Initial Reactant Concentration using Reactant Conversion with Varying Density Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
IntialConc = ((C)*(1+ε*XA))/(1-XA)
This formula uses 4 Variables
Variables Used
Initial Reactant Conc with Varying Density - (Measured in Mole per Cubic Meter) - Initial Reactant Conc with Varying Density refers to the amount of reactant present in the solvent before the considered process.
Reactant Concentration - (Measured in Mole per Cubic Meter) - The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.
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
Reactant Concentration: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required
Fractional Volume Change: 0.21 --> No Conversion Required
Reactant Conversion: 0.7 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
IntialConc = ((C)*(1+ε*XA))/(1-XA) --> ((24)*(1+0.21*0.7))/(1-0.7)
Evaluating ... ...
IntialConc = 91.76
STEP 3: Convert Result to Output's Unit
91.76 Mole per Cubic Meter --> No Conversion Required
FINAL ANSWER
91.76 Mole per Cubic Meter <-- Initial Reactant Conc with Varying Density
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by akhilesh
K. K. Wagh Institute of Engineering Education and Research (K.K.W.I.E.E.R.), Nashik
akhilesh has created this Calculator and 200+ more calculators!
Verifier Image
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

9 Introduction to Reactor Design Calculators

Key Reactant Conversion with Varying Density,Temperature and Total Pressure
​ Go Key-Reactant Conversion = (1-((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))/(1+Fractional Volume Change*((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))
Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure
​ Go Initial Key-Reactant Concentration = Key-Reactant Concentration*((1+Fractional Volume Change*Key-Reactant Conversion)/(1-Key-Reactant Conversion))*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))
Key Reactant Concentration with Varying Density,Temperature and Total Pressure
​ Go Key-Reactant Concentration = Initial Key-Reactant Concentration*((1-Key-Reactant Conversion)/(1+Fractional Volume Change*Key-Reactant Conversion))*((Initial Temperature*Total Pressure)/(Temperature*Initial Total Pressure))
Reactant Concentration using Reactant Conversion with Varying Density
​ Go Reactant Concentration with Varying Density = ((1-Reactant Conversion with Varying Density)*(Initial Reactant Concentration))/(1+Fractional Volume Change*Reactant Conversion with Varying Density)
Initial Reactant Conversion using Reactant Concentration with Varying Density
​ Go Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
Initial Reactant Concentration using Reactant Conversion with Varying Density
​ Go Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
Initial Reactant Concentration using Reactant Conversion
​ Go Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)
Reactant Concentration using Reactant Conversion
​ Go Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
​ Go Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)

20 Basics of Reactor Design and Temperature Dependency from Arrhenius Law Calculators

Key Reactant Conversion with Varying Density,Temperature and Total Pressure
​ Go Key-Reactant Conversion = (1-((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))/(1+Fractional Volume Change*((Key-Reactant Concentration/Initial Key-Reactant Concentration)*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))))
Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure
​ Go Initial Key-Reactant Concentration = Key-Reactant Concentration*((1+Fractional Volume Change*Key-Reactant Conversion)/(1-Key-Reactant Conversion))*((Temperature*Initial Total Pressure)/(Initial Temperature*Total Pressure))
Key Reactant Concentration with Varying Density,Temperature and Total Pressure
​ Go Key-Reactant Concentration = Initial Key-Reactant Concentration*((1-Key-Reactant Conversion)/(1+Fractional Volume Change*Key-Reactant Conversion))*((Initial Temperature*Total Pressure)/(Temperature*Initial Total Pressure))
Activation Energy using Rate Constant at Two Different Temperatures
​ Go Activation Energy Rate Constant = [R]*ln(Rate Constant at Temperature 2/Rate Constant at Temperature 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Activation Energy using Reaction Rate at Two Different Temperatures
​ Go Activation Energy = [R]*ln(Reaction Rate 2/Reaction Rate 1)*Reaction 1 Temperature*Reaction 2 Temperature/(Reaction 2 Temperature-Reaction 1 Temperature)
Temperature in Arrhenius Equation for First Order Reaction
​ Go Temperature in Arrhenius Eq for 1st Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 1st Order/Rate Constant for First Order Reaction)))
Temperature in Arrhenius Equation for Zero Order Reaction
​ Go Temperature in Arrhenius Eq Zero Order Reaction = modulus(Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for Zero Order/Rate Constant for Zero Order Reaction)))
Temperature in Arrhenius Equation for Second Order Reaction
​ Go Temperature in Arrhenius Eq for 2nd Order Reaction = Activation Energy/[R]*(ln(Frequency Factor from Arrhenius Eqn for 2nd Order/Rate Constant for Second Order Reaction))
Reactant Concentration using Reactant Conversion with Varying Density
​ Go Reactant Concentration with Varying Density = ((1-Reactant Conversion with Varying Density)*(Initial Reactant Concentration))/(1+Fractional Volume Change*Reactant Conversion with Varying Density)
Rate Constant for Second Order Reaction from Arrhenius Equation
​ Go Rate Constant for Second Order Reaction = Frequency Factor from Arrhenius Eqn for 2nd Order*exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Arrhenius Constant for Second Order Reaction
​ Go Frequency Factor from Arrhenius Eqn for 2nd Order = Rate Constant for Second Order Reaction/exp(-Activation Energy/([R]*Temperature for Second Order Reaction))
Rate Constant for First Order Reaction from Arrhenius Equation
​ Go Rate Constant for First Order Reaction = Frequency Factor from Arrhenius Eqn for 1st Order*exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Arrhenius Constant for First Order Reaction
​ Go Frequency Factor from Arrhenius Eqn for 1st Order = Rate Constant for First Order Reaction/exp(-Activation Energy/([R]*Temperature for First Order Reaction))
Initial Reactant Conversion using Reactant Concentration with Varying Density
​ Go Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
Rate Constant for Zero Order Reaction from Arrhenius Equation
​ Go Rate Constant for Zero Order Reaction = Frequency Factor from Arrhenius Eqn for Zero Order*exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Arrhenius Constant for Zero Order Reaction
​ Go Frequency Factor from Arrhenius Eqn for Zero Order = Rate Constant for Zero Order Reaction/exp(-Activation Energy/([R]*Temperature for Zero Order Reaction))
Initial Reactant Concentration using Reactant Conversion with Varying Density
​ Go Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
Initial Reactant Concentration using Reactant Conversion
​ Go Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)
Reactant Concentration using Reactant Conversion
​ Go Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
​ Go Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)

Initial Reactant Concentration using Reactant Conversion with Varying Density Formula

Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
IntialConc = ((C)*(1+ε*XA))/(1-XA)

What are the factors to be considered for reactor design?

The different factors required for reactor design are (i) Size of reactor (ii) Type of reactor (iii) Time or duration of reaction (iv) Temperature & Composition of reacting material in the reactor (v) Heat removal or added and (vi) Flow pattern of fluid in the reactor.

How to Calculate Initial Reactant Concentration using Reactant Conversion with Varying Density?

Initial Reactant Concentration using Reactant Conversion with Varying Density calculator uses Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion) to calculate the Initial Reactant Conc with Varying Density, The Initial Reactant Concentration using Reactant Conversion with Varying Density formula is defined as the concentration of reactant initially where density is changing and temperature and total pressure are constant in both batch and flow system. Initial Reactant Conc with Varying Density is denoted by IntialConc symbol.

How to calculate Initial Reactant Concentration using Reactant Conversion with Varying Density using this online calculator? To use this online calculator for Initial Reactant Concentration using Reactant Conversion with Varying Density, enter Reactant Concentration (C), Fractional Volume Change (ε) & Reactant Conversion (XA) and hit the calculate button. Here is how the Initial Reactant Concentration using Reactant Conversion with Varying Density calculation can be explained with given input values -> 91.76 = ((24)*(1+0.21*0.7))/(1-0.7).

FAQ

What is Initial Reactant Concentration using Reactant Conversion with Varying Density?
The Initial Reactant Concentration using Reactant Conversion with Varying Density formula is defined as the concentration of reactant initially where density is changing and temperature and total pressure are constant in both batch and flow system and is represented as IntialConc = ((C)*(1+ε*XA))/(1-XA) or Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion). The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process, 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 Initial Reactant Concentration using Reactant Conversion with Varying Density?
The Initial Reactant Concentration using Reactant Conversion with Varying Density formula is defined as the concentration of reactant initially where density is changing and temperature and total pressure are constant in both batch and flow system is calculated using Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion). To calculate Initial Reactant Concentration using Reactant Conversion with Varying Density, you need Reactant Concentration (C), Fractional Volume Change (ε) & Reactant Conversion (XA). With our tool, you need to enter the respective value for Reactant Concentration, 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!