THERMODYNAMICS for ENGINEERS

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An Instructor s Solutions Manual to Accompany THERMODYNAMICS for ENGINEERS KENNETH A. KROOS MERLE C. POTTER

2015 Cengage Learning ALL RIGHTS RESERVED. No part of this work covered by the copyright herein may be reproduced, transmitted, stored, or used in any form or by any means graphic, electronic, or mechanical, including but not limited to photocopying, recording, scanning, digitizing, taping, Web distribution, information networks, or information storage and retrieval systems, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the publisher except as may be permitted by the license terms below. For product information and technology assistance, contact us at Cengage Learning Academic Resource Center, 1-800-423-0563. For permission to use material from this text or product, submit all requests online at www.cengage.com/permissions. Further permissions questions can be emailed to permissionrequest@cengage.com. ISBN-13: 978-1-133-95693-8 ISBN-10: 1-133-95693-9 Cengage Learning 200 First Stamford Place, Suite 400 Stamford, CT 06902 USA Cengage Learning is a leading provider of customized learning solutions with office locations around the globe, including Singapore, the United Kingdom, Australia, Mexico, Brazil, and Japan. Locate your local office at: international.cengage.com/region. Cengage Learning products are represented in Canada by Nelson Education, Ltd. For your course and learning solutions, visit www.cengage.com/engineering. Purchase any of our products at your local college store or at our preferred online store www.cengagebrain.com. NOTE: UNDER NO CIRCUMSTANCES MAY THIS MATERIAL OR ANY PORTION THEREOF BE SOLD, LICENSED, AUCTIONED, OR OTHERWISE REDISTRIBUTED EXCEPT AS MAY BE PERMITTED BY THE LICENSE TERMS HEREIN. READ IMPORTANT LICENSE INFORMATION Dear Professor or Other Supplement Recipient: Cengage Learning has provided you with this product (the Supplement ) for your review and, to the extent that you adopt the associated textbook for use in connection with your course (the Course ), you and your students who purchase the textbook may use the Supplement as described below. Cengage Learning has established these use limitations in response to concerns raised by authors, professors, and other users regarding the pedagogical problems stemming from unlimited distribution of Supplements. Cengage Learning hereby grants you a nontransferable license to use the Supplement in connection with the Course, subject to the following conditions. The Supplement is for your personal, noncommercial use only and may not be reproduced, posted electronically or distributed, except that portions of the Supplement may be provided to your students IN PRINT FORM ONLY in connection with your instruction of the Course, so long as such students are advised that they may not copy or distribute any portion of the Supplement to any third party. Test banks and other testing materials may be made available in the classroom and collected at the end of each class session, or posted electronically as described herein. Any material posted electronically must be through a password-protected site, with all copy and download functionality disabled, and accessible solely by your students who have purchased the associated textbook for the Course. You may not sell, license, auction, or otherwise redistribute the Supplement in any form. We ask that you take reasonable steps to protect the Supplement from unauthorized use, reproduction, or distribution. Your use of the Supplement indicates your acceptance of the conditions set forth in this Agreement. If you do not accept these conditions, you must return the Supplement unused within 30 days of receipt. All rights (including without limitation, copyrights, patents, and trade secrets) in the Supplement are and will remain the sole and exclusive property of Cengage Learning and/or its licensors. The Supplement is furnished by Cengage Learning on an as is basis without any warranties, express or implied. This Agreement will be governed by and construed pursuant to the laws of the State of New York, without regard to such State s conflict of law rules. Thank you for your assistance in helping to safeguard the integrity of the content contained in this Supplement. We trust you find the Supplement a useful teaching tool. Printed in the United States of America 1 2 3 4 5 6 7 16 15 14 13

INSTRUCTOR'S SOLUTIONS MANUAL TO ACCOMPANY THERMODYNAMICS for ENGINEERS FIRST EDITION KENNETH A. KROOS MERLE C. POTTER

CONTENTS Chapter Page PREFACE... V 1. BASIC CONCEPTS AND SYSTEMS OF UNITS...1 2. PROPERTIES OF PURE SUBSTANCES...9 3. THE FIRST LAW FOR SYSTEMS....33 4. THE FIRST LAW APPLIED TO CONTROL VOLUMES...59 5. THE SECOND LAW OF THERMODYNAMICS...89 6. ENTROPY... 101 7. THERMODYNAMIC RELATIONS... 127 8. THE RANKINE POWER CYCLE... 147 9. GAS POWER CYCLES... 191 10. REFRIGERATION CYCLES... 231 11. MIXTURES AND PSYCHROMETRICS... 243 12. COMBUSTION... 271 13. ALTERNATIVE ENERGY CONVERSION... 307 14. THERMODYNAMICS OF LIVING ORGANISMS...311

PREFACE This manual provides the solutions to the problems in THERMODYNAMICS for ENGINEERS. In many cases, the solutions are not as detailed as the examples in the book; they are intended to provide the primary steps in each solution so the instructor is able to quickly review how a problem is solved. The instructor should be informed that a solutions manual is also provided on the student web site; it includes solutions to the problems that have answers listed in the back of the textbook. The discussion of a subtle point, should one exist in a particular problem, is left as a task for the instructor. In general, some knowledge of a problem may be needed to fully understand all of the steps presented. This manual is not intended to be a self-paced workbook; the instructor is critically needed to provide explanations, discussions, and illustrations of the myriad of phenomena encountered in the study of thermodynamics. The degree of difficulty and length of solution for each problem varies considerably. Some are relatively easy and others quite difficult. This allows for flexibility in assignments or in practice sessions. Typically, the easier problems are the first problems for a particular section. A number of the problems have a design aspect. We continue to include a number of multiple-choice problems, similar to those encountered on the Fundamentals of Engineering Exam and the GRE/Engineering Exam. These problems will provide students with a review for the Thermodynamics part of those exams. They are all four-part, multiple-choice problems and are located at the beginning of the appropriate chapters. Not all discipline exams (e.g., E.E. and C.E.) that make up the FE Exam include problems on Thermodynamics. This Solutions Manual will also be available on-line in the password-protected Instructor Companion site of the book website at www.cengage.com/engineering, as will complete sets of PowerPoint slides containing all of the figures and tables, and Example Problems and equations from the book. Access to the protected site can only be made by registering on-line as a user of this title. To contact the Cengage Sales Representative for your school/discipline, use either the link above or http://www.cengage.com/rep/index.html. The examples and problems have been carefully solved with the hope that errors have not been introduced. Even though extreme care is taken and problems are reworked, errors creep in. We would appreciate knowing about any errors that you may find. They can be eliminated in the future. We have class tested most of the material with good response from our students, but we are sure that there are improvements to be made. Suggestions for changes and improvements are welcomed; send any corrections or comments to MerleCP@att.net or kenneth.kroos@villanova.edu. Philadelphia, Pennsylvania East Lansing, Michigan Kenneth A. Kroos Merle C. Potter v