A solution of glycerol `C_(3)H_(8)O_(3)` , molar mass = 92 g `mol^(-1)` in water was prepared by dissolving some glycerol 500 g of water. This solution has a boiling point of `100.42^(@)C`. What mass of glycerol was dissolved to make this solution ? `K_(b)` for water=` 0.512 K kg mol^(-1).`