## Key Reactant Concentration with Varying Density,Temperature and Total Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Ckey = Ckey0*((1-Xkey)/(1+ε*Xkey))*((T0*π)/(TCRE*π0))
This formula uses 8 Variables
Variables Used
Key-Reactant Concentration - (Measured in Mole per Cubic Meter) - Key-Reactant Concentration is the concentration of the reactant which is considered as a basis for determining conversion.
Initial Key-Reactant Concentration - (Measured in Mole per Cubic Meter) - Initial Key-Reactant Concentration is the concentration of the reactant which is considered as a basis for determining conversion.
Key-Reactant Conversion - Key-Reactant Conversion gives us the percentage of reactant converted into product whose quantity play a significant role in the chemical reaction.
Fractional Volume Change - Fractional Volume Change is the ratio of the change in volume and the initial volume.
Initial Temperature - (Measured in Kelvin) - Initial Temperature is the varying temperature of the system just before the process under consideration.
Total Pressure - (Measured in Pascal) - Total Pressure is the total force that the gas exerts on the walls of its container at given time during a chemical reaction.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Initial Total Pressure - (Measured in Pascal) - Initial Total Pressure is the total force that the gas exerts on the walls of its container before chemical reaction.
STEP 1: Convert Input(s) to Base Unit
Initial Key-Reactant Concentration: 13.03566 Mole per Cubic Meter --> 13.03566 Mole per Cubic Meter No Conversion Required
Key-Reactant Conversion: 0.3 --> No Conversion Required
Fractional Volume Change: 0.21 --> No Conversion Required
Initial Temperature: 303 Kelvin --> 303 Kelvin No Conversion Required
Total Pressure: 50 Pascal --> 50 Pascal No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Initial Total Pressure: 45 Pascal --> 45 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ckey = Ckey0*((1-Xkey)/(1+ε*Xkey))*((T0*π)/(TCRE0)) --> 13.03566*((1-0.3)/(1+0.21*0.3))*((303*50)/(85*45))
Evaluating ... ...
Ckey = 34.0000059764263
STEP 3: Convert Result to Output's Unit
34.0000059764263 Mole per Cubic Meter --> No Conversion Required
34.0000059764263 34.00001 Mole per Cubic Meter <-- Key-Reactant Concentration
(Calculation completed in 00.004 seconds)
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## < 9 Introduction to Reactor Design Calculators

Key Reactant Conversion with Varying Density,Temperature and Total Pressure
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
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
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
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
Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
Initial Reactant Concentration using Reactant Conversion with Varying Density
Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
Initial Reactant Concentration using Reactant Conversion
Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)
Reactant Concentration using Reactant Conversion
Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)
Rate Constant for Zero Order Reaction from Arrhenius Equation
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
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
Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)
Initial Reactant Concentration using Reactant Conversion
Initial Reactant Concentration = Reactant Concentration/(1-Reactant Conversion)
Reactant Concentration using Reactant Conversion
Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)
Reactant Conversion using Reactant Concentration
Reactant Conversion = 1-(Reactant Concentration/Initial Reactant Concentration)

## Key Reactant Concentration with Varying Density,Temperature and Total Pressure Formula

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))
Ckey = Ckey0*((1-Xkey)/(1+ε*Xkey))*((T0*π)/(TCRE*π0))

## 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 Key Reactant Concentration with Varying Density,Temperature and Total Pressure?

Key Reactant Concentration with Varying Density,Temperature and Total Pressure calculator uses 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)) to calculate the Key-Reactant Concentration, The Key Reactant Concentration with Varying Density,Temperature and Total Pressure formula is defined as the concentration of the reactant whose quantity play a significant role in the chemical reaction while density, temperature and total pressure of system are varying. Key-Reactant Concentration is denoted by Ckey symbol.

How to calculate Key Reactant Concentration with Varying Density,Temperature and Total Pressure using this online calculator? To use this online calculator for Key Reactant Concentration with Varying Density,Temperature and Total Pressure, enter Initial Key-Reactant Concentration (Ckey0), Key-Reactant Conversion (Xkey), Fractional Volume Change (ε), Initial Temperature (T0), Total Pressure (π), Temperature (TCRE) & Initial Total Pressure 0) and hit the calculate button. Here is how the Key Reactant Concentration with Varying Density,Temperature and Total Pressure calculation can be explained with given input values -> 234.7407 = 13.03566*((1-0.3)/(1+0.21*0.3))*((303*50)/(85*45)).

### FAQ

What is Key Reactant Concentration with Varying Density,Temperature and Total Pressure?
The Key Reactant Concentration with Varying Density,Temperature and Total Pressure formula is defined as the concentration of the reactant whose quantity play a significant role in the chemical reaction while density, temperature and total pressure of system are varying and is represented as Ckey = Ckey0*((1-Xkey)/(1+ε*Xkey))*((T0*π)/(TCRE*π0)) or 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)). Initial Key-Reactant Concentration is the concentration of the reactant which is considered as a basis for determining conversion, Key-Reactant Conversion gives us the percentage of reactant converted into product whose quantity play a significant role in the chemical reaction, Fractional Volume Change is the ratio of the change in volume and the initial volume, Initial Temperature is the varying temperature of the system just before the process under consideration, Total Pressure is the total force that the gas exerts on the walls of its container at given time during a chemical reaction, Temperature is the degree or intensity of heat present in a substance or object & Initial Total Pressure is the total force that the gas exerts on the walls of its container before chemical reaction.
How to calculate Key Reactant Concentration with Varying Density,Temperature and Total Pressure?
The Key Reactant Concentration with Varying Density,Temperature and Total Pressure formula is defined as the concentration of the reactant whose quantity play a significant role in the chemical reaction while density, temperature and total pressure of system are varying is calculated using 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)). To calculate Key Reactant Concentration with Varying Density,Temperature and Total Pressure, you need Initial Key-Reactant Concentration (Ckey0), Key-Reactant Conversion (Xkey), Fractional Volume Change (ε), Initial Temperature (T0), Total Pressure (π), Temperature (TCRE) & Initial Total Pressure 0). With our tool, you need to enter the respective value for Initial Key-Reactant Concentration, Key-Reactant Conversion, Fractional Volume Change, Initial Temperature, Total Pressure, Temperature & Initial Total Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know