Chemical Engineering - Chemical Reaction Engineering

The dispersion number of perfect mixed flow is

For the reaction , the rate of formation of Z is 0.2 gm mole/litre.hr. what is the rate of disappearance of X in gm mole/litre. hr ?

An irreversible aqueous phase reaction, A + B P, is carried out in an adiabatic mixed flow reactor. A feed containing 4kmole/m³ of each A and B enters the reactor at 8m³ /hr. If the temperature of the exit stream is never to exceed 390 K, what is the maximum inlet feed temperature allowed?
Data: Heat of reaction = - 50 kJ/mole
Density of the reacting mixture = 1000kg/m³
Specific heat of reacting mixture = 2kJ/kg.K
The above data can be assumed to be independent of temperature and composition.

For a heterogenous catalytic reaction, A + B C, with equimole feed of A and B, the initial rate - r_A0 is invariant with total pressure. The rate controlling step is

Half life period of a first order irreversible reaction A B is