The kinetics of chymotrypsin w

The kinetics of chymotrypsin were studied and yielded a KM of 5mM and a Vmax of 0.2 mM/min. The enzyme concentration was 0.20μg/ml. Calculate the turnover number, assuming one binding site perenzyme.

Answer:

Ans. Given,

           Vmax = 0.2 mM / min                               ; [1 min = 60 s]

= 0.00333 mM/ s                            ; [1 mM = 1000 uM]

= 3.33 uM/ s

           [E] = 0.20 ug/ mL

# Step 1: Convert [E] in terms of uM

Molar mass of Chymotrypsin = 25.6 kDa = 25600 g/ mol

Now,

           [E] = 0.20 ug/ mL

                       = 2.0 x 10-7 g / mL

                       = (2.0 x 10-5 g / 25600.0 g mol-1) / mL

                       = 7.8125 x 10-12 mol /mL                                     ;[1 mL = 0.001 L]

                       = 7.8125 x 10-12 mol / 0.001 L

                       = 7.8125 x 10-9 M

                       = 7.8125 x 10-3 uM

Therefore, 0.2 ug/ mL chymotrypsin is equivalent to7.8125 x 10-3 uM chymotrypsin.

# Now,

           Turnover number, Kcat = Vmax /[E]

                                               = 3.33 uM s-1 / (7.8125 x 10-3 uM)

                                               = 426.24s-1

Hence, turnover number = 426.24 s-1

# Note: The molar mass of chymotrypsin = 25.6kDa (Wilcox 1970)

Change in molar mass of the enzyme would cause change in Kcatvalue, too.


 
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