The following reversible reaction is carried out in a batch reactor and the reaction in both directions is of the first order. Initially, the concentration of A component (CA) is 0.5 mol/L and there is no R component. The equilibrium conversion rate of this reaction is 66.7% and in the reaction 33.3% of A is transformed after 8 minutes. Propose an appropriate reaction rate expression. AR CAO = 0.5 mol/L

Answers

Answer 1

The appropriate reaction rate expression is Rate forward = k1 ˣ CA and Rate reverse = k2ˣ CR, where k1 and k2 are the rate constants and CA and CR are the concentrations of component A and R, respectively.

What is an appropriate reaction rate expression for the given reversible reaction in a batch reactor with first-order kinetics?

In the given scenario, a reversible reaction is taking place in a batch reactor. The reaction is of first order in both directions. The initial concentration of component A (CA) is 0.5 mol/L, and there is no component R initially.

The equilibrium conversion rate of the reaction is 66.7%, which means that 66.7% of component A will be transformed into component R at equilibrium.

After 8 minutes, the reaction has reached a conversion rate of 33.3%, which indicates that 33.3% of component A has been transformed into component R within this time period.

Based on this information, we can propose that the reaction rate expression follows first-order kinetics, where the rate of the forward reaction is proportional to the concentration of component A and the rate of the reverse reaction is proportional to the concentration of component R.

Therefore, an appropriate reaction rate expression for this reversible reaction can be written as:

Rate forward = k1 ˣ CA

Rate reverse = k2 ˣ CR

Where k1 and k2 are the rate constants for the forward and reverse reactions, respectively, and CA and CR are the concentrations of component A and R, respectively.

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Related Questions

The Stairmand HR cyclone is used to purify the surrounding air (density 1.2 kg/m^3 and viscosity 18.5x10^-6 Pa's) 2.5 m^3/s loaded with dust having a particle density of 2600 kg/m^3. The possible pressure drop is 1200 Pa and the required separation particle size should not be greater than 6 μm.
(a) What size cyclone do you need?
(b) How many cyclones are needed in what arrangement?
(c) What is the actual separation grain size achieved?

Answers

In order to determine the appropriate size of the HR cyclone, several factors need to be considered, include the density and viscosity of the surrounding air, airflow rate, dust particle density, maximum allowable pressure drop, and desired separation particle size.

What factors need to be considered when determining the size of the Stairmand HR cyclone for air purification?

The Stairmand HR cyclone is a device used for air purification. In order to determine the appropriate size of the cyclone, several factors need to be considered. The density and viscosity of the surrounding air are given as 1.2 kg/m^3 and 18.5x10^-6 Pa's, respectively.

The airflow rate is specified as 2.5 m^3/s, and the dust particles have a density of 2600 kg/m^3. The maximum allowable pressure drop is 1200 Pa, and the desired separation particle size should not exceed 6 μm.

To calculate the required size of the cyclone, various design parameters such as the cyclone diameter, height, and inlet/outlet dimensions need to be determined based on the given conditions and desired separation efficiency. The design process involves analyzing the airflow, particle dynamics, and pressure drop within the cyclone.

Once the size of the cyclone is determined, the number of cyclones required and their arrangement can be determined based on factors such as the total airflow rate, desired separation efficiency, and space constraints. The arrangement can be parallel, series, or a combination of both, depending on the specific requirements.

The actual separation grain size achieved can be evaluated by analyzing the cyclone's performance under operating conditions. This involves measuring the particle size distribution of the separated particles and comparing it with the desired separation particle size of 6 μm. Adjustments to the cyclone's design or operational parameters may be necessary to achieve the desired separation efficiency.

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