Consider the reaction: 2H2 (g) + O2(g) → 2H₂O(g) Using standard thermodynamic data at 298 K, calculate the free energy change when 1.87 moles of H₂ (g) react at standard conditions. Substance AG (kJ/mol) H₂O(g) H₂(g) O₂ (g) -228.6 0.0 0.0

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Consider the reaction:

\[ 2\text{H}_2(\text{g}) + \text{O}_2(\text{g}) \rightarrow 2\text{H}_2\text{O}(\text{g}) \]

Using standard thermodynamic data at 298 K, calculate the free energy change when 1.87 moles of \(\text{H}_2(\text{g})\) react at standard conditions.

### Thermodynamic Data

| Substance | \(\Delta G^\circ_f\) (kJ/mol) |
|-----------|------------------------------|
| \(\text{H}_2\text{O}(\text{g})\) | \(-228.6\) |
| \(\text{H}_2(\text{g})\) | \(0.0\) |
| \(\text{O}_2(\text{g})\) | \(0.0\) |

\[
\Delta G^\circ_{\text{rxn}} = \, \boxed{\phantom{000}} \, \text{kJ}
\]

### Description

This problem involves calculating the standard free energy change for a given chemical reaction using standard thermodynamic data. The given table provides the standard Gibbs free energy of formation (\(\Delta G^\circ_f\)) for the substances involved in the reaction at 298 K. You’ll need to use the values provided to calculate \(\Delta G^\circ_{\text{rxn}}\) for the reaction. The final free energy change should be adjusted according to the moles specified (1.87 moles of \(\text{H}_2(\text{g})\)).
Transcribed Image Text:Consider the reaction: \[ 2\text{H}_2(\text{g}) + \text{O}_2(\text{g}) \rightarrow 2\text{H}_2\text{O}(\text{g}) \] Using standard thermodynamic data at 298 K, calculate the free energy change when 1.87 moles of \(\text{H}_2(\text{g})\) react at standard conditions. ### Thermodynamic Data | Substance | \(\Delta G^\circ_f\) (kJ/mol) | |-----------|------------------------------| | \(\text{H}_2\text{O}(\text{g})\) | \(-228.6\) | | \(\text{H}_2(\text{g})\) | \(0.0\) | | \(\text{O}_2(\text{g})\) | \(0.0\) | \[ \Delta G^\circ_{\text{rxn}} = \, \boxed{\phantom{000}} \, \text{kJ} \] ### Description This problem involves calculating the standard free energy change for a given chemical reaction using standard thermodynamic data. The given table provides the standard Gibbs free energy of formation (\(\Delta G^\circ_f\)) for the substances involved in the reaction at 298 K. You’ll need to use the values provided to calculate \(\Delta G^\circ_{\text{rxn}}\) for the reaction. The final free energy change should be adjusted according to the moles specified (1.87 moles of \(\text{H}_2(\text{g})\)).
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