Using data from Appendix 11 , determine $\Delta_{\mathrm{r}} G^{\mathrm{o}}(298 \mathrm{K})$ for the following reactions:
(a) $\mathrm{C}_{2} \mathrm{H}_{2}(\mathrm{g})+2 \mathrm{H}_{2}(\mathrm{g}) \rightarrow \mathrm{C}_{2} \mathrm{H}_{6}(\mathrm{g})$
(b) $\mathrm{CaCO}_{3}(\mathrm{s})-\mathrm{CaO}(\mathrm{s})+\mathrm{CO}_{2}(\mathrm{g})$
(c) $\mathrm{Mg}(\mathrm{s})+2 \mathrm{HCl}(\mathrm{g})-\mathrm{MgCl}_{2}(\mathrm{s})+\mathrm{H}_{2}(\mathrm{g})$