9.17. Sulfur dioxide is oxidized to sulfur trioxide in asmall pilot-plant reactor. S0, and 100% excess air are fedto the reactor at 450°C. The reaction proceeds to a 65%SO, conversion, and the products emerge from the reactorat 550°C. The production rate of SO,1.00 x 102 kg/ min. The reactor is surrounded by a waterjacket into which water at 25°C is fed.2isa. Calculate the feed rates (standard cubic meters persecond) of the SO, and air feed streams and the extentof reaction, §.2b. Calculate the standard heat of the SO, oxidationreaction, AH; (kJ). Then, taking molecular species at25°C as references, prepare and fill in an inlet-outletenthalpy table and write an energy balance to calculatethe necessary rate of heat transfer (kW) from thereactor to the cooling water.c. Calculate the minimum flow rate of the cooling waterif its temperature rise is to be kept below 15°C.d. Briefly state what would have been different in yourcalculations and results if you had taken elementalspecies as references in Part (b).

Simple flow diagram of problem is Find a) Feed rates (m3/s) of SO2 Feed rates (m3/s) of air feed stream Extent of reaction,ξ b) Standard heat of reaction of SO2 ,∆Hr°(kJ) Rate of heat transfer from reactor to cooling tower,Q(kW) c)Minimum flow rate of water,mw d)Discuss on taking of elemental species as references Simple diagram for given problem is Reaction is SO2g()+1/2O2(g)→SO3(g) M.W of SO3=80.07g/mol According to reaction 1 mol of SO3 produced from 1 mole of SO2 Conversion=65% Air is in excess-100% 1 mole of SO2 need (1/2 mole)mole of O2 N2 balance There is 65% conversion, then remaining SO2 will be O-balance Extent of reaction Feed rates in standard cubic meter per secondb) Standard heat of reaction of SO2 is All data in the form of table is Substance nin (mol/min) Hin(kJ/mol) nout (mol/min) Hout(kJ/mol) SO2 1922 H1 673 H4 O2 1922 H2 1298 H5 N2 7227 H3 7227 H6 SO3 - - 1249 H7 In(at 450℃) Out (at 550℃) Fill the table with the remaining ones Substance nin (mol/min) Hin(kJ/mol) nout (mol/min) Hout(kJ/mol) SO2 1922 H1=19.62 673 H4=24.79 O2 1922 H2=13.36 1298 H5=16.71 N2 7227 H3=12.69 7227 H6=15.81 SO3 - - 1249 H7=35.34 Rate of heat transfer from reactor to cooling tower c)Let system is adiabatic, then d)If we are taking elemental species, then heat of formation of each molecular species have to be taken in consideration in enthalpy calculation and then there will be no need of heat of reaction in calculation of ∆H.ANSWER a) Feed rates (m3/s) of SO2,V0=0.7175m3/s Feed rates (m3/s) of air feed streamV1=3.417m3/s Extent of reaction,ξ=1249mol/min b) Standard heat of reaction of SO2 ,∆Hr°(kJ)=(-98.28)kJ/mol Rate of heat transfer from reactor to cooling tower,Q=(-1351.302)kW c)Minimum flow rate of water,mw =1293.112kg/min