Explanation The α − Mn volume is, v o l u m e = a 3 The lattice parameter a = 0.8931nm ∴ ( 0.8931 × 10 − 8 ) 3 ⇒ 7.12 × 10 − 22 cm 3 The atom number of each cell is calculated using the density equation, ρ = (atom numbers per cell) × (atom mass) (unit cell volume) × (Avogadro number) ..... (1) Substituting the values, 7.4 7g/cm 3 = ( x )(54 .938 g/mol) (7 .12 × 10 -22 cm 3 )(6 .02 × 10 23 atoms/mol) = (7 .47g/cm 3 )(7 .12×10 -22 cm 3 )(6 .02×10 23 atoms/mol) (54 .938g/mol) = x x = 5 8 atoms/cell The β − M n volume is, volume = a 3 The lattice parameter a = 0.6326nm or 6.326 × 10 − 8 c m ∴ ( 6.326 × 10 − 8 ) 3 ⇒ 2.53 × 10 − 22 cm 3 The atom number of each cell is calculated using the density equation, ρ = (atom numbers per cell) × (atom mass) (unit cell volume) × (Avogadro number)

Essentials Of Materials Science And Engineering

4th Edition

ISBN: 9781337385497

Author: WRIGHT, Wendelin J.

Publisher: Cengage,

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Question

Chapter 3, Problem 3.40P

Interpretation Introduction

Interpretation:

Volume change percent when β−Mn is formed from the α−Mn should be determined.

Concept introduction:

When two liquids are mixed to form the solution the volume percent is used and the change in the volume of the solution gives the volume change percent.

Expert Solution & Answer

Chapter 3 Solutions

Essentials Of Materials Science And Engineering

Ch. 3 - Prob. 3.1P Ch. 3 - Prob. 3.2P Ch. 3 - Prob. 3.3P Ch. 3 - Prob. 3.4P Ch. 3 - Prob. 3.5P Ch. 3 - Prob. 3.6P Ch. 3 - Prob. 3.7P Ch. 3 - Prob. 3.8P Ch. 3 - Prob. 3.9P Ch. 3 - Prob. 3.10P

Ch. 3 - Prob. 3.11P Ch. 3 - Prob. 3.12P Ch. 3 - Prob. 3.13P Ch. 3 - Prob. 3.14P Ch. 3 - Prob. 3.15P Ch. 3 - Prob. 3.16P Ch. 3 - Prob. 3.17P Ch. 3 - Prob. 3.18P Ch. 3 - Prob. 3.19P Ch. 3 - Prob. 3.20P Ch. 3 - Prob. 3.21P Ch. 3 - Prob. 3.22P Ch. 3 - Prob. 3.23P Ch. 3 - Prob. 3.24P Ch. 3 - Prob. 3.25P Ch. 3 - Prob. 3.26P Ch. 3 - Prob. 3.27P Ch. 3 - Prob. 3.28P Ch. 3 - Prob. 3.29P Ch. 3 - Prob. 3.30P Ch. 3 - Prob. 3.31P Ch. 3 - Prob. 3.32P Ch. 3 - Prob. 3.33P Ch. 3 - Prob. 3.34P Ch. 3 - Prob. 3.35P Ch. 3 - Prob. 3.36P Ch. 3 - Prob. 3.37P Ch. 3 - Prob. 3.38P Ch. 3 - Prob. 3.39P Ch. 3 - Prob. 3.40P Ch. 3 - Prob. 3.41P Ch. 3 - Prob. 3.42P Ch. 3 - Prob. 3.43P Ch. 3 - Prob. 3.44P Ch. 3 - Prob. 3.45P Ch. 3 - Prob. 3.46P Ch. 3 - Prob. 3.47P Ch. 3 - Prob. 3.48P Ch. 3 - Prob. 3.49P Ch. 3 - Prob. 3.50P Ch. 3 - Prob. 3.51P Ch. 3 - Prob. 3.52P Ch. 3 - Prob. 3.53P Ch. 3 - Prob. 3.54P Ch. 3 - Prob. 3.55P Ch. 3 - Prob. 3.56P Ch. 3 - Prob. 3.57P Ch. 3 - Prob. 3.58P Ch. 3 - Prob. 3.59P Ch. 3 - Prob. 3.60P Ch. 3 - Prob. 3.61P Ch. 3 - Prob. 3.62P Ch. 3 - Prob. 3.63P Ch. 3 - Prob. 3.64P Ch. 3 - Prob. 3.65P Ch. 3 - Prob. 3.66P Ch. 3 - Prob. 3.67P Ch. 3 - Prob. 3.68P Ch. 3 - Prob. 3.69P Ch. 3 - Prob. 3.70P Ch. 3 - Prob. 3.71P Ch. 3 - Prob. 3.72P Ch. 3 - Prob. 3.73P Ch. 3 - Prob. 3.74P Ch. 3 - Prob. 3.75P Ch. 3 - Prob. 3.76P Ch. 3 - Prob. 3.77P Ch. 3 - Prob. 3.78P Ch. 3 - Prob. 3.79P Ch. 3 - Prob. 3.80P Ch. 3 - Prob. 3.81P Ch. 3 - Prob. 3.82P Ch. 3 - Prob. 3.83P Ch. 3 - Prob. 3.84P Ch. 3 - Prob. 3.85P Ch. 3 - Prob. 3.86P Ch. 3 - Prob. 3.87P Ch. 3 - Prob. 3.88P Ch. 3 - Prob. 3.89P Ch. 3 - Prob. 3.90P Ch. 3 - Prob. 3.91P Ch. 3 - Prob. 3.92P Ch. 3 - Prob. 3.93P Ch. 3 - Prob. 3.94P Ch. 3 - Prob. 3.95P Ch. 3 - Prob. 3.96P Ch. 3 - Prob. 3.97P Ch. 3 - Prob. 3.98P Ch. 3 - Prob. 3.99P Ch. 3 - Prob. 3.100P Ch. 3 - Prob. 3.101DP Ch. 3 - Prob. 3.102DP Ch. 3 - Prob. 3.103CP Ch. 3 - Prob. 3.104CP

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