Answer
$175.0\,JK^{-1}mol^{-1}$
Work Step by Step
$\Delta S^{\circ}_{rxn}=\Sigma n_{p}S^{\circ}(products)-\Sigma n_{r}S^{\circ}(reactants)$
$=[S^{\circ}(MgO,s)+S^{\circ}(CO_{2},g)]-[S^{\circ}(MgCO_{3},s)]$
$=[(26.94\,JK^{-1}mol^{-1})+(213.74\,JK^{-1}mol^{-1})]-(65.7\,JK^{-1}mol^{-1})$
$=175.0\,JK^{-1}mol^{-1}$
$\Delta S^{\circ}_{rxn}$ is positive because of the increase in entropy.