Reaction Kinetics, batch reactor varying volume

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SUMMARY

The discussion focuses on the challenges of calculating reaction kinetics in a batch reactor with varying volume. The user has determined the conversion of reactant A to be X=0.21 and is attempting to calculate the time required for the reaction using the equation dCa/dt=Ra, where Ra represents the reaction rate. The user expresses uncertainty regarding the constancy of Ra due to changes in volume and concentration throughout the reaction process. Key questions include whether Ra can be assumed constant and how total molar density in the reactor changes as the reaction progresses.

PREREQUISITES
  • Understanding of reaction kinetics and rate laws
  • Familiarity with batch reactor dynamics
  • Knowledge of integration techniques in chemical engineering
  • Concept of molar density and its implications in reaction systems
NEXT STEPS
  • Study the impact of volume changes on reaction rates in batch reactors
  • Learn about the integration of rate equations in non-constant volume systems
  • Research methods for calculating total molar density during reactions
  • Explore advanced topics in reaction kinetics, such as variable reaction rates
USEFUL FOR

Chemical engineers, process engineers, and students studying reaction kinetics in batch reactors will benefit from this discussion.

MatStrat
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NO TEMPLATE BECAUSE THREAD WAS ORIGINALLY ENTERED INTO WRONG FORUM

Hi Guys,

I have attached the question that I am struggling with (part b of the question)

I have worked out that the conversion of A is X=0.21

Using this conversion I'm trying to work out the time required for the reaction

I am trying to use this equation: dCa/dt=Ra
where Ra is the reaction rate
but if i integrate the reaction rate i can't assume its constant due to volume and concentration changes so I'm in a bit of a dilemma.

Can you guys let me know if my reasoning is wrong, or if Ra is constant
 

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What is the total molar density in the reactor? Does this change as the reaction proceeds?
 

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