The optimal reaction conditions for the synthesis of polyethylene oxide PEO from ethylene oxide EO monomer with the highest molecular weight and the highest yield involve controlling several factors, including temperature, pressure, catalyst, and reaction time.1. Temperature: The reaction temperature should be maintained between 100-200C. Lower temperatures may result in slow reaction rates, while higher temperatures can lead to side reactions and chain termination, reducing the molecular weight of the PEO.2. Pressure: The pressure should be kept between 1-10 atm. Higher pressures can increase the reaction rate, but excessive pressure may lead to unwanted side reactions.3. Catalyst: The choice of catalyst is crucial for the synthesis of PEO with high molecular weight and yield. Alkali metal alkoxides, such as potassium tert-butoxide KOtBu or sodium methoxide NaOMe , are commonly used as catalysts. The catalyst concentration should be optimized to achieve the desired molecular weight and yield. Typically, lower catalyst concentrations result in higher molecular weights.4. Reaction time: The reaction time should be optimized to achieve the highest yield and molecular weight. Longer reaction times can lead to higher molecular weights, but excessive reaction times may result in side reactions and chain termination.5. Inert atmosphere: The reaction should be carried out under an inert atmosphere e.g., nitrogen or argon to prevent unwanted side reactions with oxygen or moisture.6. Solvent: The use of a solvent can help control the reaction rate and improve the yield. Common solvents for PEO synthesis include toluene, tetrahydrofuran THF , and dimethyl sulfoxide DMSO .In summary, the optimal reaction conditions for the synthesis of PEO from EO monomer with the highest molecular weight and yield involve maintaining a temperature between 100-200C, a pressure between 1-10 atm, using an appropriate catalyst, optimizing the reaction time, and carrying out the reaction under an inert atmosphere and in a suitable solvent.