Question #134429
Calculate heat of formation of acetic acid if its heat of combustion is - 867 kJ/mol. The heat of formation of carbon dioxide and water are -393.5 and -285.9 kJ/mol. *
1
Expert's answer
2020-09-23T04:42:32-0400

The chemical equation for formation of the products is;

2CH3COOH+CaCO3(CH3COO)2Ca+CO2+H2O2CH_3COOH+CaCO_3\to(CH_3COO)_2Ca+CO_2+H_2O

The equation for calculating the standard enthalpy for formation is;

ΔH°=nΔH°f(products)nΔH°f(reactants)\Delta H°=\sum n\Delta H°_f(products)- \sum n \Delta H°_f(reactants)

Δf°\Delta_f° for CO2=(393.5kJ/mol)CO_2=(-393.5kJ/mol)

Δf°\Delta_f°for H2O=(285.9kJ/mol)H_2O=(-285.9kJ/mol)

Δf°\Delta _f°for CH3COOH=(867kJ/mol)CH_3COOH=(-867kJ/mol)

ΔH°=[1molCO2(393.5kJ/mol)+1molH2O(285.9kJ/mol)][2molCH3COOH(867kJ/mol)]\Delta H°=[1molCO_2(-393.5kJ/mol)+1mol H_2O(-285.9kJ/mol)]-[2molCH_3COOH(-867kJ/mol)] =[679.4kJ/mol][1734kJ/mol]=[-679.4kJ/mol]-[-1734kJ/mol]

=1054.6kJ/mol=1054.6kJ/mol

Since the reaction is exothermic, the standard heat of formation is thus;

1054.6kJ/mol-1054.6kJ/mol



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