Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change)
V0 = V/(1+ε)
This formula uses 3 Variables
Variables Used
Initial Reactor Volume - (Measured in Cubic Meter) - Initial reactor volume is the volume of the reactor before the initiation of the reaction.
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.
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
Fractional Volume Change: 0.17 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V0 = V/(1+ε) --> 15/(1+0.17)
Evaluating ... ...
V0 = 12.8205128205128
STEP 3: Convert Result to Output's Unit
12.8205128205128 Cubic Meter --> No Conversion Required
FINAL ANSWER
12.8205128205128 12.82051 Cubic Meter <-- Initial Reactor Volume
(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)

Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor Formula

Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change)
V0 = V/(1+ε)

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 Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor?

Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor calculator uses Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change) to calculate the Initial Reactor Volume, The Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor formula is defined as the initial volume of variable volume batch reactor in which the reactant undergoes complete conversion. Initial Reactor Volume is denoted by V0 symbol.

How to calculate Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor using this online calculator? To use this online calculator for Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor, enter Volume in Varying Volume Batch Reactor (V) & Fractional Volume Change (ε) and hit the calculate button. Here is how the Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor calculation can be explained with given input values -> 13.04348 = 15/(1+0.17).

FAQ

What is Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor?
The Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor formula is defined as the initial volume of variable volume batch reactor in which the reactant undergoes complete conversion and is represented as V0 = V/(1+ε) or Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change). Volume in Varying Volume Batch Reactor is the amount of space that a reactor occupies at given time when volume is varying & Fractional Volume Change is the ratio of the change in volume and the initial volume.
How to calculate Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor?
The Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor formula is defined as the initial volume of variable volume batch reactor in which the reactant undergoes complete conversion is calculated using Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change). To calculate Initial Reactor Volume at Complete Conversion in Varying Volume Batch Reactor, you need Volume in Varying Volume Batch Reactor (V) & Fractional Volume Change (ε). With our tool, you need to enter the respective value for Volume in Varying Volume Batch Reactor & Fractional Volume Change 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 Initial Reactor Volume?
In this formula, Initial Reactor Volume uses Volume in Varying Volume Batch Reactor & Fractional Volume Change. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change*Reactant Conversion)
  • Initial Reactor Volume = Volume in Varying Volume Batch Reactor/(1+Fractional Volume Change*Reactant Conversion)
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