Your friend the $Fe-Fe{C}_3$ phase diagram is shown below:

b$)$ A sample of $1wt\%C$ is cooled from the austenitic phase to $600C.$

Does pearlite form?

If pearlite does form what is its relative amount?

If it does not form what phases do form and what are their relative amounts

c$)$ An alloy of $5wt\%C$ is slowly cooled from $1400C$ to $700C.$

At temperatures of $1400,1200,1148,1147,1146,1000,$ and $700C$ determine the phases$($s$)$ present and their relative amounts $($think$).$

Graph these numbers and draw a curve to give the relative amounts as a function of temperature.

d$)$ Alloy of $3wt\%C$ is slowly cooled from $1400C$ to $700C.$

At temperatures of $1400,1200,1148,1147,1000,$ and $700C$ determine the phases$($s$)$ present and their relative amounts $($think$).$

Graph these numbers and draw a curve to give the relative amounts as a function of temperature.

e$)$ Using the above, explain why cast iron of $2-4\%C$ has different properties than that of $46\%C.$