$(15$ points$)$ For a $99\mathrm{.}3wt\%Fe-0\mathrm{.}7wt\%C$ steel at a temperature just below the eutectoid. determine the following:

a$)$ The compositions of Fe $3$ C and ferrite $().$

b$)$ The amount of ferrite $($in grams$)$ that forms in $1$kgofsteel.

c$)$ The amounts of pearlite and proeutectoid ferrite in $1$ kg $.$