A research group discovers a new version of Xase, which they call Xase$*,$ that catalyzes the

chemical reaction X $$ Y$.$ The researchers begin to characterize the enzyme.

a$.$ In the first experiment, with $[$E$]$T at $4$ nM$,$ they find that the Vmax is $1\mathrm{.}6\backslash$mu M s$1$

$.$ Based on this

experiment, what is the kcat for Xase$*?($Include appropriate units.$)$

b$.$ In the second experiment, with $[$E$]$T at $1$ nM and $[$X$]$ at $30\backslash$mu M$,$ the researchers find that V$0=300$

nM s$1$

$.$ What is the measured KM of Xase$*$ for its substrate X$?($Include appropriate units.$)$

c$.$ Further research shows that the purified Xase$*$ used in the first two experiments was actually

contaminated with a reversible inhibitor called Z$.$ When Z is carefully removed from the Xase$*$

preparation and the two experiments are repeated, the measured Vmax in $($a$)$ is increased to $4\mathrm{.}8$

$\backslash$mu M s$1$

$,$ and the measured KM in $($b$)$ is now $15\backslash$mu M$.$ Calculate the values of $\backslash$alpha and $\backslash$alpha $$ for Z$.$ What

kind of an inhibitor is Z$?$