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Moderate

Enthalpy of Reaction, Hess's Law

APCHEM-WEEDMK

Which of the following is the enthalpy change for the following reaction given the information below?

$$Al_2(CO_3)_{3(s)} \longrightarrow Al_2O_{3(s)} + 3 CO_{2(g)}$$

The information available to you is:

$$C_{(graphite)} + O_{2(g)} \longrightarrow CO_{2(g)} \quad \Delta{H} = W \text{ kJ}$$
$$4Al_{(s)} + 3O_{2(g)} \longrightarrow 2Al_2O_{3(s)} \quad \Delta{H} = X \text{ kJ}$$
$$2Al_{(s)} + \cfrac{9}{2} O_{2(g)} + 3C_{(graphite)} \longrightarrow Al_2(CO_3)_{3(s)} \quad \Delta{H} = Y \text{ kJ}$$

A

$W + X - Y$

B

$3W + X - Y$

C

$3W + \cfrac { 1 }{ 2 }X + Y$

D

$3W + \cfrac { 1 }{ 2 }X - Y$