Question 8.8: USING STANDARD HEATS OF FORMATION TO CALCULATE ΔH° Calculate...

USING STANDARD HEATS OF FORMATION TO CALCULATE ΔH°

Calculate ΔH° in kilojoules for the synthesis of lime (CaO) from limestone (CaCO_{3}), the key step in the manufacture of cement.

CaCO_{3}(s)  →  CaO(s)  +  CO_{2}(g)            ΔH°_{f} [CaCO_{3}(s)] = -1207.6 kJ/mol

ΔH°_{f}[CaO(s)] = -634.9 kJ/mol

ΔH°_{f} [CO_{2}(g)] = -393.5 kJ/mol

STRATEGY
Subtract the heat of formation of the reactant from the sum of the heats of formation of the products.

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ΔH° = [ΔH°_{f} (CaO)  +  ΔH°_{f} (CO_{2})]  –  [ΔH°_{f} (CaCO_{3})]

= (1 mol)(-634.9 kJ/mol) + (1 mol)(-393.5 kJ/mol) – (1 mol)(-1207.6 kJ/mol)

= 179.2 kJ

The reaction is endothermic by 179.2 kJ.

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