Key Reactant Conversion with Varying Density,Temperature and Total Pressure Calculator

✖Key-Reactant Concentration is the concentration of the reactant which is considered as a basis for determining conversion.ⓘ Key-Reactant Concentration [C_key]			+10% -10%
✖Initial Key-Reactant Concentration is the concentration of the reactant which is considered as a basis for determining conversion.ⓘ Initial Key-Reactant Concentration [C_key0]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T_CRE]			+10% -10%
✖Initial Total Pressure is the total force that the gas exerts on the walls of its container before chemical reaction.ⓘ Initial Total Pressure [π₀]			+10% -10%
✖Initial Temperature is the varying temperature of the system just before the process under consideration.ⓘ Initial Temperature [T₀]			+10% -10%
✖Total Pressure is the total force that the gas exerts on the walls of its container at given time during a chemical reaction.ⓘ Total Pressure [π]			+10% -10%
✖Fractional Volume Change is the ratio of the change in volume and the initial volume.ⓘ Fractional Volume Change [ε]			+10% -10%

✖Key-Reactant Conversion gives us the percentage of reactant converted into product whose quantity play a significant role in the chemical reaction.ⓘ Key Reactant Conversion with Varying Density,Temperature and Total Pressure [X_key]

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Key Reactant Conversion with Varying Density,Temperature and Total Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))))
X_key = (1-((C_key/C_key0)*((T_CRE*π₀)/(T₀*π))))/(1+ε*((C_key/C_key0)*((T_CRE*π₀)/(T₀*π))))
This formula uses 8 Variables

Variables Used

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.
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.
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.
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.
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

Key-Reactant Concentration: 34 Mole per Cubic Meter --> 34 Mole per Cubic Meter No Conversion Required
Initial Key-Reactant Concentration: 13.03566 Mole per Cubic Meter --> 13.03566 Mole per Cubic Meter No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Initial Total Pressure: 45 Pascal --> 45 Pascal No Conversion Required
Initial Temperature: 303 Kelvin --> 303 Kelvin No Conversion Required
Total Pressure: 50 Pascal --> 50 Pascal No Conversion Required
Fractional Volume Change: 0.21 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

X_key = (1-((C_key/C_key0)*((T_CRE*π₀)/(T₀*π))))/(1+ε*((C_key/C_key0)*((T_CRE*π₀)/(T₀*π)))) --> (1-((34/13.03566)*((85*45)/(303*50))))/(1+0.21*((34/13.03566)*((85*45)/(303*50))))

Evaluating ... ...

X_key = 0.300000108095725

STEP 3: Convert Result to Output's Unit

0.300000108095725 --> No Conversion Required

FINAL ANSWER

0.300000108095725 ≈ 0.3 <-- Key-Reactant Conversion

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Homogeneous Reactions in Ideal Reactors » Introduction to Reactor Design » Key Reactant Conversion with Varying Density,Temperature and Total Pressure

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< Introduction to Reactor Design Calculators

Initial Reactant Conversion using Reactant Concentration with Varying Density

LaTeX Go Reactant Conversion = (Initial Reactant Concentration-Reactant Concentration)/(Initial Reactant Concentration+Fractional Volume Change*Reactant Concentration)

Initial Reactant Concentration using Reactant Conversion

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

Reactant Concentration using Reactant Conversion

LaTeX Go Reactant Concentration = Initial Reactant Concentration*(1-Reactant Conversion)

Reactant Conversion using Reactant Concentration

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

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

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

LaTeX 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

LaTeX 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))

Initial Reactant Concentration using Reactant Conversion with Varying Density

LaTeX Go Initial Reactant Conc with Varying Density = ((Reactant Concentration)*(1+Fractional Volume Change*Reactant Conversion))/(1-Reactant Conversion)

Initial Reactant Concentration using Reactant Conversion

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

Key Reactant Conversion with Varying Density,Temperature and Total Pressure Formula

LaTeX Go

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 Conversion with Varying Density,Temperature and Total Pressure?

Key Reactant Conversion with Varying Density,Temperature and Total Pressure calculator uses 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)))) to calculate the Key-Reactant Conversion, The Key Reactant Conversion with Varying Density,Temperature and Total Pressure formula is defined as the conversion 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 Conversion is denoted by X_key symbol.

How to calculate Key Reactant Conversion with Varying Density,Temperature and Total Pressure using this online calculator? To use this online calculator for Key Reactant Conversion with Varying Density,Temperature and Total Pressure, enter Key-Reactant Concentration (C_key), Initial Key-Reactant Concentration (C_key0), Temperature (T_CRE), Initial Total Pressure (π₀), Initial Temperature (T₀), Total Pressure (π) & Fractional Volume Change (ε) and hit the calculate button. Here is how the Key Reactant Conversion with Varying Density,Temperature and Total Pressure calculation can be explained with given input values -> 0.886857 = (1-((34/13.03566)*((85*45)/(303*50))))/(1+0.21*((34/13.03566)*((85*45)/(303*50)))).

FAQ

What is Key Reactant Conversion with Varying Density,Temperature and Total Pressure?

The Key Reactant Conversion with Varying Density,Temperature and Total Pressure formula is defined as the conversion 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 X_key = (1-((C_key/C_key0)*((T_CRE*π₀)/(T₀*π))))/(1+ε*((C_key/C_key0)*((T_CRE*π₀)/(T₀*π)))) or 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)))). Key-Reactant Concentration is the concentration of the reactant which is considered as a basis for determining conversion, Initial Key-Reactant Concentration is the concentration of the reactant which is considered as a basis for determining conversion, 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, 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 & Fractional Volume Change is the ratio of the change in volume and the initial volume.

How to calculate Key Reactant Conversion with Varying Density,Temperature and Total Pressure?

The Key Reactant Conversion with Varying Density,Temperature and Total Pressure formula is defined as the conversion 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 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)))). To calculate Key Reactant Conversion with Varying Density,Temperature and Total Pressure, you need Key-Reactant Concentration (C_key), Initial Key-Reactant Concentration (C_key0), Temperature (T_CRE), Initial Total Pressure (π₀), Initial Temperature (T₀), Total Pressure (π) & Fractional Volume Change (ε). With our tool, you need to enter the respective value for Key-Reactant Concentration, Initial Key-Reactant Concentration, Temperature, Initial Total Pressure, Initial Temperature, Total Pressure & Fractional Volume Change and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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