Question

at a substrate concentration of 0.001 M and 0.002 M an allosteric enzyme yields velocities equal to 30% an 75% of the maximum velocities of the reaction. what is the value of the hill constant and the constant for the dissociation of the substrate from the enzyme. what is the significance of the value of the Hill constant?

Answer 1

Hill equation

where V is reaction velocity. V_max is maximum reaction velocity.

is enzyme concentration. n is the hill coefficient  

K is constant of dissociation.

so for   

put the values in the Hill equation.

     

  

     

take log in both sides

     ..........(1)

for

again put values and we get

  

take log in both sides

...................(2)

subtract equation 2 from equation 1

     

     

put this value of n in equation (1)

  

K = 0.0567

Hill coefficient indicating the degree of cooperativity.