a$)$ Identify all binary and ternary invariant points, and mark them on the phase diagram.

b$)$ Locate the following alloys on the ternary diagram by a point.

Alloy Az reaction line and $40\%$ B$)$ and Alloy $N(80\%A,10\%B,10\%C)$

c$)$ What are the solidus and the liquidus temperatures of the alloys designated as points

$x,Y,Z,T$ on the diagram.

d$)$ Draw, on the diagram, the cooling path for alloy $Y.$

e$)$ Which phases are present in alloy $Y$ at room temperature? What are the relative proportions

$($amounts$)$ of these phases?

f$)$ Draw cooling curve for the alloy $Y.$ Indicate critical temperatures $($in $C)$ on the curve.

g$)$ Upon cooling alloy $Y,$ what will be the composition of the last liquid droplets $($just before

compote solidification$)?$

h$)$ Suppose that alloy $x$ is heated from room temperature up$.$ At what temperature $($in $C)$ the first

liquid will develop? How many percent of liquid will develop at this temperature?

i$)$ Draw the isothermal sections at temperatures of $800C$ and $700C.$ Label the fields in the

isothermal sections you drew.

j$)$ Draw the phase diagram for A$-$B binary. Show also the temperatures for the binary invariant

reactions, if there is any.