Answer
(a) $-225\text{ kJ/mol-rxn}$
Work Step by Step
$\Delta G^{\circ}=\Sigma n_{p}\Delta G_{f}^{\circ}(products)-\Sigma n_{r}\Delta G_{f}^{\circ}(reactants)$
$=[2\Delta G_{f}^{\circ}(KCl,s)+3\Delta G_{f}^{\circ}(O_{2},g)]-[2\Delta G_{f}^{\circ}(KClO_{3},s)]$
$=[2(-408.77\text{ kJ/mol-rxn})+3(0)]-[2(-296.25\text{ kJ/mol-rxn})]$
$=-225\text{ kJ/mol-rxn}$