Explanation 1) Concept: First, we have to find the change in the entropy ∆ S from temperature of ice T i = - 20 ℃ = 253 K and T f = 273 K and from initial temperature T i = 273 K and the final temperature T f = 313 K of water. By adding these values, we get the total change in the entropy for the ice and water. 2) Formula: i) The energy received as heat when the temperature changes by d T is: d Q = m c d T ii) The change in the entropy is ∆ S = ∫ d Q T … … … … … … … … … … … … … … … … … … … … … … … … … … … … … . . ( 20 - 1 ) iii) At melting point, the energy leaving the ice as heat is Q = m L F … … … … … … … … … … … … … … … … … … … … … … … … … … … … … … . . ( 18 - 16 ) where, L F is the heat of fusion of ice. iv) The total change in the entropy for the ice and the water is ∆ S = ∆ S 1 + ∆ S 2 + ∆ S 3 3) Given: i) The mass of the sample of the water is m = 0.600 k g . ii) The initial temperature is T i = - 20 ℃ = 253 K . iii) Increase in the temperature is 40 ℃ . 4) Calculations: As ice warms, the energy it receives as heat when the temperature changes by d T is d Q = m c I d T Where, m is the mas of ice and c I is the specific heat of ice. If temperature of ice T i = - 20 ℃ = 253 K is the initial temperature and T f = 273 K is the final temperature, then the change in its entropy is ∆ S I = ∫ d Q T ∆ S I = m c I ∫ T i T f d T T ∆ S I = m c I I n T f T i ∆ S I = 0.60 k g × 2220 J / k g

11th Edition

ISBN: 9781119813293

Author: Halliday

Publisher: WILEY

See similar textbooks

Question

Chapter 20, Problem 59P

To determine

To find

The sample’s entropy change if its temperature is increased to 40℃.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 20, Problem 58P

Chapter 20, Problem 60P

Chapter 20 Solutions

FUNDAMENTALS OF PHYSICS EXTEND 11E

Ch. 20 - Point i in Fig. 20-19 represents the initial state...Ch. 20 - In lour experiments, blocks A and B, starting ill...Ch. 20 - A gas, confined to an insulated cylinder, is...Ch. 20 - An ideal monatomic gas at initial temperature T0...Ch. 20 - In four experiments, 2.5 mol of hydrogen gas...Ch. 20 - A box contains 100 atoms in a configuration that...Ch. 20 - Does the entropy per cycle increase, decrease, or...Ch. 20 - Three Carnot engines operate between temperature...Ch. 20 - An inventor claims to have invented four engines,...Ch. 20 - Does the entropy per cycle increase, decrease, or...

Ch. 20 - SSM Suppose 4.00 mol of an ideal gas undergoes a...Ch. 20 - Prob. 2P Ch. 20 - ILW A 2.50 mol sample of an ideal gas expands...Ch. 20 - Prob. 4P Ch. 20 - ILW Find a the energy absorbed as heat and b the...Ch. 20 - a What is the entropy change of a 12.0 g ice cube...Ch. 20 - ILW A 50.0 g block of copper whose temperature is...Ch. 20 - At very low temperatures, the molar specific heat...Ch. 20 - A 10 g ice cube at 10oC is placed in a lake whose...Ch. 20 - A 364 g block is put in contact with a thermal...Ch. 20 - SSM WWW In an experiment, 200 g of aluminum with a...Ch. 20 - A gas sample undergoes a reversible isothermal...Ch. 20 - In the irreversible process of Fig. 20-5, let the...Ch. 20 - Prob. 14P Ch. 20 - A mixture of 1773 g of water and 227 g of ice is...Ch. 20 - GO An 8.0 g ice cube at -10C is put into a Thermos...Ch. 20 - Prob. 17P Ch. 20 - GO A 2.0 mol sample of an ideal monatomic gas...Ch. 20 - Suppose 1.00 mol of a monatomic ideal gas is taken...Ch. 20 - Expand 1.00 mol of an monatomic gas initially at...Ch. 20 - GO Energy can be removed from water as heat at and...Ch. 20 - GO An insulated Thermos contains 130 g of water at...Ch. 20 - A Carnot engine whose low-temperature reservoir is...Ch. 20 - A Carnot engine absorbs 52 kJ as heat and exhausts...Ch. 20 - A Carnot engine has an efficiency of 22.0. It...Ch. 20 - In a hypothetical nuclear fusion reactor, the fuel...Ch. 20 - SSM WWW A Carnot engine operates between 235C and...Ch. 20 - In the first stage of a two-stage Carnot engine,...Ch. 20 - GO Figure 20-27 shows a reversible cycle through...Ch. 20 - A 500 W Carnot engine operates between...Ch. 20 - The efficiency of a particular car engine is 25...Ch. 20 - GO A Carnot engine is set up to produce a certain...Ch. 20 - SSM ILW Figure 20-29 shows a reversible cycle...Ch. 20 - GO An ideal gas 1.0 mol is the working substance...Ch. 20 - The cycle in Fig. 20-31 represents the operation...Ch. 20 - How much work must be done by a Carnot...Ch. 20 - SSM A heat pump is used to heal a building, The...Ch. 20 - The electric motor of a heat pump transfers energy...Ch. 20 - SSM A Carnot air conditioner lakes energy from the...Ch. 20 - To make ice, a freezer that is a reverse Carnot...Ch. 20 - ILW An air conditioner operating between 93F and...Ch. 20 - The motor in a refrigerator has a power of 200 W....Ch. 20 - GO Figure 20-32 represents a Carnot engine that...Ch. 20 - a During each cycle, a Carnot engine absorbs 750 J...Ch. 20 - Prob. 45P Ch. 20 - A box contains N identical gas molecules equally...Ch. 20 - SSM WWW A box contains N gas molecules, Consider...Ch. 20 - Four particles are in the insulated box of Fig....Ch. 20 - A cylindrical copper rod of length 1.50 m and...Ch. 20 - Suppose 0.550 mol of an ideal gas is isothermally...Ch. 20 - Prob. 51P Ch. 20 - Suppose 1.0 mol of a monatomic ideal gas initially...Ch. 20 - GO Suppose that a deep shaft were drilled in...Ch. 20 - What is the entropy change for 3.20 mol of an...Ch. 20 - A 600 g lump of copper at 80.0C is placed in 70.0...Ch. 20 - Figure 20-33 gives the force magnitude F versus...Ch. 20 - The temperature of 1.00 mol of a monatomic ideal...Ch. 20 - Repeat Problem 57, with the pressure now kept...Ch. 20 - Prob. 59P Ch. 20 - A three-step cycle is undergone by 3.4 mol of an...Ch. 20 - An inventor has built an engine X and claims that...Ch. 20 - Suppose 2.00 mol of a diatomic gas is taken...Ch. 20 - A three-step cycle is undergone reversibly by 4.00...Ch. 20 - a A Carnot engine operates between a hot reservoir...Ch. 20 - A 2.00 mol diatomic gas initially at 300 K...Ch. 20 - An ideal refrigerator does 150 J of work to remove...Ch. 20 - Suppose that 260 J is conducted from a...Ch. 20 - An apparatus that liquefies helium is in a room...Ch. 20 - GO A brass rod is in thermal contact with a...Ch. 20 - A 45.0 g block of tungsten at 30.0C and a 25.0 g...Ch. 20 - Prob. 71P Ch. 20 - Calculate the efficiency of a fossil-fuel power...Ch. 20 - SSM A Carnot refrigerator extracts 35.0 kJ as heat...Ch. 20 - A Carnot engine whose high-temperature reservoir...Ch. 20 - SSM System A of three particles and system B of...Ch. 20 - Figure 20-36 shows a Carnot cycle on a T-S...Ch. 20 - Find the relation between the efficiency of a...Ch. 20 - A Carnot engine has a power of 500 W. It operates...Ch. 20 - In a real refrigerator, the low-temperature coils...

Knowledge Booster

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