Calculate the standard heat of formation of `C_2H_5OH(l)` from the following data:
(a) `C_2H_5OH (l) + 2O_2(g) to 2CO_2(g) + 3H_2O (l)`,
`DeltaH^@ = - 1366.5 kJ`
(b) `Delta_f H^@ [ CO_2] = -393.5 kJ mol^(-1),`
`Delta_f H^@ [ H_2O(l)] = -285.5 kJ mol^(-1)`.

Explanation

To calculate the standard heat of formation of \( C_2H_5OH(l) \) (ethanol), we will use the given thermodynamic data and apply Hess's law. Here’s a step-by-step solution:

### Step 1: Write the Reaction
We start with the combustion reaction of ethanol:
\[ C_2H_5OH(l) + 2O_2(g) \rightarrow 2CO_2(g) + 3H_2O(l) \]
The enthalpy change for this reaction is given as:
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