Answer
$-27.41\,kJ/mol$
Work Step by Step
We find:
$\Delta G^{\circ}_{rxn}=\Sigma n_{p}\Delta G^{\circ}_{f}(products)-\Sigma n_{r}\Delta G^{\circ}_{f}(reactants)$
$=[\Delta G_{f}^{\circ}(Na^{+},aq)+\Delta G_{f}^{\circ}(I^{-},aq)]-[\Delta G_{f}^{\circ}(NaI,s)]$
$=[(-261.90\,kJ/mol)+(-51.57\,kJ/mol)]-(-286.06\,kJ/mol)$
$=-27.41\,kJ/mol$