A chemist fills a reaction vessel with $0\mathrm{.}476g$ calcium phosphate $(C{a}_3(P{O}_4{)}_2)$ solid, $0\mathrm{.}206M$ calcium $(C{a}^{2+})$ aqueous solution, and $0\mathrm{.}366M$ phosphate $(P{O}_4^{3-})$ aqueous solution at a temperature of $25\mathrm{.}0C.$

Under these conditions, calculate the reaction free energy $G$ for the following chemical reaction:

$C{a}_3(P{O}_4{)}_2(s)3C{a}^{2+}(aq)+2P{O}_4^{3-}(aq)$

Use the thermodynamic information in the ALEKS Data tab. Round your answer to the nearest kilojoule.