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$C (graphite) + O_{2} (g) \to {CO}_{2} (g) ΔH = XKJ / mole$
$C (graphite) + \frac{1}{2} O_{2} (g) \to CO (g) ΔH = Y KJ / mole$
$CO + \frac{1}{2} O_{2} (g) \to {CO}_{2} (g) ΔH = Z KJ / mole$
From the above thermo chemical equations given, X, Y, Z are related as

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z=x+y

x=y-z

x=y+z

answer is B.

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Detailed Solution

by observation of equation $Z = y - x (or) x = y - z$

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