Using the isothermal transformation diagram for a $1.13$ wt $\%$ C steel alloy (Figure $10.39$ ), determine the final microstructure (in terms of just the microconstituents present) of a small specimen that has been subjected to the following timetemperature treatments. In each case assume that the specimen begins at $920^{\circ} \mathrm{C}\left(1690^{\circ} \mathrm{F}\right)$ and that it has been held at this temperature long enough to have achieved a complete and homogeneous austenitic structure.
(a) Rapidly cool to $250^{\circ} \mathrm{C}\left(480^{\circ} \mathrm{F}\right)$, hold for $10^{3} \mathrm{~s}$, then quench to room temperature.
(b) Rapidly cool to $775^{\circ} \mathrm{C}$ (1430^\circ), hold for $500 \mathrm{~s}$, then quench to room temperature.
(c) Rapidly cool to $400^{\circ} \mathrm{C}\left(750^{\circ} \mathrm{F}\right)$, hold for $500 \mathrm{~s}$, then quench to room temperature.
(d) Rapidly cool to $700^{\circ} \mathrm{C}\left(1290^{\circ} \mathrm{F}\right)$, hold at this temperature for $10^{5} \mathrm{~s}$, then quench to room temperature.
(e) Rapidly cool to $650^{\circ} \mathrm{C}\left(1200^{\circ} \mathrm{F}\right)$, hold at this temperature for $3 \mathrm{~s}$, rapidly cool to $400^{\circ} \mathrm{C}$ $\left(750^{\circ} \mathrm{F}\right)$, hold for $25 \mathrm{~s}$, then quench to room temperature.