(Solved): Consider the reaction \[ \begin{array}{l} 6 \mathrm{CO}_{2}(\mathrm{~g})+6 \mathrm{H}_{2} \mathrm{O ...

Consider the reaction \[ \begin{array}{l} 6 \mathrm{CO}_{2}(\mathrm{~g})+6 \mathrm{H}_{2} \mathrm{O}(\mathrm{I}) \longrightarrow \\ \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+6 \mathrm{O}_{2}(\mathrm{~g}) \end{array} \] Using standard thermodynamic data at \( 298 \mathrm{~K} \), calculate the entropy change for the surroundings when 1.79 moles of \( \mathbf{C O}_{2}(\mathbf{g}) \) react at standard conditions. \( \Delta \mathrm{S}^{\circ} \) surroundings \( = \) \( \mathrm{J} / \mathrm{K} \)