(a) Why would it be important to feed the reactants in stoichiometric proportion? (what are several likely reasons for wanting to automate the SO2 feed rate adjustment?(b) If the first stream contains 85.0 mole% H2S and enters the unit at a rate of nf = 3.00 x l02 k mol/h what must the value of nc (k mol S02/h) be?(c) Fit a function to the H2S analyzer calibration data to derive an expression for x as a function of Ra. Check the fit by plotting both the function and the calibration data on the same graph.(d) Derive a formula for R( from specified values of Rt and Ra using the result of part (c) in the derivation. (This formula would be built into the controller.) Test the formula using the flow rate and composition data of part (a).(e) The system has been installed and made operational and at some point the concentration of H2S in the feed stream suddenly changes. A sample of the blended gas is collected and analyzed a short time later and the mole ratio of H2S to SO2 is not the required 2:1. List as many possible reasons as you can think of for this apparent failure of the controlsystem

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