Calculate the equilibrium percent conversion of ethylene oxide to ethylene glycol at 298 K and 1 bar if the initial molar ratio of ethylene oxide to water is 3.0.

To simplify the calculations, assume that the gas phase is an ideal gas mixture, that γ_w = 1.0, and that the shortcut K value is applicable for ethylene oxide and ethylene glycol.

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C₂H4O(g) + H₂O) = (CH₂OH)₂ (1 M aq solution) AG-7824 J/mole