a) Need to solve the problem by using RK4 and clearly state all steps so that I can use them to solve entire problem.

b) Derive the system of ODEs for d(Concentration)/dt, dF/dW, dP/dW with explaination how they have been derived.

c) Show with an example (1st iteration) how RK4 is used with ODEs obtained from d(concentation)/dt to calculate concentrations.

d) Show how to use dF/dt along with an example (1st iteration) how to use RK4

e) Show how to use dP/dt along with an example (1st iteration) how to use RK4

f) Show how to use e) and f) to calculate Production of D and maximize it.

g) Show how to calculate the length of catalyst tube.

The following multiple reactions are happening in a catalytic reactor in gas phase (ideal gas). A+2B2C+DrA=105CA2CBB+E0.5A+CrB=106CB0.5CE0.75E+DFrE=5104CECD2 The unit for rate of reaction is m3smole when unit of concentrations are m3mole. The pressure drop through the catalyst depends on the diameter of the tube (dTube) in meter the formula for pressure drop is : dwdP=dTube21107Pw(wherePisPa,andwiskgofcatalyst) If volumetric molar flow rates are FB=1skmole,FA=1skmole,FE=0.5skmole and temperature of the reactor is isothermal at 100C, find the weight of catalyst (diameter of tubes and length of tubes filled with catalyst) when production of D is maximum. Bulk density of catalyst is 1500m3kg and void fraction () is 0.5 . Inlet pressure is 500kPa. The following multiple reactions are happening in a catalytic reactor in gas phase (ideal gas). A+2B2C+DrA=105CA2CBB+E0.5A+CrB=106CB0.5CE0.75E+DFrE=5104CECD2 The unit for rate of reaction is m3smole when unit of concentrations are m3mole. The pressure drop through the catalyst depends on the diameter of the tube (dTube) in meter the formula for pressure drop is : dwdP=dTube21107Pw(wherePisPa,andwiskgofcatalyst) If volumetric molar flow rates are FB=1skmole,FA=1skmole,FE=0.5skmole and temperature of the reactor is isothermal at 100C, find the weight of catalyst (diameter of tubes and length of tubes filled with catalyst) when production of D is maximum. Bulk density of catalyst is 1500m3kg and void fraction () is 0.5 . Inlet pressure is 500kPa