Let's consider a simple example where we have a reactive distillation column operating to convert reactant A to product B. We'll assume a first-order irreversible reaction with a rate equation of:

Rate = k * [A]

Here's a step-by-step example of how you can calculate the conversion of reactant A in each stage of the column:

1. Define the reactant: Reactant A is being converted to product B in the reactive distillation column.

2. Obtain reaction kinetics: Let's assume that the reaction rate constant (k) is 0.05 min^-1.

3. Set up the mass balance: Consider a specific stage of the reactive distillation column. The mass balance equation for that stage could be written as:

FA_in - FA_out = -rA * V

Where:

FA_in is the molar flow rate of A entering the stage,

FA_out is the molar flow rate of A leaving the stage,

rA is the rate of reaction of A (mol/min),

V is the volume of the stage (L or m^3).

4. Apply the reaction rate equation: Substituting the rate equation into the mass balance equation, we have:

FA_in - FA_out = -k * [A] * V

5. Solve the mass balance equation: Integrate or numerically solve the mass balance equation for each stage of the reactive distillation column, considering the specific conditions and column design. This will provide you with the concentration of A ([A]) at each stage.

6. Consider equilibrium effects: If there are equilibrium reactions occurring alongside the main reaction, incorporate the impact of equilibrium constants or relationships into the calculations. This will help determine the extent of conversion.

7. Evaluate stage conversions: With the concentration of A ([A]) known for each stage, you can calculate the conversion of A at each stage using the formula:

Conversion = (FA_in - FA_out) / FA_in * 100

The conversion is expressed as a percentage and represents the fraction of A that has been converted to B at each stage.

Please note that this is a simplified example for illustrative purposes, and the actual calculations in a real-world scenario may involve additional complexities and considerations. It's important to adapt the calculations to the specific conditions and requirements of your reactive distillation column.

thanks for your kind response. actually the reactant is present in both phase i-e liquid and vapors so which molar flowrate I should pick to calculate the molar flowrate of the reactant ( vapor or liquid flowrate). On each stage I have two concentrations of same component i-e mass fraction in liquid phase and mass fraction in vapor phase. In addition to that the molar flowrate of liquid and vapor are changing with respect to stage. I am performing simulation on aspen plus for reactive distillation please guide.