Answered: Plot the Iron-Iron Carbide phase…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A/Plot the Iron-Iron Carbide phase diagram and indicate all phases and critical temperatures.

Expert Solution

Step 1: Introduction:

Phase Diagram-

it is a graphical representation of the effect of temperature and composition upon the phase present in an alloy.

phase diagram is constructed by plotting temperatures along the y-axis and percentage alloy composition along X-axis

The diagram shows the ranges of temperature and composition within which the various phase changes are stable and also the boundaries at which the phase changes occurs.

the iron -iron carbide diagram has Peritectic reaction ,eutectic ,eutectoid reactions

Peritectic reaction $bold italic L bold plus bold partial differential bold equals bold italic gamma$

at T= $bold 1493 bold degree bold italic C bold space bold italic a bold italic n bold italic d bold space bold 0 bold. bold 18 bold italic w bold italic t bold percent sign bold italic C$

here $L equals space l i q u i d partial differential equals space d e l t a space f e r r i t e gamma equals space a u s t e n i t e$

Eutectic reaction

$bold italic L bold equals bold italic gamma bold plus bold italic F bold italic e subscript bold 3 bold italic C bold italic A bold italic t bold space bold italic T bold equals bold 1147 bold degree bold italic C bold space bold italic a bold italic n bold italic d bold space bold 4 bold. bold 3 bold italic w bold italic t bold percent sign bold italic C$

Eutectoid reaction

$bold italic gamma bold equals bold italic alpha bold plus bold italic F bold italic e subscript bold 3 bold italic C bold italic A bold italic t bold space bold italic T bold equals bold 727 bold degree bold italic C bold space bold italic a bold italic n bold italic d bold space bold 0 bold. bold 77 bold italic w bold italic t bold percent sign bold italic C$

here

$bold italic alpha bold equals bold italic f bold italic e bold italic r bold italic r bold italic i bold italic t bold italic e$

Phase Diagram

$bold italic alpha bold space bold italic F bold italic e bold italic r bold italic r bold italic i bold italic t bold italic e$ - Solid solution of C in BCC Fe

1. Stable form of iron at room temperature.

2. Transforms to FCC g-austenite at $912 degree C$

$bold italic gamma bold minus bold italic a bold italic u bold italic s bold italic t bold italic i bold italic n bold italic i bold italic t bold italic e$ - Solid solution of C in FCC Fe

1. Transform to BCC $bold partial differential bold minus bold space bold italic f bold italic e bold italic r bold italic r bold italic i bold italic t bold italic e$ at $1395 degree C$

2. is not stable below the eutectic temperature $727 degree C$ unless cooled rapidly

$bold partial differential bold minus bold italic f bold italic e bold italic r bold italic r bold italic i bold italic t bold italic e$ - Solid solution of C in BCC Fe

1. it is stable only at $T greater than 1394 degree C.$ It melts at $1538 degree C$

$bold italic F bold italic e subscript bold 3 bold italic C bold left parenthesis bold space bold italic i bold italic r bold italic o bold italic n bold space bold italic c bold italic a bold italic r bold italic b bold italic i bold italic d bold italic e bold space bold italic o bold italic r bold space bold italic c bold italic e bold italic m bold italic e bold italic n bold italic t bold italic i bold italic t bold italic e bold right parenthesis$

This intermetallic compound is metastable at room temperature. It decomposes (very slowly,within several years) into $alpha minus F e$ and C(graphite) at $650 minus 700 degree C$

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