Answer:
a) 50% of the maximum velocity
b) 33.33% of the maximum velocity
c) 9.09% of the maximum velocity
d) 66.66% of the maximum velocity
e) 90.9% of the maximum velocity
Explanation:
The Michaelis-Menten kinetis is represented by
v = Vmax*S/(Km+S)
where
v= reaction rate
S= Substrate's concentration
Vmax= maximum rate of reaction
Km= constant
a) for S=Km
v = Vmax*Km/(2Km) = Vmax/2
v/Vmax = 1/2= 50% of the maximum velocity
b) for S=Km/2
v = Vmax*(Km/2)/(3/2Km) = Vmax/3
v/Vmax = 1/3= 33.33% of the maximum velocity
c) for S= 0.1*Km=Km/10
v = Vmax*(Km/10)/(11/10Km) = Vmax/11
v/Vmax = 1/11= 9.09% of the maximum velocity
d) for S=2*Km
v = Vmax*(2*Km)/(3*Km) = (2/3)* Vmax
v/Vmax = 2/3 = 66.66% of the maximum velocity
d) for S=10*Km
v = Vmax*(10*Km)/(11*Km) = (10/11)* Vmax
v/Vmax = 10/11 = 90.9 % of the maximum velocity
