Consider the hydration reaction at 298 K: with

CHEMISTRY · Single correct · A Level · Chemistry · Thermodynamics · Thermodynamics

Problem

Consider the hydration reaction at 298 K: C2H4(g)+H2O(l)→C2H5OH(l)\text{C}_2\text{H}_4(g)+\text{H}_2\text{O}(l)\rightarrow \text{C}_2\text{H}_5\text{OH}(l) with ΔSrxn∘=−112.5 J K−1\Delta S^{\circ}_{\text{rxn}}=-112.5\,\text{J K}^{-1}. A data booklet lists S∘(C2H4)=0.2195 kJ K−1 mol−1S^{\circ}(\text{C}_2\text{H}_4)=0.2195\,\text{kJ K}^{-1}\,\text{mol}^{-1} and S∘(H2O)=69.9 J K−1 mol−1S^{\circ}(\text{H}_2\text{O})=69.9\,\text{J K}^{-1}\,\text{mol}^{-1}. After calculating S∘(C2H5OH)S^{\circ}(\text{C}_2\text{H}_5\text{OH}), a student compares the result with the literature value 160.7 J K−1 mol−1\text{J K}^{-1}\,\text{mol}^{-1}. What is the percent error of the student’s value relative to the literature value? (a) 33\% (b) 3\% (c) 10\% (d) 9\%

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