a$)$ Draw the Fe$-$C phase diagram and determine each area on diagram, and write the three phase reactions $($give compositions, temperature$)$

b$)$ Why Iron$-$Carbon binary phase diagram is drawn between $Fe($Iron$)$ and $F{e}_{3}C($Cementite$)?$

c$)$ Why carbon solubility of austenite is higher than that of other solid solutions?

d$)$ What is the name of special microconstituent at eutectoid composition? Please define the amounts of each phases for this composition?

e$)$ Please explain the differences between microconstituents of hypoeutectoid and hypereutectoid? Explain the effects of these differences on the final properties.