A temary A$-$B$-$C system has the following conditions:

i$)$ one congruently ternary intermed ate compound

ii$)$ two congruently binary intermediate compound in B$-$C binary

iii$)$ one incongruently binary intermediate compound in A$-$C binary

a$.$ Construct the A$-$B$-$C temary phase d agram. $(15$ points$)$

b$.$ Label the primary crystallization areas. $(5$ points$)$

c$.$ Identify the invariants points. $(5$ points$)$

d$.$ Draw $B,C$ binary system, $(5$ points$)$

A$-$B$-$C ternary phase diagram is given in Figure $2.,$

a$.$ A material, whose composition is $x$ will be densified at $1600C$ by using liquid phase sintering$.$ Please, find out the amount of liquid phase at this temperature. $(5$ points$)$

b$.$ How can you reduce$/$in crease the amount of liquid phase to $30\%$ wt by keep temperature constant? $(8$ points$)$

c$.$ Find out the amount of liquid phase at the solidus temperature of composition $m.(7$ points$)$