Assess the feasibility of reducing \(\mathrm{TiO}_{2}\) to titanium metal by
roasting in carbon monoxide. (a) Write a reaction for this process. (b) Use
the thermodynamic quantities given in Appendix \(C\) to calculate \(\Delta
G^{\circ}, \Delta H^{\circ}\), and \(\Delta S^{\circ}\) for this reaction. Is
this reaction spontaneous at \(25^{\circ} \mathrm{C}\) under standard
conditions? (c) If we assume that \(\Delta H^{\circ}\) and \(S^{\circ}\) values do
not change with temperature, at what temperature would this process become
spontaneous? Do you think this process would be practical?