In: Chemistry
2) The initial rate for an enzyme-catalyzed reaction has been determined at a number of substrate concentrations. Data are given below. [S](mu*M) 5 10 20 50 100 200 500 vo (mu*Mmin-1) 21 62 92 126 185 210 217 a) Estimate Vmax and Km from a direct graph of vo vs [S] (Michaelis-Menton plot). b) Use a Lineweaver-Burk plot to analyze the same data. What are the values of Vmax and Km? c) If the total enzyme concentration is 100 pM, what is kcat? d) Calculate kcat/Km for this enzyme. Is the enzyme an efficient enzyme?
2) (a) Shwon below is the Michaelis-Menton plot for the given data point.
plot, [S] on x-axid and Vo on y-axis
Vmax = 217 mu.M/min
Km = 35 mu.M
(b) Shown below is the Lineraweaver-Burke plot
Plot 1/[S] on x-axis and 1/Vo on y-axis
y-intercept = 1/Vmax = 0.0364
Vmax = 27.47 mu.M/min
x-intercept = -1/Km = -0.0056
Km = 178.57 mu.M
(c) when [E] = 100 pm = 1 x 10^-4 mu.M
Kcat = Vmax/[E] = 27.47/1 x 10^-4 = 274,700 min-1
(d) For this enzyme Kcat/Km = 274,700/178.57 = 1538.33 1/mu.M.min
The enzyme is an efficient enzyme.
Plots given below
[S](mu.M) | Vo(muM/m) | 1/[S] | 1/Vo |
5 | 21 | 0.2 | 0.04762 |
10 | 62 | 0.1 | 0.01623 |
20 | 92 | 0.05 | 0.01087 |
50 | 126 | 0.02 | 0.00794 |
100 | 185 | 0.01 | 0.005405 |
200 | 210 | 0.005 | 0.004762 |
500 | 217 | 0.002 | 0.004608 |