The gas-phase reaction, A+0.5B3P occurs in a packed bed reactor. The rate law is rA=kCA2CB where k=40L3/(gminmol2). The superficial gas velocity ( ' G) is 1.4kg/m2s with a density of 1.3 kg/m3 and a viscosity of 2.2105kg/ms. The porosity, catalyst density, and particle diameter are, respectively, 0.5,2.3g/cm3, and 4mm. The cross sectional area of the reactor is 60cm2. The inlet pressure and temperature are, respectively, 150kPa and 400K. The feed composition consists of 80 mole % of A and 20 mole\% of B. Calculate the conversion (X) of component A when the catalyst weight in the reactor is 45kg. Assume that the system operates isothermally. Note that this problem requires a solver (Matlab, Polymath, etc). Please express your answer to two decimal places. Be careful with the units