On the basis of thermochemical equations (i), (ii) and (iii), find out which of the algebric relatio

Question

On the basis of thermochemical equations (i), (ii) and (iii), find out which of the algebric relationships given in options (a) to (d) is correct.\ i) C (graphite) $+\mathrm{O}_{2(g)} ightarrow \mathrm{CO}_{2(g)} ; \Delta_{r} H=x \mathrm{~kJ} \mathrm{~mol}^{-1}$\ ii) C(graphite) $+\frac{1}{2} \mathrm{O}_{2(g)} ightarrow \mathrm{CO}_{(g)} ; \Delta_{r} H=y \mathrm{~kJ} \mathrm{~mol}^{-1}$\ iii) $\mathrm{CO}_{(g)}+\frac{1}{2} \mathrm{O}_{2(g)} ightarrow \mathrm{CO}_{2(g)} ; \Delta_{r} H=z \mathrm{~kJ} \mathrm{~mol}^{-1}$\

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(c)