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A liquid mixture is flowing through a cylindrical pipe in which the wall of the pipe acts as a catalyst for a dimerisation of one of the components in the mixture according to the following surface reaction: 2A → P -TA = K₂C²s (mol/m² s) where CAS = the concentration of A at the wall liquid interface. The concentration of A is relatively low. Further, assume steady state operation. a) Show that the concentration of A at the wall liquid phase at the entrance of the reactor equals 0.27 mol/m³. Do you think that mass transfer effects limit the conversion process? Motivate! b) Determine the conversion if: i) external mass transfer is neglected ii) external mass transfer is included Further given: mass transfer coefficient of A to the wall (kc) surface reaction rate constant (k2) 1.0-10-4 m/s 1.0-10-³ m²/mol s radius of pipe (R) 0.10 m liquid volumetric flow rate (v) 1.0-10-³ m³/s 1.0 mol/m³ inlet concentration of A (CAO) length of pipe (L) 10 m