On the basis of thermochemical equations (a), (b) and (c), find out which of the algebric relati...
On the basis of thermochemical equations (a), (b) and (c), find out which of the algebric relationships given in options (A) to (D) is correct.
\( P \)
(a) C (graphite) \( +\mathrm{O}_{2}(\mathrm{~g}) \longrightarrow \mathrm{CO}_{2}(\mathrm{~g}) ; \quad \Delta_{\mathrm{r}} \mathrm{H}=\mathrm{x} \mathrm{kJ} \mathrm{mol}^{-1} \)
(b) \( \mathrm{C} \) (graphite) \( +\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \longrightarrow \mathrm{CO}(\mathrm{g}) ; \quad \underset{\mathrm{r}}{\Delta} \mathrm{H}=\mathrm{y} \mathrm{kJ} \mathrm{mol}^{-1} \)
(c) \( \mathrm{CO}(\mathrm{g})+\frac{1}{2} \mathrm{O}(\mathrm{g}) \longrightarrow \mathrm{CO}_{2}(\mathrm{~g}) ; \quad \Delta \underset{\mathrm{r}}{\mathrm{H}}=\mathrm{z} \mathrm{kJ} \mathrm{mol}^{-1} \)
(A) \( z=x+y \)
(B) \( x=y-z \)
(C) \( x=y+z \)
(D) \( y=2 z-x \)
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