(Solved): 4. Sucrose (table sugar) reacts with water in acidic conditions to give glucose and fructose, two s ...

4. Sucrose (table sugar) reacts with water in acidic conditions to give glucose and fructose, two simple sugars that have the same molecular formulas but different molecular structures. $\begin{array}{l}{\mathrm{C}}_{12}{\mathrm{H}}_{22}{\mathrm{O}}_{11}(\mathrm{aq})+{\mathrm{H}}_2\mathrm{O}(\mathrm{I})?{\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_6(\mathrm{aq})+{\mathrm{C}}_6{\mathrm{H}}_{12}{\mathrm{O}}_6(\mathrm{aq})\\ \text{ Sucrose }\\ \text{ Glucose }\end{array}$ A student monitored the reaction rate of a $0.600\mathrm{M}$ sucrose solution, at $25^{?}\mathrm{C}$, and determined that the reaction is first order with respect to sucrose. If at $25.0^{?}\mathrm{C}$ it takes 3.33-hours for the concentration of the $0.600\mathrm{M}$ solution to drop to $0.300\mathrm{M}$. How many hours are required for the concentration of the sucrose solution to drop to $10.0\%$ of its initial concentration.