11- For the iron-carbon phase diagram shown below: a. Write down the eutectic, eutectoid, and peritectic reactions and the temperature at which they happen.

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11- For the iron-carbon phase diagram shown below:
a.
Write down the eutectic, eutectoid, and peritectic reactions and the temperature at which they
happen.
b.
For an alloy that has 0.4% carbon what draw a schematic for the expected microstructure and the
estimate the composition of each phase, and based on this determine % of each phase at 1500 °C.
and 1200 °C.
C₂
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 ß denote the existing phases or microconstituents. Use this
relationship to determine the approximate Brinell hardness of a 99.6 wt% Fe-0.4 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.
Temperature (°C)
1600
1400
1200
1000
800
600
400
0
(Fe)
1538°C
912°C
a
Y
8
-1493°C
1394°C
y, Austenite.
0.76
0.022
a, Ferrite
5
Y+L
2
2.14
Composition (at% C)
15
10
1147°C
a + Fe3C
L
Eutectic
4.30
y+ Fe³C
4
3
Composition (wt% C)
20
727°C C=Teutectoid
Cementite (Fe3C)
5
25
6
Page 5 of 8
2500
2000
Temperature (°F)
1500
1000
6.70
Transcribed Image Text:11- For the iron-carbon phase diagram shown below: a. Write down the eutectic, eutectoid, and peritectic reactions and the temperature at which they happen. b. For an alloy that has 0.4% carbon what draw a schematic for the expected microstructure and the estimate the composition of each phase, and based on this determine % of each phase at 1500 °C. and 1200 °C. C₂ 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 ß denote the existing phases or microconstituents. Use this relationship to determine the approximate Brinell hardness of a 99.6 wt% Fe-0.4 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. Temperature (°C) 1600 1400 1200 1000 800 600 400 0 (Fe) 1538°C 912°C a Y 8 -1493°C 1394°C y, Austenite. 0.76 0.022 a, Ferrite 5 Y+L 2 2.14 Composition (at% C) 15 10 1147°C a + Fe3C L Eutectic 4.30 y+ Fe³C 4 3 Composition (wt% C) 20 727°C C=Teutectoid Cementite (Fe3C) 5 25 6 Page 5 of 8 2500 2000 Temperature (°F) 1500 1000 6.70
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