Use the copper$-$silver $(Cu-Ag)$ binary eutectic phase diagram shown in Figure $1$ to answer the following.

$($a$)$ State the maximum solubility and the temperature that it occurs of:

$($i$)Cu$ in $Ag$

$($ii$)Ag$ in $Cu$

$(4$ marks$)$

$($b$)$ Consider an alloy consisting of $88wt\%Ag-12wt\%Cu$ at a temperature of $800C.$

$($i$)$ State the phases present.

$($ii$)$ Give the chemical composition of each phase.

$($iii$)$ Calculate the fraction of each phase.

$(8$ marks$)$

$($c$)$ If $500g$ of a $40wt\%Ag-60wt\%Cu$ alloy is slowly cooled from $1000C$ to immediately below $780C$ :

$($i$)$ How many grams of alpha and beta are present?

$($ii$)$ What is the mass of copper and the mass of silver in the beta phase?

$($iii$)$ How many grams of the eutectic structure are present?

$($iv$)$ How many grams of alpha are present in the eutectic structure?

Atomic nercent silver