Reactant Conversion in Varying Volume Batch Reactor Calculator

✖Volume in Varying Volume Batch Reactor is the amount of space that a reactor occupies at given time when volume is varying.ⓘ Volume in Varying Volume Batch Reactor [V]			+10% -10%
✖Initial reactor volume is the volume of the reactor before the initiation of the reaction.ⓘ Initial Reactor Volume [V₀]			+10% -10%
✖Fractional Volume Change is the ratio of the change in volume and the initial volume.ⓘ Fractional Volume Change [ε]			+10% -10%

✖Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion in Varying Volume Batch Reactor [X_A]

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Formula

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Reactant Conversion in Varying Volume Batch Reactor

Formula

X A = \frac{V - V 0}{ε \cdot V 0}

Example

0.904977 = \frac{15 m³ - 13 m³}{0.17 \cdot 13 m³}

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Reactant Conversion in Varying Volume Batch Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactant Conversion = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Fractional Volume Change*Initial Reactor Volume)
X_A = (V-V₀)/(ε*V₀)
This formula uses 4 Variables

Variables Used

Reactant Conversion - Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
Volume in Varying Volume Batch Reactor - (Measured in Cubic Meter) - Volume in Varying Volume Batch Reactor is the amount of space that a reactor occupies at given time when volume is varying.
Initial Reactor Volume - (Measured in Cubic Meter) - Initial reactor volume is the volume of the reactor before the initiation of the reaction.
Fractional Volume Change - Fractional Volume Change is the ratio of the change in volume and the initial volume.

STEP 1: Convert Input(s) to Base Unit

Volume in Varying Volume Batch Reactor: 15 Cubic Meter --> 15 Cubic Meter No Conversion Required
Initial Reactor Volume: 13 Cubic Meter --> 13 Cubic Meter No Conversion Required
Fractional Volume Change: 0.17 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_A = (V-V₀)/(ε*V₀) --> (15-13)/(0.17*13)

Evaluating ... ...

X_A = 0.904977375565611

STEP 3: Convert Result to Output's Unit

0.904977375565611 --> No Conversion Required

FINAL ANSWER

0.904977375565611 ≈ 0.904977 <-- Reactant Conversion

(Calculation completed in 00.004 seconds)

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< Varying Volume Batch Reactor Calculators

Fractional Volume Change in Varying Volume Batch Reactor

Go Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Reactant Conversion*Initial Reactor Volume)

Reactant Conversion in Varying Volume Batch Reactor

Go Reactant Conversion = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Fractional Volume Change*Initial Reactor Volume)

Initial Reactor Volume in Varying Volume Batch Reactor

Go Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change*Reactant Conversion)

Volume in Varying Volume Batch Reactor

Go Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change*Reactant Conversion)

< Important Formulas in Constant and Variable Volume Batch Reactor Calculators

Number of Moles of Reactant Fed to Constant Volume Batch Reactor

Go Number of Moles of Reactant-A Fed = Volume of Solution*(Concentration of Reactant A+(Stoichiometric Coefficient of Reactant/Net Stoichiometric Coefficient)*((Total Number of Moles-Total Number of Moles Initially)/Volume of Solution))

Initial Partial Pressure of Reactant in Constant Volume Batch Reactor

Go Initial Partial Pressure of Reactant A = Partial Pressure of Reactant A+(Stoichiometric Coefficient of Reactant/Net Stoichiometric Coefficient)*(Total Pressure-Initial Total Pressure)

Initial Partial Pressure of Product in Constant Volume Batch Reactor

Go Initial Partial Pressure of Product R = Partial Pressure of Product R-(Stoichiometric Coefficient of Product/Net Stoichiometric Coefficient)*(Total Pressure-Initial Total Pressure)

Net Partial Pressure in Constant Volume Batch Reactor

Go Net Partial Pressure = Reaction Rate*[R]*Temperature*Time Interval

Reactant Conversion in Varying Volume Batch Reactor Formula

Reactant Conversion = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Fractional Volume Change*Initial Reactor Volume)
X_A = (V-V₀)/(ε*V₀)

What is variable volume operation?

Variable-volume operation is a process which uses periodic feed and discharge flow rates as the driving force to cause a periodically varying volume and in turn, a periodic residence time. The resulting concentration and temperature variations in the reactor are also periodic functions of time.

How to Calculate Reactant Conversion in Varying Volume Batch Reactor?

Reactant Conversion in Varying Volume Batch Reactor calculator uses Reactant Conversion = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Fractional Volume Change*Initial Reactor Volume) to calculate the Reactant Conversion, The Reactant Conversion in Varying Volume Batch Reactor formula is defined as the disappearance of reactants during reaction.Conversion is defined only for the Reactants not for products. It is a basic term in a Chemical kinetics and plays a vital role in the Chemical Reaction Engineering. Reactant Conversion is denoted by X_A symbol.

How to calculate Reactant Conversion in Varying Volume Batch Reactor using this online calculator? To use this online calculator for Reactant Conversion in Varying Volume Batch Reactor, enter Volume in Varying Volume Batch Reactor (V), Initial Reactor Volume (V₀) & Fractional Volume Change (ε) and hit the calculate button. Here is how the Reactant Conversion in Varying Volume Batch Reactor calculation can be explained with given input values -> 1.025641 = (15-13)/(0.17*13).

FAQ

What is Reactant Conversion in Varying Volume Batch Reactor?

The Reactant Conversion in Varying Volume Batch Reactor formula is defined as the disappearance of reactants during reaction.Conversion is defined only for the Reactants not for products. It is a basic term in a Chemical kinetics and plays a vital role in the Chemical Reaction Engineering and is represented as X_A = (V-V₀)/(ε*V₀) or Reactant Conversion = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Fractional Volume Change*Initial Reactor Volume). Volume in Varying Volume Batch Reactor is the amount of space that a reactor occupies at given time when volume is varying, Initial reactor volume is the volume of the reactor before the initiation of the reaction & Fractional Volume Change is the ratio of the change in volume and the initial volume.

How to calculate Reactant Conversion in Varying Volume Batch Reactor?

The Reactant Conversion in Varying Volume Batch Reactor formula is defined as the disappearance of reactants during reaction.Conversion is defined only for the Reactants not for products. It is a basic term in a Chemical kinetics and plays a vital role in the Chemical Reaction Engineering is calculated using Reactant Conversion = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Fractional Volume Change*Initial Reactor Volume). To calculate Reactant Conversion in Varying Volume Batch Reactor, you need Volume in Varying Volume Batch Reactor (V), Initial Reactor Volume (V₀) & Fractional Volume Change (ε). With our tool, you need to enter the respective value for Volume in Varying Volume Batch Reactor, Initial Reactor Volume & Fractional Volume Change and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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