Dear Baru Debtera Bejena thank you for asking these interesting technical questions. First of all, be very careful when preparing a solution of 400 g NaOH in 1 liter of water. This process is highly exothermic, and the solution gets rather hot. When handling these concentrated alkali hydroxide solutions, alway wear safety glasses and rubber gloves and strictly avoid contact with your skin and eyes. An aqueous solution of sodium silicate is basic itself, so there will be no exothermic reaction when mixing with the NaOH solution. You can keep the resulting solution indefinitely at room temperature. There will be no further reaction at 60 °C. However, take care that the solution is stored in tightly closed bottles. Due to its highly basic character it will otherwise absorb carbon dioxide from the air.
Good luck with your research and best wishes, Frank Edelmann