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Page 1: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

1

Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 2: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 3: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 4: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 5: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

2.18 What can the values of spin quantum number be? Explain the meaning of these numbers.Answer 2.18: The spin quantum number can take on either +1/2 or –1/2.The electron can have only two directions of spin and no other position is allowed. According to Pauli’s exclusion principle, no more than two electrons can occupy the same orbital of an atom, and the two electrons must have opposite spins, i.e. ms=½ for one, and ms=−½ for other.

Page 6: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 7: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

2.25 What are primary bonds? What is the driving force for formation of such bonds?Give examples of materials in which such bonds exist.Answer 2.25: The primary bonds are stronger than secondary bonds. Three different types of primary bonds are found in solids — ionic, covalent and metallic. The driving force arises from the tendency of the atoms to assume stable electron structure by completely filling the outermost electron shell.

Page 8: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 9: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 10: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 11: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 12: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 13: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 14: Foundations of Materials Science and Engineering Chap02 sol

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 15: Foundations of Materials Science and Engineering Chap02 sol

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 17: Foundations of Materials Science and Engineering Chap02 sol

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 18: Foundations of Materials Science and Engineering Chap02 sol

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 19: Foundations of Materials Science and Engineering Chap02 sol

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 20: Foundations of Materials Science and Engineering Chap02 sol

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 21: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 26: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 27: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 28: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 29: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 30: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 31: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 35: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 36: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 37: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 38: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 39: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 40: Foundations of Materials Science and Engineering Chap02 sol

PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

Page 41: Foundations of Materials Science and Engineering Chap02 sol

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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PROPRIETARY MATERIAL (c) 2010 The McGraw-Hill Companies, lnc. All rights reserved. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitted by McGraw-Hill for their individual course preparation. If you are a student using this Manual, you are using it without permission.

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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Problems and Solutions to Smith/HashemiFoundations of Materials Science and Engineering 5/e

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*2.70 Both K and Ca are group 2A metals. Why is the melt temperature of Ca higherthan the melt temperature of K?Answer 2.70:In metals, as the number of valence electrons increases, the attraction force between the positive core and the electron cloud also increases. In group 2A metals, for example, K with one valence electron has a melt temperature of 63.5°C compared to considerably higher 851°C for Ca with two valence electrons.

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2.81 Explain, on average, the melting points of pure metals are lower than ceramics. Ingeneral, alkali earth metals have higher melting points than alkali metals. Why?Answer 2.81:The pure metals do not require to break the bond between the ionic core and the electron cloud. Thus, on average, ceramics (most are ionic and covalent bond materials) have higher melting temperatures because they require breakage of the bonds for melting.In general, alkali metals (group 1A) have only one valence electron and possess almost exclusively metallic bonds. As a result, these metals have lower melting temperatures than alkali earth metals (group 2A) that have two valence electrons and a higher percentage of covalent bonding.

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