(a) Use a graphing calculator or graphing software to calculate the activation energy for the acid hydrolysis of sucrose to give glucose and fructose (see Exercise 7.9) from an Arrhenius plot of the data below.

(b) Calculate the rate constant at 37°C (human body temperature).

(c) From data in Appendix 2A, calculate the enthalpy change for this reaction, assuming that the solvation enthalpies of the sugars are negligible. Draw an energy profile for the overall process.

Exercise 7.9

The hydrolysis of sucrose (C₁₂H₂₂O₁₁) produces fructose and glucose: C₁₂H₂₂O₁₁(aq) + H₂O(l) → C₆H₁₂O₆(glucose, aq) + C₆H₁₂O₆ (fructose, aq). Two mechanisms are proposed for this reaction:

Under what conditions can these two mechanisms be distinguished by using kinetic data?

Transcribed Image Text:

Temperature/C 24 kr/s-1 28 4.8x107.8X10- 32 36 40. 13X10- 20.X 10-32 10-