Question

In: Chemistry

The data below were collected for an enzyme-catalyzed reaction. [S] (mM) 0.25 0.50 1.00 2.00 V0...

The data below were collected for an enzyme-catalyzed reaction.

[S] (mM)

0.25

0.50

1.00

2.00

V0 (mM*s-1)

2.00

3.33

5.00

6.67

Determine Vmax and Km for this reaction.

Solutions

Expert Solution

In the question above they have given different substrate concentration and value of V0 at each substrate concentration so we can plot Lineweaver–Burk plot which is called as double reciprocal plot to get values of Km and Vmax for above reaction,

According to Michealis-Menten equation ,

V= Vmax[S]/Km+[S]

Taking the reciprocals gives ,

1/V = Km/Vmax[S]+1/Vmax

The Lineweaver–Burk plot was widely used to determine important terms in enzyme kinetics, such as Km and Vmax, before the wide availability of powerful computers and non-linear regression software. The y-intercept of such a graph is equivalent to the inverse of Vmax; the x-intercept of the graph represents ?1/Km

plotting 1/v against 1/[S] give a straight line:

y intercept = 1 / Vmax

gradient = Km / Vmax

x intercept = -1/ Km

Now y intercept is 0.1 from the graph,

Therefore 0.1 = 1/Vmax; Vmax= 10 mMS-1

And x Intercept is = - 1 from the graph,

Therefore -1 = -1/Km; Km = 1 mM


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