correct answer is between 0.45 and 0.49

The gas-phase reaction, A+0.5B>3P occurs in a packed bed reactor. The feed composition consists of 80 mole % of A and 20 mole % of B. Compound B is the limiting reactant. The rate law is rB=KC1.1CB where k=0.07 in the L,kg,min,mol system of units. The total inlet volumetric flow rate is 0.012L/min. If needed, the cross sectional area of the reactor is 0.0060m2 and the pressure drop parameter is 0.0097 1/kg. The total inlet pressure and temperature are, respectively, 210kPa and 300K, and the gas constant, R, is 8.314LkPa ( (molK). Calculate the conversion of component B, expressed to two decimal places, at the exit of the reactor when the total amount of catalyst in the reactor is 3.5kg. Assume that the system operates isothermally