Key to Exercise on Enzyme Kinetics
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1. A has a lower KM. The Vmax for Enzyme X is over 40; probably it is 44 or so.

     A: KM= 8.0 and Vmax = 44.0

     B: KM= 16.0 and Vmax = 44.0

     Note: although you should get the same results for any two sets of data, I didn't find that to be the case, although my results were consistent if I ignore the tenths.

     C: The KMshould be either 8 or 16. Using 8 for the KM gives Vmax = 36, and a visual check
      of the chart looks consistent with that. That is, [S] = 8 does seem to give v0 = 18.

           Using 16 for the KMgives Vmax = 32.5 which looks less realistic. It seems a bit low for
      the Vmax , and the [S] that gives v0 = 16 for curve C is clearly less than 10.

2. The data you should have for a–c ([S] = 0 - 400) are on the left, and your chart should look much like the one on the right. I could include all of the data, but I don't expect you to check all of the numbers.

[S]

a

b

c

0

0.0

0.0

0.0

50

266.7

200.0

200.0

100

400.0

300.0

333.3

150

480.0

360.0

428.6

200

533.3

400.0

500.0

250

571.4

428.6

555.6

300

600.0

450.0

600.0

350

622.2

466.7

636.4

400

640.0

480.0

666.7


3. a. Not from the chart; b. Yes; c. Yes.

4. The additional data are on the left.

2000

761.9

571.4

909.1

3000

774.2

580.6

937.5

4000

780.5

585.4

952.4

5000

784.3

588.2

961.5

6000

786.9

590.2

967.7

7000

788.7

591.5

972.2

8000

790.1

592.6

975.6

9000

791.2

593.4

978.3

10000

792.1

594.1

980.4


     a. Yes; b. Yes; c. No; d. KMbecause an enzyme in a cell is more likely to have [S] near the KMrather than a high [S].

5. Again, data are included for [S] = 0 to 600.

[S]

a

b

c

0

0.0

0.0

0.0

50

266.7

160.0

114.3

100

400.0

266.7

200.0

150

480.0

342.9

266.7

200

533.3

400.0

320.0

250

571.4

444.4

363.6

300

600.0

480.0

400.0

350

622.2

509.1

430.8

400

640.0

533.3

457.1

450

654.5

553.8

480.0

500

666.7

571.4

500.0

550

676.9

586.7

517.6

600

685.7

600.0

533.3



1/[S]

a

b

c

0.0200

0.0038

0.0063

0.0088

0.0100

0.0025

0.0038

0.0050

0.0069

0.0021

0.0029

0.0038

0.0050

0.0019

0.0025

0.0031

0.0040

0.0018

0.0023

0.0028

0.0033

0.0017

0.0021

0.0025

0.0029

0.0016

0.0020

0.0023

0.0025

0.0016

0.0019

0.0022

0.0022

0.0015

0.0018

0.0021

0.0020

0.0015

0.0018

0.0020

0.0018

0.0015

0.0017

0.0019

0.0017

0.0015

0.0017

0.0019

0.0015

0.0014

0.0016

0.0018

6. a. No–about all you can tell is that the y-intercept is between 0.001 and 0.002, which
     gives a very broad range for the reciprocal.
b. No. The chart above doesn't even show the x-intercept for the uninhibited plot.
c. This clearly shows that the three lines have the same Vmax and different KM's, which
    indicates competitive inhibition. That is possible but not clear from looking at the
    Michaelis-Menton chart.

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