Answer: The enthalpy of the given reaction is 1234.8kJ/mol.
Explanation: Enthalpy change of the reaction is the amount of heat released or absorbed in a given chemical reaction.
Mathematically,
[tex]\Delta H_{rxn}=\Delta H_f_{(products)}-\Delta H_f_{(reactants)}[/tex]
For the given reaction:
[tex]2CO_2(g)+3H_2O(g)\rightarrow C_2H_5OH(l)+3O_2(g)[/tex]
[tex]H_f_{(CO_2)}=-393.5kJ/mol[/tex]
[tex]H_f_{(H_2O)}=-241.8kJ/mol[/tex]
[tex]H_f_{(C_2H_5OH)}=-277.6kJ/mol[/tex]
[tex]H_f_{(O_2)}=0kJ/mol[/tex]
[tex]\Delta H_{rxn}=\Delta H_f_{(C_2H_5OH)}+3\Delta H_f_{(O_2)}-[2\Delta H_f_{(CO_2)}+3\Delta H_f_{(H_2O)}][/tex]
Putting values in above equation, we get:
[tex]\Delta H_{rxn}=[-277.6+3(0)]-[2(-393.5)+3(-241.8)]kJ/mol[/tex]
[tex]\Delta H_{rxn}=1234.8kJ/mol[/tex]