The Conversion of Sucrose (Table Sugar) to Glucose and Fructose

Multiple Choice

The conversion of sucrose (table sugar) to glucose and fructose is first order in the concentration of sucrose, which means that the rate of reaction is proportional to the concentration of the sucrose. The rate of disappearance of sucrose can be expressed as , where c represents the concentration of the sucrose, and k is called the rate constant and is mathematically identical to the negative of the decay constant. If it takes 4 hours for the sucrose concentration to drop by a factor of 8, what is the rate constant?

A) 0.69 hour^-1
B) 0.50 hour^-1
C) 0.52 hour^-1
D) 2.00 hour^-1