Question

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30- A species of Shewanella bacteria contains an enzyme that catalyzes the dehalogenation of tetrachloroethene. The K_M is 120 μM and the V_max is 1.0 nmol · min⁻¹ · mg⁻¹. What is the substrate concentration when the velocity is 0.75 nmol · min⁻¹ · mL⁻¹?

Answer 1

Michaelis–Menten equation is used typically in enzymatic reactions.

V = Vmax*[S] / (Km + [S])

Where

Vmax = max rate velocity

[S] = substrate concentration

Km = Michaelis–Menten constant

V = reaction rate

Michaelis–Menten equation is used typically in enzymatic reactions.

V = Vmax*[S] / (Km + [S])

Where

Vmax = max rate velocity

[S] = substrate concentration

Km = Michaelis–Menten constant

V = reaction rate

then...

if we need

[S] = ? for V = 0.75; get

V = Vmax*[S] / (Km + [S])

change KM units from micromol to nanomol --> (120 microm = 120*10^3 nanom)

0.75 = 1*[S] / (120000+ [S])

0.75 *120000 + 0.75 *[S] = [S]

0.25*[S] = 90000

[S] = 90000 / 0.25

[S] = 360000 nanoM = 360.000 micro M = 360 microM