By using the Ellingham diagram in Figure $17.9,(\mathrm{a})$ predict which metals will reduce $\mathrm{FeO}$ at $500 \mathrm{K},(\mathrm{b})$ estimate $\Delta G^{\circ}$ for the reaction between FeO and carbon at $1200 \mathrm{K},$ and (c) assess to what extent the reaction between $\mathrm{Sn}$ and $\mathrm{NiO}$ is affected by changing the temperature from 600 to $1000 \mathrm{K}$.