Fractional Volume Change 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%
✖Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion [X_A]			+10% -10%

✖Fractional Volume Change is the ratio of the change in volume and the initial volume.ⓘ Fractional Volume Change in Varying Volume Batch Reactor [ε]

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Fractional Volume Change in Varying Volume Batch Reactor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Fractional Volume Change - Fractional Volume Change is the ratio of the change in volume and the initial volume.
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.
Reactant Conversion - Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.

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
Reactant Conversion: 0.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = (V-V₀)/(X_A*V₀) --> (15-13)/(0.8*13)

Evaluating ... ...

ε = 0.192307692307692

STEP 3: Convert Result to Output's Unit

0.192307692307692 --> No Conversion Required

FINAL ANSWER

0.192307692307692 ≈ 0.192308 <-- Fractional Volume Change

(Calculation completed in 00.004 seconds)

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< Varying Volume Batch Reactor Calculators

Fractional Volume Change in Varying Volume Batch Reactor

LaTeX 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

LaTeX 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

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

Volume in Varying Volume Batch Reactor

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX 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

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

Fractional Volume Change in Varying Volume Batch Reactor Formula

LaTeX Go

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

Fractional Volume Change in Varying Volume Batch Reactor calculator uses Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Reactant Conversion*Initial Reactor Volume) to calculate the Fractional Volume Change, The Fractional Volume Change in Varying Volume Batch Reactor formula is defined as the expression of change in volume in terms of dimensionless quantity in varying volume batch reactor. Fractional Volume Change is denoted by ε symbol.

How to calculate Fractional Volume Change in Varying Volume Batch Reactor using this online calculator? To use this online calculator for Fractional Volume Change in Varying Volume Batch Reactor, enter Volume in Varying Volume Batch Reactor (V), Initial Reactor Volume (V₀) & Reactant Conversion (X_A) and hit the calculate button. Here is how the Fractional Volume Change in Varying Volume Batch Reactor calculation can be explained with given input values -> 0.192308 = (15-13)/(0.8*13).

FAQ

What is Fractional Volume Change in Varying Volume Batch Reactor?

The Fractional Volume Change in Varying Volume Batch Reactor formula is defined as the expression of change in volume in terms of dimensionless quantity in varying volume batch reactor and is represented as ε = (V-V₀)/(X_A*V₀) or Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Reactant Conversion*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 & Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.

How to calculate Fractional Volume Change in Varying Volume Batch Reactor?

The Fractional Volume Change in Varying Volume Batch Reactor formula is defined as the expression of change in volume in terms of dimensionless quantity in varying volume batch reactor is calculated using Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/(Reactant Conversion*Initial Reactor Volume). To calculate Fractional Volume Change in Varying Volume Batch Reactor, you need Volume in Varying Volume Batch Reactor (V), Initial Reactor Volume (V₀) & Reactant Conversion (X_A). With our tool, you need to enter the respective value for Volume in Varying Volume Batch Reactor, Initial Reactor Volume & Reactant Conversion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Fractional Volume Change?

In this formula, Fractional Volume Change uses Volume in Varying Volume Batch Reactor, Initial Reactor Volume & Reactant Conversion. We can use 2 other way(s) to calculate the same, which is/are as follows -

Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/Initial Reactor Volume
Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/Initial Reactor Volume

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