Answer: [tex]\Delta H=-16.5 kcal[/tex]
Explanation:
The balanced chemical reaction is,
[tex]C_6H_{12}O_6(s)\longrightarrow 2C_2H_5OH(l)+2CO_2(g)[/tex]
The expression for enthalpy change is,
[tex]\Delta H=\sum [n\times \Delta H_f(product)]-\sum [n\times \Delta H_f(reactant)][/tex]
[tex]\Delta H=[(n_{C_2H_5OH}\times \Delta H_{C_2H_5OH})+(n_{CO_2}\times \Delta H_{CO_2})]-[(n_{C_6H_{12}O_6}\times \Delta H_{C_6H_{12}O_6})][/tex]
where,
n = number of moles
Now put all the given values in this expression, we get
[tex]\Delta H=[(2\times -66.4)+(2\times -93.9)]-[(1\times -304.5)][/tex]
[tex]\Delta H=-16.5kcal[/tex]
Therefore, the enthalpy change for this reaction is -16.5 kcal