For a methane cracking reaction that happens in a packedbed (weighing 0.250 g catalyst) reactor at 800 C, the following reaction conditions are provided:

Inlet stream:

N2 flowrate (carrier gas) = 40 mL/min STP

CH4 flowrate (reactant) = 10 mL/min STP

Total flowrate (N2 + CH4) = 50 mL/min STP

Assume ideal gas Exit stream (steadystate conditions):

Total flowrate (measured by flowmeter) = 55 mL/min STP

CH4 composition from GC measurement = 0.10 (after 30 min of reaction)

H2 composition from GC measurement = 0.10 (after 30 min of reaction)

Assume ideal gas

Catalyst property: 10wt%Ni supported on 90% Alumina

Bed porosity = Assume 50% void

From the data given, calculate and proceed to determine whether the obtained reaction rate is free from external and internal mass transfer limitations. Adopt the Differential Reactor analysis in your calculation. Make sure to use dimensionless numbers in order to determine the relative rates, and utilize the Wilke-Chang equation to calculate the diffusion coefficient. Show the steps