$($a$)$

$($b$)$

$($c$)$

$($d$)$The number of degrees of freedom $($F$)$ which a system containing C components

can have when P phases are in equilibrium is given by F $=$ C$-$ P $+2,$ called as theGibbs phase rule. $($a$)$ Which of the following binary phase diagrams is $($are$)$ wrong?

If so$,$ find where you can find and why? $(5$ pts$)($b$)$ When the liquid is cooled with $4$ lines in $($a$),$ sketch the microstructures. $(5$ pts$)$