Chapter 6.8, Problem 19AE

Decomposition of Sucrose Reacting with water in an acidic solution at $35°C$, sucrose ${\text{(C}}_{\text{12}}{\text{H}}_{\text{22}}{\text{O}}_{\text{11}}\text{)}$ decomposes into glucose ${\text{(C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}\text{)}$ and fructose ${\text{(C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}\text{)}*$ according to the law of uninhibited decay. An initial concentration of $0.40\text{M}$ of sucrose decomposes to $0.40\text{M}$ sucrose in 30 minutes. What concentration of sucrose will remain after 2 hours? How long will it take until only $0.10\text{M}$ sucrose remains?