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)/(XA*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)/(XA*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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7 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)
Fractional Volume Change at Complete Conversion in Varying Volume Batch Reactor
Go Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/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)
Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor
Go Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change)
Volume at Complete Conversion in Varying Volume Batch Reactor
Go Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change)

17 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))
Reactant Concentration in Constant Volume Batch Reactor
Go Concentration of Reactant A = (Number of Moles of Reactant-A Fed/Volume of Solution)-(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)
Partial Pressure of Reactant in Constant Volume Batch Reactor
Go Partial Pressure of Reactant A = Initial 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)
Partial Pressure of Product in Constant Volume Batch Reactor
Go Partial Pressure of Product R = Initial Partial Pressure of Product R+(Stoichiometric Coefficient of Product/Net Stoichiometric Coefficient)*(Total Pressure-Initial Total Pressure)
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)
Fractional Volume Change at Complete Conversion in Varying Volume Batch Reactor
Go Fractional Volume Change = (Volume in Varying Volume Batch Reactor-Initial Reactor Volume)/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)
Net Partial Pressure in Constant Volume Batch Reactor
Go Net Partial Pressure = Reaction Rate*[R]*Temperature*Time Interval
Reaction Rate in Constant Volume Batch Reactor
Go Reaction Rate = Net Partial Pressure/([R]*Temperature*Time Interval)
Temperature in Constant Volume Batch Reactor
Go Temperature = Net Partial Pressure/([R]*Reaction Rate*Time Interval)
Number of Moles of Unreacted Reactant in Constant Volume Batch Reactor
Go Number of Moles of Unreacted Reactant-A = Number of Moles of Reactant-A Fed*(1-Reactant Conversion)
Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor
Go Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change)
Volume at Complete Conversion in Varying Volume Batch Reactor
Go Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change)

Fractional Volume Change in Varying Volume Batch Reactor Formula

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