Respuesta :
Answer:
-477.4 kJ/mol
Explanation:
Let's consider the following thermochemical equation.
2 CH₃OH(l) + 3 O₂(g) → 2 CO₂(g) + 4 H₂O(l) ΔH°rxn = −1452.8 kJ/mol
We can find the standard enthalpy of formation (ΔH°f) using the following expression.
ΔH°rxn = 2 mol × ΔH°f(CO₂(g)) + 4 mol × ΔH°f(H₂O(l)) - 2 mol × ΔH°f(CH₃OH(l)) - 3 mol × ΔH°f(O₂(g))
2 mol × ΔH°f(CH₃OH(l)) = 2 mol × ΔH°f(CO₂(g)) + 4 mol × ΔH°f(H₂O(l)) - ΔH°rxn - 3 mol × ΔH°f(O₂(g))
2 mol × ΔH°f(CH₃OH(l)) = 2 mol × (-393.5 kJ/mol) + 4 mol × (-285.8 kJ/mol) - (-1452.8 kJ) - 3 mol × 0 kJ/mol
ΔH°f(CH₃OH(l)) = -477.4 kJ/mol
From the reaction given; the standard enthalpy of formation methanol is; 726.4 kJ/mol
According to the question;
The chemical reaction given involves the combustion of methanol to produce CO2 and H2O as follows;
- 2CH3OH(l) + 3O2(g) → 2CO2(g) + 4H2O(l) ΔHo rxn = −1452.8 kJ/mol
However, when the reaction occurs in the opposite direction as follows;
- 2CO2(g) + 4H2O(l) → 2CH3OH(l) + 3O2(g);.
- The enthalpy of the reaction becomes; ΔHo rxn = 1452.8 kJ/mol.
By definition; the standard enthalpy of formation is the amount of energy required for the formation of one mole of that substance.
Dividing the whole chemical equation by 2; we have;
- CO2(g) + 2H2O(l) → CH3OH(l) + (3/2)O2(g);
In which case; the standard enthalpy of formation of methanol becomes; 1452.8/2 kJ/mol = 726.4 kJ/mol
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