Volume in Varying Volume Batch Reactor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change*Reactant Conversion)
V = V0*(1+ε*XA)
This formula uses 4 Variables
Variables Used
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.
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
Initial Reactor Volume: 13 Cubic Meter --> 13 Cubic Meter No Conversion Required
Fractional Volume Change: 0.17 --> No Conversion Required
Reactant Conversion: 0.8 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = V0*(1+ε*XA) --> 13*(1+0.17*0.8)
Evaluating ... ...
V = 14.768
STEP 3: Convert Result to Output's Unit
14.768 Cubic Meter --> No Conversion Required
FINAL ANSWER
14.768 Cubic Meter <-- Volume in Varying Volume Batch Reactor
(Calculation completed in 00.013 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

Volume in Varying Volume Batch Reactor Formula

​LaTeX ​Go
Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change*Reactant Conversion)
V = V0*(1+ε*XA)

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 Volume in Varying Volume Batch Reactor?

Volume in Varying Volume Batch Reactor calculator uses Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change*Reactant Conversion) to calculate the Volume in Varying Volume Batch Reactor, The Volume in Varying Volume Batch Reactor formula is defined as the amount of space that a reactant occupies or that is enclosed within a varying volume batch reactor. Volume in Varying Volume Batch Reactor is denoted by V symbol.

How to calculate Volume in Varying Volume Batch Reactor using this online calculator? To use this online calculator for Volume in Varying Volume Batch Reactor, enter Initial Reactor Volume (V0), Fractional Volume Change (ε) & Reactant Conversion (XA) and hit the calculate button. Here is how the Volume in Varying Volume Batch Reactor calculation can be explained with given input values -> 14.56 = 13*(1+0.17*0.8).

FAQ

What is Volume in Varying Volume Batch Reactor?
The Volume in Varying Volume Batch Reactor formula is defined as the amount of space that a reactant occupies or that is enclosed within a varying volume batch reactor and is represented as V = V0*(1+ε*XA) or Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change*Reactant Conversion). 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 & Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
How to calculate Volume in Varying Volume Batch Reactor?
The Volume in Varying Volume Batch Reactor formula is defined as the amount of space that a reactant occupies or that is enclosed within a varying volume batch reactor is calculated using Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change*Reactant Conversion). To calculate Volume in Varying Volume Batch Reactor, you need Initial Reactor Volume (V0), Fractional Volume Change (ε) & Reactant Conversion (XA). With our tool, you need to enter the respective value for Initial Reactor Volume, Fractional Volume Change & 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 Volume in Varying Volume Batch Reactor?
In this formula, Volume in Varying Volume Batch Reactor uses Initial Reactor Volume, Fractional Volume Change & Reactant Conversion. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change)
  • Volume in Varying Volume Batch Reactor = Initial Reactor Volume*(1+Fractional Volume Change)
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