please show ALL EQUATIONS used handwritten and then show the polymath work. please do not post an already existing solution on chegg

The following gas-phase reactions occur in a PFR: Reaction 1: 2AB Reaction 2: A2C A is fed at a rate of 100mol/s with an inert and the mole fraction of A yAO =0.36, a temperature of 150C, and a concentration of 0.1mol/dm3. Determine the temperature and molar flow rate profiles down the reactor. HPXAA=20,000J/(molofAreactedinreaction1)HAaA=60,000J/(molofAreactedinreaction2)CPA=90J/moliCk1A=10exp[RE1(3001T1)]s1CPB=90J/molicE1/R=4000KCPC=180J/molicCK2A=0.09exp[RE2(3001T1)]dm3/molsU2=4000J/m3sCE2/R=9000KTa=100C(constant) Using polymath, show all your equations, assumptions, and results. Please provide the polymath code. The following results are needed: 1. The variation of instantaneous selectivity of the desired product B to that of undesired C within the reactor length (volume). Repeat that for the yield. 2. Plot the reactor temperature and utility temperature versus reactor length (volume). 3. Plot the conversion from these reactions with reactor length (volume). 4. Plot the flowrates of all species with reactor length (volume)