Question $3^{\text{'}\text{'}}$

You are an engineer working in a metal processing factory. This is your first

job after graduation, so you are eager to put your unique skills in practice. Your line manager gives you a

challenging task in which you must prepare a phase diagram of a new metal alloy made of two metals: A

and B$.$ To face this problem, you must coordinate your research team to perform a series of experiments so

you can collect key data that will help you to prepare the requested phase diagram. These are the main

findings included in the team's report:

Finding $1$: Both metals, A and $B,$ are partially soluble each other.

Finding $2$: Metal A has a melting point of $800C($i$.$e$.$ temperature at which the solid phase of metal A

$()$ becomes liquid phase $($L$)).$

Finding $3$: Metal A can dissolve $10\%$ of metal $B$ at $0C.$

Finding $4$: Maximum solubility of metal $A$ is at $400C$ with $20\%$ concentration of metal B$.$

Finding $5$: Metal B has a melting point of $1000C($i$.$e$.$ temperature at which the solid phase of metal $B$

$()$ becomes liquid phase $($L$)).$

Finding $6$: Metal $B$ can dissolve $20\%$ of metal $A$ at $0C.$

Finding $7$: Maximum solubility of metal B is at $400C$ with $30\%$ concentration of metal A$.$

Finding $8$: There is a eutectic reaction with a $50\%$ concentration of metal $B$ at $400C.$

With that information, draw the phase diagram of the metallic alloy A$-$B in the graph shown below $(\%$

r$.....,$ and identify and label the different parts and points of importance of the diagram $($e$.$g$.,,+$

$L,,+L,$ eutectoid point, liquidus and solidus lines$)(0,\text{'}$z$)($NB: assume that all the lines

limiting the distinct parts of the phase diagram are straight$).$

Concentration $(\%$ wt of B$)$