Consider a reversible elementary aqueous reaction: A R. It is fo- und that the reaction...

  

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Consider a reversible elementary aqueous reaction: A → R. It is fo- und that the reaction has the standard Gibbs free energy (AG) of - 4406 J/mol and standard enthalpy of reaction (AHr°) of - 41570 J/mol at 25°C. The specific heats (cp )of both A and R are constant over wide range of temperature and the specific heats (cp) of A and R is 1000 J/mol°C. Note that this is 1st oder reversible reaction and the given initial conditions are: CA0=1 mol/L and CR0=0 mol/L in the feed stream and and FA0=100 mol/min. a) Sketch the equilibrium conversion vs. temperature curve of the re- action between 0°C and 100°C. What restrictions should be placed on the reactor operating isothermally if we are to obtain a conversion of % 50 or higher? b) In kinetic experiment in an isothermal batch reactor, the reaction took 1 min to get 20% conversion at 80°C. The reaction time became 16 min at 20°C to get the same conversion in the same batch reactor. Assuming an Arrhenius temperature dependency of the rate cons- tants, find the reaction rate expression as a function of temperature c)Prepare the conversion-temperature chart with reaction rate as pa- rameter(Reaction rate: (-rA=0.001); (-rA=0.005); (-rA=0.01); (- rA=0.02); (-rA=0.05); (-rA=0.1)) d) Sketch the optimal temperature progression for the plug flow re- actor. Calculate the volume needed for 75% conversion. Let the maxi- mum allowable temperature be 80°C e) You are to run the reaction in an adiabatic plug flow reactor. Due to the limited budget, the allowable operating temperature ranges from 0°C to 40°C. Calculate the volume of the plug flow reactor to get 60% conversion. f) You are to run the reaction in an adiabatic mixed flow reactor with CA0=1 mol/L and FA0=100 mol/min. Find the minimum volume of the reactor to get 60% conversion. g) Suppose that the feed solution is at 40°C. How much of heat do we need to remove from the mixed flow reactor if we operate the reactor under the conditions described in (f) Consider a reversible elementary aqueous reaction: A → R. It is fo- und that the reaction has the standard Gibbs free energy (AG) of - 4406 J/mol and standard enthalpy of reaction (AHr°) of - 41570 J/mol at 25°C. The specific heats (cp )of both A and R are constant over wide range of temperature and the specific heats (cp) of A and R is 1000 J/mol°C. Note that this is 1st oder reversible reaction and the given initial conditions are: CA0=1 mol/L and CR0=0 mol/L in the feed stream and and FA0=100 mol/min. a) Sketch the equilibrium conversion vs. temperature curve of the re- action between 0°C and 100°C. What restrictions should be placed on the reactor operating isothermally if we are to obtain a conversion of % 50 or higher? b) In kinetic experiment in an isothermal batch reactor, the reaction took 1 min to get 20% conversion at 80°C. The reaction time became 16 min at 20°C to get the same conversion in the same batch reactor. Assuming an Arrhenius temperature dependency of the rate cons- tants, find the reaction rate expression as a function of temperature c)Prepare the conversion-temperature chart with reaction rate as pa- rameter(Reaction rate: (-rA=0.001); (-rA=0.005); (-rA=0.01); (- rA=0.02); (-rA=0.05); (-rA=0.1)) d) Sketch the optimal temperature progression for the plug flow re- actor. Calculate the volume needed for 75% conversion. Let the maxi- mum allowable temperature be 80°C e) You are to run the reaction in an adiabatic plug flow reactor. Due to the limited budget, the allowable operating temperature ranges from 0°C to 40°C. Calculate the volume of the plug flow reactor to get 60% conversion. f) You are to run the reaction in an adiabatic mixed flow reactor with CA0=1 mol/L and FA0=100 mol/min. Find the minimum volume of the reactor to get 60% conversion. g) Suppose that the feed solution is at 40°C. How much of heat do we need to remove from the mixed flow reactor if we operate the reactor under the conditions described in (f)

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ANSWER Given that heat of reaction and gibbs free energy at 298K temperature 1 Equi... View the full answer