$27\mathrm{.}5.$ Enzyme E catalyzes the decomposition of substrate A$.$ To see whether substance B acts as

inhibitor we make two kinetic runs in a batch reactor, one with B present, the other without B$.$ From

the data recorded below

a$.$ Find a rate equation to represent the decomposition of $A.$

b$.$ What is the role of $B$ in this decomposition?

c$.$ Suggest a mechanism for the reaction.

Run $1.C_{AO}=600mo\frac{l}{m^3},C_{EO}=8g\frac{m}{m^3},$ no B present

Run $2.C_{AO}=800mo\frac{l}{m^3},C_{EO}=8g\frac{m}{m^3},C_B=C_{Bo}=100mo\frac{l}{m^3}$