Question 10.8: Using data from Appendix 2, calculate ∆H°rxn for Ag^+(aq) + ...

Using data from Appendix 2, calculate ∆H^\circ_\text{rxn} for \text{Ag}^+(aq) + \text{Cl}^– (aq) → \text{AgCl}(s).

Strategy Use Equation 10.18 [∆H^\circ_\text{rxn} = ∑n∆H^\circ_\text{f} (\text{products}) – ∑m∆H^\circ_\text{f} (\text{reactants})] and ∆H^\circ_\text{f} values from Appendix 2 to calculate ∆H^\circ_\text{rxn}.

Setup The (∆H^\circ_\text{f}) values for \text{Ag}^+(aq), \text{Cl}^–(aq), and \text{AgCl}(s) are +105.9, –167.2, and –27.0  \text{kJ/mol}, respectively.

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Using Equation 10.18

∆H^\circ_\text{rxn} = ∆H^\circ_\text{f} (\text{AgCl}) – [∆H^\circ_\text{f} (\text{Ag}^+) + ∆H^\circ_\text{f}(\text{Cl}^–)]

= –127.0  \text{kJ/mol} – [(+105.9  \text{kJ/mol}) + (–167.2  \text{kJ/mol)}]

= –127.0  \text{kJ/mol} – (–61.3  \text{kJ/mol}) = –65.7  \text{kJ/mol}

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