In a study of enzyme activity, the initial rate of reaction (y, in μMoles/min) is measured with various substrate concentrations (x, in mMoles/L) but the same enzyme concentration. The reaction rate measurements have an accuracy of 0.05 μMoles/min.

In 1913 Leonor Michaelis and Maud Menten presented a theory which predicted an inverse x & y relationship (the Michaelis-Menten equation):

1/v = (1 + Km/[S] )/vmax

where v is the rate of reaction, vmax is the maximum possible rate of reaction, Km is the Michaelis-Menton constant, and [S] is the concentration of the substrate. Comparison of the Michaelis-Menten equation with the generic inverse x & y relationship, suggests:

A = 1/vmax

B = Km/vmax

so

Km=B/A

  1. Fit the below data to an inverse x & y relationship.
  2. Consider the scientific claim of an inverse x & y law. Does this evidence (data) confirm or contradict this claim? Support your answer quantitatively.
  3. Properly report (sigfigs, error, units) the A and B parameters of the best-fit relationship.
  4. Use a spreadsheet to calculate the Michaelis-Menton constant, and properly report (sigfigs, error, units) the value.
  5. Self-document the spreadsheet and turn in a hardcopy of the page.
  6. Make a hardcopy plot of the data with best-fit curve. Make an additional hardcopy plot with scales chosen so as to linearize the curve. (FYI: this linearized curve is called a Lineweaver-Burk plot.)

X
(mMoles/L)
Y
(μMoles/min)
9.0 × 10-21.05
0.1741.59
0.191.75
0.332.25
0.372.42
0.512.63
0.913.18
1.013.15
1.743.49
2.73.68
27111 7 69E7