You have a steel powder and a steel sheet with the same chemical composition. Draw schematically and explain the changes in Gibbs free energy with processing time for the following processes:
(a) sintering of the steel powder,
(b) cold rolling of the steel sheet, and
(c) heat treatment (annealing) of the steel sheet. Assume that the sintering and heat treatment temperatures are the same, and their periods of time are also the same. The heat treatment is assumed to follow a quenching and the sintering to follow a furnace cooling.