice is 334 kJ/kg . Write the equation for the energy required to warm up the newly melted water to the equilibrium temperature. Q 3 = m ice c water ( T − T i ′ water ) (III) Here, Q 3 is the heat energy required to warm up the newly melted water to the equilibrium temperature, c water is the specific heat capacity of water, T is the equilibrium temperature, T i ′ water is the initial temperature of the melted water The energy of the water is used for the transition of the ice at − 10 ° C to water at equilibrium temperature. Q = Q 1 + Q 2 + Q 3 (IV) Here, Q is the energy lost from water. Write the equation for the energy lost from water. Q = m water c water ( T 0 water − T ) (V) Here, m water is the mass of water, T 0 water is the initial temperature of water. Use equations (I) and (II) in equation (III) and (V) in equation (IV), m water c water ( T 0 water − T ) = Q 1 + Q 2 + m ice c water ( T − T i ′ water ) (VI) Rewrite the above equation for T . T = m water c water T 0 water + m ice c water T i ′ water − Q 1 − Q 2 ( m ice + m water ) c water (VII) The specific heat capacity of water is 4184 J/kg ⋅ K . Conclusion: Substitute 66 g for m ice , 2050 J/kg ⋅ K for c ice , 0 ° C for T f ice and − 10 ° C for T i ice in the above equation to find Q 1

4th Edition

ISBN: 9780135272947

Author: Wolfson

Publisher: VST

See similar textbooks

Concept explainers

Energy transfer

The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.

Molar Specific Heat

Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)

Thermal Properties of Matter

Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which…

Videos

Question

Chapter 17, Problem 31E

To determine

The minimum mass of ice that could be added to the water in Example 17.4 to end up with a final temperature of 0°C.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 17, Problem 30E

Chapter 17, Problem 32E

Chapter 17 Solutions

EBK ESSENTIAL UNIVERSITY PHYSICS, VOLUM

Ch. 17.1 - If you double the kelvin temperature of a gas,...Ch. 17.2 - You bring a pot of water to boil and then forget...Ch. 17.3 - The figure shows a donut-shaped object. If its...Ch. 17 - Prob. 1FTD Ch. 17 - Why are you supposed to check tire pressure when...Ch. 17 - The average speed of the molecules in a gas...Ch. 17 - Suppose you start running while holding a closed...Ch. 17 - Prob. 5FTD Ch. 17 - Whats the temperature of water just under the ice...Ch. 17 - Ice and water have been together in a glass for a...

Ch. 17 - Which takes more heat: melting a gram of ice...Ch. 17 - The triple point of water defines a precise...Ch. 17 - A bimetallic strip consists of thin pieces of...Ch. 17 - Marss atmospheric pressure is about 1% that of...Ch. 17 - Prob. 12E Ch. 17 - Whats the pressure of an ideal gas if 3.5 mol...Ch. 17 - Prob. 14E Ch. 17 - (a) If 2.0 mol of an ideal gas are initially at...Ch. 17 - A pressure of 1010 Pa is readily achievable with...Ch. 17 - In which gas are the molecules moving faster:...Ch. 17 - How much energy does it take to melt a 65-g ice...Ch. 17 - It takes 200 J to melt an 8.0-g sample of one of...Ch. 17 - If it takes 840 kJ to vaporize a sample of liquid...Ch. 17 - Carbon dioxide sublimes (changes from solid to...Ch. 17 - Prob. 22E Ch. 17 - You have exactly 1 L of ethyl alcohol at room...Ch. 17 - A Pyrex glass marble is 1.00000 cm in diameter at...Ch. 17 - At 0C, the hole in a steel washer is 9.52 mm in...Ch. 17 - Suppose a single piece of welded steel railroad...Ch. 17 - Example 17.1: Typical atmospheric pressure at the...Ch. 17 - Prob. 28E Ch. 17 - Prob. 29E Ch. 17 - Prob. 30E Ch. 17 - Example 17.4: Repeal the calculation of Example...Ch. 17 - When 200 g of ice at –10°C are added to 1.0 kg of...Ch. 17 - Example 17.4: A mountain glacier ends in a small...Ch. 17 - Prob. 34E Ch. 17 - Prob. 35P Ch. 17 - Prob. 36P Ch. 17 - A compressed air cylinder stands 100 cm tall and...Ch. 17 - Youre a lawyer with an unusual case. A...Ch. 17 - A 3000-mL flask is initially open in a room...Ch. 17 - The recommended treatment for frostbite is rapid...Ch. 17 - A stove burner supplies heat to a pan at the rate...Ch. 17 - If a 1-megaton nuclear bomb were exploded deep in...Ch. 17 - Prob. 43P Ch. 17 - Prob. 44P Ch. 17 - A refrigerator extracts energy from its contents...Ch. 17 - Climatologists have recently recognized that black...Ch. 17 - How much energy does it take to melt 10 kg of ice...Ch. 17 - Water is brought to its boiling point and then...Ch. 17 - Prob. 49P Ch. 17 - A bowl contains 16 kg of punch (essentially water)...Ch. 17 - A 50-g ice cube at 10C is placed in an equal mass...Ch. 17 - Prob. 52P Ch. 17 - What power is needed to melt 20 kg of ice in 6.0...Ch. 17 - You put 300 g of water at 20C into a 500-W...Ch. 17 - Prob. 55P Ch. 17 - Describe the composition and temperature of the...Ch. 17 - A glass marble 1.000 cm in diameter is to be...Ch. 17 - Prob. 58P Ch. 17 - A steel ball bearing is encased in a Pyrex glass...Ch. 17 - Fuel systems of modern cars are designed so...Ch. 17 - A rod of length L0 is clamped rigidly at both...Ch. 17 - Prob. 62P Ch. 17 - A solar-heated house stores energy in 5.0 tons of...Ch. 17 - Show that the coefficient of volume expansion of...Ch. 17 - Waters coefficient of volume expansion in the...Ch. 17 - When the expansion coefficient varies with...Ch. 17 - A 50-mL graduated cylinder is made from Pyrex...Ch. 17 - The timekeeping of a grandfather clock is...Ch. 17 - Prob. 69P Ch. 17 - Prob. 70P Ch. 17 - Figure 17.12 shows an apparatus used to determine...Ch. 17 - Prob. 72P Ch. 17 - (a) Show that, for an ideal gas, the speed of...Ch. 17 - The Maxwell-Boltzmann distribution, plotted in...Ch. 17 - At high gas densities, the van der Waals equation...Ch. 17 - Prob. 76PP Ch. 17 - Prob. 77PP Ch. 17 - Because some pathogens can survive 120C...Ch. 17 - Prob. 79PP

Knowledge Booster

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
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
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...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON