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On the basis of thermochemical equations (I), (II) and (III), find out which of the algebraic relationships given in options (a) to (d) is correct?
(I) C(graphite) + $+ O_{2} (g) ⟶ {CO}_{2} (g)$ ; $Δ_{r} H = x kJ {mol}^{- 1}$
(II) C(graphite) $+ \frac{1}{2} O_{2} (g) ⟶ CO (g)$ ; $Δ_{r} H = y kJ mol m^{- 1}$
(III) CO(g) $+ \frac{1}{2} O_{2} (g) ⟶ {CO}_{2} (g); Δ_{r} H = z kJ {mol}^{- 1}$

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An Intiative by Sri Chaitanya

y =2z - x

Z =X + y

X =y + Z

answer is C.

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Detailed Solution

$C_{(graphite)} + O_{2} (g) \to {CO}_{2} (g) Δ_{r} H^{\circ} = x kJ / mol$ ..(1)

$C_{(graphite)} + \frac{1}{2} O_{2} (g) \to CO (g) Δ_{r} H^{\circ} = y kJ / mol . . (2)$

$CO (g) + \frac{1}{2} O_{2} (g) \to {CO}_{2} (g) Δ_{r} H^{0} = z kJ / mol$ ...(3)

Now,

$(1) = (2) + (3)$

$x = y + z$

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