Which of the following is the balanced chemical equation used to calculate the standard enthalpy of formation (ΔH_f^∘) of CaCO_3(s)?
A
Ca(s) + CO_2(g) + O_2(g) → CaCO_3(s)
B
CaO(s) + CO_2(g) → CaCO_3(s)
C
CaCO_3(s) → CaO(s) + CO_2(g)
D
Ca(s) + C(s) + 1.5 O_2(g) → CaCO_3(s)
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1
Understand that the standard enthalpy of formation (\( \Delta H_f^\circ \)) of a compound is defined as the enthalpy change when one mole of the compound is formed from its elements in their standard states.
Identify the elements that make up \( \text{CaCO}_3 \): calcium (Ca), carbon (C), and oxygen (O). Each must be in its standard elemental form on the reactant side.
Write the reactants as the elements in their standard states: solid calcium (Ca(s)), solid carbon (C(s), usually graphite), and oxygen gas (\( \text{O}_2(g) \)).
Balance the equation so that one mole of \( \text{CaCO}_3(s) \) is produced from these elements. This involves ensuring the number of atoms of each element is the same on both sides, including balancing oxygen atoms by using \( 1.5 \text{O}_2(g) \) molecules.
The balanced chemical equation for the standard enthalpy of formation of \( \text{CaCO}_3(s) \) is therefore: \(\n\)\(\n\)\$\$ \(\text{Ca}\)(s) + \(\text{C}\)(s) + \(\frac{3}{2}\) \(\text{O}\)_2(g) \(\rightarrow\) \(\text{CaCO}\)_3(s) \(\n\)\$\$