Question

For the part of the Enumentis Experiment fed nyme concentration was tired by altering the substrate concentration. The following data were obtained for three different trials. Determine the values of maximum reaction velocity and min units of Ms and respectively. Hint Remember how to construct the Lineweaver-Burke Plot via using the Micheals Menten Egn. vp (max Slo/km (Slo) Sonic Substrate Concentration (M) w e lcy rate of reaction (MA) Trial Slo Molar) slope Ivo AP/A) (Molas) DODOS 100E-05 0.00026 200E-OS 00011 1. DEOS max-3.00 105MS Km 0.00038 M Bymax -2.00 -104 MS km 0.00038M max2.00 105 Km 0.0008 M Dmax -1.50 105 /s K -0.0002 M

Answer 1

Michaelis Menten equation:

$v_0 = \frac{V_{max}[S]}{K_M + [S]}$

$\frac{1}{v_0} = \frac{K_M + [S]}{V_{max}[S]}$

$\frac{1}{v_0} = (\frac{K_M }{V_{max}}) \frac{1}{[S]} + \frac{1}{V_{max}}$

This is an equation of a straight line ( y = mx + c) with slope = (KM / Vmax ) and y-intercept = (1/ Vmax)

From the given data:

Trial	[S]0	v0	1/[S]0	1/v0
1	0.00051	3.00E-05	1960.784314	3.33E+04
2	0.00026	2.00E-05	3846.153846	5.00E+04
3	0.00013	1.00E-05	7692.307692	1.00E+05

Plot $1/v_0$ vs  

Lineweaver Burk Plot 1.20E+05 y = 11.833x+7864.9 1.00E+05 8.00E+04 6.00E+04 4.00E+04 2.00E+04 0.00E+00 0 1000 2000 5000 6000 7000 8000 9000 3000 4000 1/[S]O

Fitting a straight line to the data points gives:

y-intercept = 1/ Vmax = 7864.9 $\Rightarrow$ Vmax  = 0.00012

Slope = KM / Vmax = 11.833 $\Rightarrow$ KM = Vmax * 11.833 $\Rightarrow$   KM = 0.0015