SOLVE USING THE MOST EASIEST METHOD. HANDWRITTEN Aqueous reactant A is converted to product at the following rates in the presence of a homogeneous catalyst of given concentration, and Ca alone influences this rate: CA, mol/liter 1 2 4 6 7 9 12 -rA, mole/liter 0.06 0.1 0.25 1.0 2.0 1.0 0.5 We want to conduct this reaction in a batch reactor with the same catalyst concentration as the data above. Calculate the amount of time it will take to reduce the concentration of A from CaO = 10 mol/liter to CAf=2 mol/liter.

Direct dehydrogenation of ethylbenzene to styrene is carried out in the vapor phase with steam over a catalyst consisting primarily of iron oxide. The reaction is endothermic, and can be accomplished either adiabatically or isothermally. Both methods are used in practice. The major reaction is the reversible, endothermic conversion of ethylbenzene to styrene and hydrogen: C6H3CH₂CH CoHsCHCH₂ + H₂ AH= 124.9 kJ/mol Competing thermal reactions degrade ethylbenzene to benzene C6H3CH₂CH3C6H6+ C₂H4 AH 101.8 kJ/mol Styrene also reacts catalytically to toluene: CH3CH₂CH3 + H2 CH3CH3 + CH4 AH=64.5 kJ/mol The reactions take place at 620°C. The costs are as shown in Table 1. The production rate of styrene is 200 mol/h. Chemical name Formula Cost (S/kmol) Ethylbenzene C6H5CH₂CH3 57.1 Styrene C.HSCHCH₂ 75.9 Benzene C6H6 32.8 Toluene C6H5CH3 25.8 Hydrogen H₂ 1.2 (as fuel) Methane CH4 4.0 (as fuel) Ethylene C₂H4 6.7 (as fuel) Correlation for the product selectivity and distribution are given as…

Product B is produced in a batch reactor according to the elemental reversible reaction (A⇋B) in liquid phase. The reactor volume is 10 L and the reaction temperature is 60°C. The initial concentration of reagent A is 3 lbmol/L, the rate constant for the forward reaction is k1=6.0 h-1, and the rate constant for the reverse reaction is k2=0.53h-1. Determine: (a) Plot the concentration of each species as a function of reaction time(b) Plot the conversion as a function of reaction time

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