Three thermochemical equations are given below : (i) \( \mathrm{C}_...

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Three thermochemical equations are given below :
(i) \( \mathrm{C}_{\text {(graphite) }}+\mathrm{O}_{2(\mathrm{~g})} \rightarrow \mathrm{CO}_{2(g)} \); \( \Delta_{r} H^{\circ}=x \mathrm{~kJ} \mathrm{~mol}^{-1} \)
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(ii) \( \mathrm{C}_{\text {(graphite) }}+\frac{1}{2} \mathrm{O}_{2(g)} \rightarrow \mathrm{CO}_{(g)} ; \Delta_{r} H^{\circ}=y \mathrm{~kJ} \mathrm{~mol}^{-1} \)
(iii) \( \mathrm{CO}_{(g)}+\frac{1}{2} \mathrm{O}_{2(g)} \rightarrow \mathrm{CO}_{2(g)} \); \( \Delta_{r} H^{\circ}=z \mathrm{~kJ} \mathrm{~mol}^{-1} \)
Based on the above equations, find out which of the relationship given below is correct.
(a) \( z=x+y \)
(b) \( x=y+z \)
(c) \( y=2 z-x \)
(d) \( x=y-z \)
(Karnataka NEET 2013)
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