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An enzyme ATPase has a molecular weight of 5 x 104 daltons, a KM value of 10-4M, and a k2 value of k2 = 104 molecules ATP/min molecule enzyme at 37°e. The reaction catalyzed is the
following:
ATP
ATPase) ADP+Pj
which can also be represented as
E+S--hES~E+P
.......----k,
where S is ATP. The enzyme at this temperature is unstable. The enzyme inactivation kinetics are first order:
E =Eo e^(-k,r)
where Eo is the initial enzyme concentration and kd = 0.1 min-I. In an experiment with a partially pure enzyme preparation. lO)..lg of total crude protein (containing enzyme) is added to a 1 rnl reaction mixture containing 0.02 M ATP and incubated at 37°C. After 12 hours the reaction ends (i.e., t --t 00) and the inorganic phosphate (Pi) concentration is found to be 0.002 M, which was initially zero. What fraction of the crude protein preparation was the enzyme? Hint: Since [S] » Kin' the reaction rate can be represented by
d( P)/dt = k 2 [E]
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