CHM 266       Spring 2007   Organic Chemistry Lab

Experiment 8 Mutarotation of Glucose

Please fill out the report in the following order

A. Your Name (-0.5 pt. if missing)

B.  Date (-0.5 pt. if missing)

C.  Experiment Title and Number (-0.5 pt. if missing)

D.  Write the equation of mutarotation (1 pt)

E. Calculations: (14 pt.)

Follow the exact order for your calculations and show them clearly.

 

1- Calculate what the observed rotation should be at zero time (ao) assuming a specific rotation of +112° (corresponding to the a-anomer).  The equation for the relationship of specific rotation to observed rotation of solution is

                [a]D25° = aobs / l c

 

            aobs = observed rotation

            l = length of tube in decimeters (2 dm)

            c = concentration of g per ml.

 

2- Calculate what the observed rotation should be at infinite time (a¥) assuming a specific rotation of +53°  (corresponding to the equilibrium mixture). Compare this value with your observed rotation at after 30 minutes.

 

3. Using a spreadsheet program like Excel or Quattro Pro, prepare a table including the time (s), observed rotations at time t (at), at - a¥ , ln(at - a¥), and k (first order rate constant calculated from step 9) and find the average value of k.

 

4.  Plot aobs vs. time (s).  (Use a plotting program)

 

5.  Plot ln(at - a¥) vs. time (s).  Which one of these two plots shows a linear relationship? 

 

6. Fit the best line to the data.  (Use a plotting program)

 

7. From extrapolation of the line find the y-intercept (ao) and compare it with the calculated value at step 1.

 

8. Find the slope of the line at step 6. The early points should be in a line. This is the k (first order rate constant)

 

9.  Assume a first order reaction and calculate the rate constant k for each reading by the following equation and include it in the table at step 3:

 

                        k =  (1/t) ln [(ao-a¥)/(at - a¥)]

 

            ao  = observed polarimeter reading at zero time

            a¥ = reading after equilibrium is reached

            at  = reading at time t

 

10. Repeat steps 3-10 for the second run.

 

11. Calculate the average value of k from step 8 (or step 3 table) for the two runs.

 

12. Calculate the average value of k from step 9 for the two runs.

F.  Write your name on all polarimeter print out and staple them to your report  (1 pt.)