Question

The hydrolysis of lactose uses lactase to produce galactose and glucose он он OH lacta se CH,OH Кон у OH HTOH He L KOM OH C OH Galactose он Glucose Lactose A lab scale reaction of the given above is performed in a batch reactor. Concentration oflactose was measured at a various times as given below: TIME LACTOSE CONCENTRATION hrs mmol/L 0.0 0.310 0.2 0.258 0.218 0.6 0.173 0.113 0.043 0.018 1.4 0.015 1.6 0.008 0.001 0.4 0.8 1.0 1.2 1.8 Assuming MM kinetics for the reaction here, determine the Vmax and Km using the reactor data given by plotting a linear graph with X and Y values. For your calculations, please include the following: • • A table with the correct values of the X data and Y data, calculated from the data in the table here. A scatter plot with the data correctly used, showing a linear regression equation. Make sure that the slope, the intercept, and the R2 value are obtained. Vmax and Km calculated from theresults of the graph with the correct units included. •

you have to find X and Y using those data on the table

Answer 1

Answer:

Tine (hr) units are provided in graph 0.2 0.4 0.6 0.8 [Lactose] (MM) V =[Lactose]/Time 1/V(as Y) 0.31 0.258 1.29 0.77519 0.218 0.545 1.83486 0.173 0.28833 3.46821 0.113 0.14125 7.07965 0.043 0.043 23.25581 0.018 0.015 66.66667 0.015 0.01071 93.33333 0.008 0.005 200 1E-3 5.55556E-4 1800 1/[Lactose)(as X) 3.22581 3.87597 4.58716 5.78035 8.84956 23.25581 55.55556 66.66667 125 1.2 1.4 1.6 1.8 1000 procedure. 1. Double reciprocal Plot: Plotted 1/[Lactose) in mM-along X axis and 1N in mM-hr along Y axis following the Michaelis Menten equation 1/V=1/Vmax +km/Vmax 1/(Lactose] 2. Fitted with linear fitting equation Y = A +B*X. Fitted Parameters are shown on the graph. 3. Used the value of slope=K/Vmax =B = 0.55113 and intercept 1/Vmax =A=9.22918 to calculated the Km and Vmax- 1000 - 1N (mM'hr) [03-05-2020 08:31 "/Graph 1" (2458972)] Linear Regression for Data2_B: Y = A +B*X Parameter Value Error A B 9.22918 0.55113 2.27951 0.00377 R SDNP 0.99984 6.257399 <0.0001 -200 200 400 600 800 1000 1200 1400 1600 1800 2000 1/[Lactose) (mm) Calculation of K, and Vmax R2= 0.99984 Intercept =A = 1/Vmax = 9.22918 mM-hr Vmax = 0.10835 mM hr1 slope =B= Km/Vmax = 0.55113 (mM1 hr/mM-) K = 0.55113 (mM-1 hr/mM-) x 0.10835 mM hr? Km = 0.05971 mm