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Often, the properties of multiphase alloys may be approximated by the relationship E (alloy) = EaVa + EBVB where E represents a specific property (modulus of elasticity, hardness, etc.) and V is the volume fraction. The subscripts a and p denote the existing phases or microconstituents. Employ the relationship above to determine the approximate Brinell hardness of a 99.8 wt% Fe-0.20 wt% C alloy. Assume Brinell hardnesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions. (9.24)

Often, the properties of multiphase alloys may be approximated by the relationship E (alloy) = EaVa + EBVB where E represents a specific property (modulus of elasticity, hardness, etc.) and V is the volume fraction. The subscripts a and p denote the existing phases or microconstituents. Employ the relationship above to determine the approximate Brinell hardness of a 99.8 wt% Fe-0.20 wt% C alloy. Assume Brinell hardnesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions. (9.24)

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Often, the properties of multiphase alloys may be approximated by the relationship E (alloy) = EaVa + EBVB where E represents a specific property (modulus of elasticity, hardness, etc.) and Vis the volume fraction. The subscripts a and p denote the existing phases or microconstituents. Employ the relationship above to determine the approximate Brinell hardness of a 99.8 wt% Fe-0.20 wt% C alloy. Assume Brinell hardnesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions. See Animated Figure 9.24 (9.24) i
Transcribed Image Text:Often, the properties of multiphase alloys may be approximated by the relationship E (alloy) = EaVa + EBVB where E represents a specific property (modulus of elasticity, hardness, etc.) and Vis the volume fraction. The subscripts a and p denote the existing phases or microconstituents. Employ the relationship above to determine the approximate Brinell hardness of a 99.8 wt% Fe-0.20 wt% C alloy. Assume Brinell hardnesses of 80 and 280 for ferrite and pearlite, respectively, and that volume fractions may be approximated by mass fractions. See Animated Figure 9.24 (9.24) i
Temperature (°C) 1600 1400 1200 1000 800 600 400 (Fe) 1538 °C 5 1493 °C 1394 °C 912 °C a+y y, Auster 0.76 0.022 d., Feritte 085 °C 1 V +L 2 Composition (at% C) 10 15 2.14 1147 °C a + Fe C L Composition = 0 wt% C Composition = 0 at% C Temperature = 400 °C Temperature = 752 °F 3 4 Composition (wt% C) 4.30 y + Fe3C 727 °C 20 Cementite (Fe,C) 150 6 25 2500 2000 1500 1000 6.70 Temperature (°F)
Transcribed Image Text:Temperature (°C) 1600 1400 1200 1000 800 600 400 (Fe) 1538 °C 5 1493 °C 1394 °C 912 °C a+y y, Auster 0.76 0.022 d., Feritte 085 °C 1 V +L 2 Composition (at% C) 10 15 2.14 1147 °C a + Fe C L Composition = 0 wt% C Composition = 0 at% C Temperature = 400 °C Temperature = 752 °F 3 4 Composition (wt% C) 4.30 y + Fe3C 727 °C 20 Cementite (Fe,C) 150 6 25 2500 2000 1500 1000 6.70 Temperature (°F)
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