Calculate `DeltaH_f^@` for chloride ion from the following data
`1/2 H_2(g) + 1/2 Cl_2(g) to HCl (g) , Delta H_f^@ = -92.4kJ`
`HCl(g) + xH_2O to H^(+)(aq) + Cl^(-) (aq), Delta H_(298) = -74.8kJ`
`Delta H_f^@ [H^(+) (aq) ] = 0.0kJ`

Explanation

To calculate the enthalpy of formation (\( \Delta H_f^@ \)) for the chloride ion (\( Cl^- \)), we will use the provided thermochemical equations and their corresponding enthalpy changes.

### Step-by-Step Solution:

1. **Write the first reaction**:
\[ \frac{1}{2} H_2(g) + \frac{1}{2} Cl_2(g) \rightarrow HCl(g) \quad \Delta H_f^@ = -92.4 \, \text{kJ} \]
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