1. Langmuir Hinshelwood model

2.  rate of reaction and temperature

The relationship between rate equation and temperature: Equilibrium
constant K decreases with increase in temperature and is independent of

3. Equilibrium constant and pressure

For an ideal gas mixture undergoing a reversible gaseous phase chemical
the reaction the equilibrium constant increases of decreases with pressure
depending upon the stoichiometric coefficient of the reaction.

4.  Equations for PFR, CSTR, and batch reactor

  1. Equation for PFR

2. Equation for CSTR

3. Constant volume first-order reaction in PFR/batch reactor

4. Varying volume reaction

In case of varying volume (presence of inserts) constant pressure gas
phase reaction A –> B

5. Rate Constant K for the first-order irreversible system for any ϵA

7. Varying volume batch reactor

The rate equation for varying volume batch reactor

The rate equation for varying volume batch reactor first order reaction system

The rate equation for Varying volume batch reactor zero order reaction

8. Conversion for constant volume second order irreversible reaction

Conversion for second order irreversible reaction (constant volume) A –>
B in batch reactor/plug flow reactor

9. The final rate equation for a constant volume reaction of order n is

For A constant volume reaction A to B with order n and rate constant k,
final rate equation is

10. Zero-order reaction

The rate equation for the zero-order reaction is defined such that

5. Arrhenius law

6. Thiele Modulus

1. Thiele modulus for nth order irreversible reaction

2. Thiele modulus for the solid catalyzed reaction

3. Thiele modulus for spherical pellet

4. Relation between rates rA1 and rA2 with Thiele modulus MT1 and MT2

7. Effective order of reaction

In case of strong pore diffusion for nth order reaction effective order
becomes (n+1)/2 order reaction as evident by below equation

8. Reactors in series

1. PFR and CSTR in First order reaction

For N CSTR in series each of same volume V in the first-order reaction

For N plug flow reactors in series of same volume in first-order reaction

  1. Holding time in a batch reactor

2. Spacetime in the plug flow reactor

10. Exit age distribution

The distribution of residence times is represented by an exit age
distribution, E(t). The function E(t) has the units of time-1 and is defined
such that

The fraction of the fluid that spends a given duration, t inside the reactor
is given by the value of E(t)dt.
The fraction of the fluid that leaves the reactor with an ageless t1 is

The fraction of the fluid that leaves the reactor with an age greater than

E is defined as

  1. Exit age distribution for CST 

Exit age distribution E(t) for CSTR is defined as

2. Exit age distribution for

Exit age distribution E(t) for PFR is defined as

The E curve for plug flow reactor is called Dirac-delta function.

11. Controlling activation energy

Controlling activation energy when one of the actual activation energy
and diffusion activation energy controls the reaction

12. Interfacial area per unit volume of dispersion in gas-liquid contactor

13. Peclet number

Peclet number for ideal CSTR and ideal PFR

14. Conversion

  1. Conversion in adiabatic reactor

2. Finding conversion given heat of reaction

15. Effectiveness factor of catalyst

Effectiveness factor of catalyst is defined as ratio of reaction rate with
diffusion resistance to reaction rate without diffusion resistance