Initial Reactant Conversion using Reactant Concentration with Varying Density Calculator

✖The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process.ⓘ Initial Reactant Concentration [C_o]			+10% -10%
✖The Reactant Concentration refers to the amount of reactant present in the solvent at any given point of time during the process.ⓘ Reactant Concentration [C]			+10% -10%
✖Fractional Volume Change is the ratio of the change in volume and the initial volume.ⓘ Fractional Volume Change [ε]			+10% -10%

✖Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.ⓘ Initial Reactant Conversion using Reactant Concentration with Varying Density [X_A]

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Initial Reactant Conversion using Reactant Concentration with Varying Density

Formula

`"X"_{"A"} = ("C"_{"o"}-"C")/("C"_{"o"}+"ε"*"C")`

Example

`"0.658514"=("80mol/m³"-"24mol/m³")/("80mol/m³"+"0.21"*"24mol/m³")`

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Download Homogeneous Reactions in Ideal Reactors Formula PDF

Initial Reactant Conversion using Reactant Concentration with Varying Density Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
X_A = (C_o-C)/(C_o+ε*C)
This formula uses 4 Variables

Variables Used

Reactant Conversion - Reactant Conversion gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.
Initial Reactant Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant Concentration 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.

STEP 1: Convert Input(s) to Base Unit

Initial Reactant Concentration: 80 Mole per Cubic Meter --> 80 Mole per Cubic Meter No Conversion Required
Reactant Concentration: 24 Mole per Cubic Meter --> 24 Mole per Cubic Meter No Conversion Required
Fractional Volume Change: 0.21 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_A = (C_o-C)/(C_o+ε*C) --> (80-24)/(80+0.21*24)

Evaluating ... ...

X_A = 0.658513640639699

STEP 3: Convert Result to Output's Unit

0.658513640639699 --> No Conversion Required

FINAL ANSWER

0.658513640639699 ≈ 0.658514 <-- Reactant Conversion

(Calculation completed in 00.004 seconds)

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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)

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Key Reactant Conversion with Varying Density,Temperature and Total Pressure

Initial Key Reactant Concentration with Varying Density,Temperature and Total Pressure

Key Reactant Concentration with Varying Density,Temperature and Total Pressure

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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 Conversion using Reactant Concentration with Varying Density Formula

Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
X_A = (C_o-C)/(C_o+ε*C)

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

Initial Reactant Conversion using Reactant Concentration with Varying Density calculator uses Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration) to calculate the Reactant Conversion, Initial Reactant Conversion using Reactant Concentration with Varying Densityformula is defined as the fraction of reactant converted till the given time where density is changing and temperature and total pressure are constant in both batch and flow system. Reactant Conversion is denoted by X_A symbol.

How to calculate Initial Reactant Conversion using Reactant Concentration with Varying Density using this online calculator? To use this online calculator for Initial Reactant Conversion using Reactant Concentration with Varying Density, enter Initial Reactant Concentration (C_o), Reactant Concentration (C) & Fractional Volume Change (ε) and hit the calculate button. Here is how the Initial Reactant Conversion using Reactant Concentration with Varying Density calculation can be explained with given input values -> 0.658514 = (80-24)/(80+0.21*24).

FAQ

What is Initial Reactant Conversion using Reactant Concentration with Varying Density?

Initial Reactant Conversion using Reactant Concentration with Varying Densityformula is defined as the fraction of reactant converted till the given time where density is changing and temperature and total pressure are constant in both batch and flow system and is represented as X_A = (C_o-C)/(C_o+ε*C) or Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration). The Initial Reactant Concentration refers to the amount of reactant present in the solvent before the considered process, 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.

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

Initial Reactant Conversion using Reactant Concentration with Varying Densityformula is defined as the fraction of reactant converted till the given time where density is changing and temperature and total pressure are constant in both batch and flow system is calculated using Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration). To calculate Initial Reactant Conversion using Reactant Concentration with Varying Density, you need Initial Reactant Concentration (C_o), Reactant Concentration (C) & Fractional Volume Change (ε). With our tool, you need to enter the respective value for Initial Reactant Concentration, Reactant Concentration & 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 Reactant Conversion?

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

Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)
Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)

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