Discuss the below in detail:
Q: Pulverized coal pellets, which may be approximated as carbon spheres of radius ro = 1 mm, are burned in a pure oxygen atmosphere at 1450 K and 1 atm. Oxygen is transferred to the particle surface by diffusion, where it is consumed in the reaction C + O2 ? CO2. The reaction rate is first order and of the form N''O2 = -k CO2 (ro), where k''1 = 0.1 m/s. Neglecting changes in ro, determine the steady-state O2 molar consumption rate in k mol/s. At 1450 K, the binary diffusion coefficient for O2 and CO2 is 1.71 x 10-4 m2/s.