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Initial Reactant Concentration for Second Order Reaction for Plug Flow Formula

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Initial Reactant Conc for 2nd Order Plug Flow refers to the amount of reactant present in the solvent before the considered process. Check FAQs

Co PlugFlow = (\frac{1}{𝛕 pfr \cdot k''}) \cdot (2 \cdot ε PFR \cdot (1 + ε PFR) \cdot \ln (1 - X A-PFR) + {ε PFR}^{2} \cdot X A-PFR + ({(ε PFR + 1)}^{2} \cdot \frac{X A-PFR}{1 - X A-PFR}))

Co_PlugFlow - Initial Reactant Conc for 2nd Order Plug Flow?𝛕_pfr - Space Time in PFR?k^'' - Rate Constant for Second Order Reaction?ε_PFR - Fractional Volume Change in PFR?X_A-PFR - Reactant Conversion in PFR?

Initial Reactant Concentration for Second Order Reaction for Plug Flow Example

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Here is how the Initial Reactant Concentration for Second Order Reaction for Plug Flow equation looks like with Values.

Here is how the Initial Reactant Concentration for Second Order Reaction for Plug Flow equation looks like with Units.

Here is how the Initial Reactant Concentration for Second Order Reaction for Plug Flow equation looks like.

1016.2088 = (\frac{1}{0.0501 \cdot 0.0608}) \cdot (2 \cdot 0.22 \cdot (1 + 0.22) \cdot \ln (1 - 0.715) + {0.22}^{2} \cdot 0.715 + ({(0.22 + 1)}^{2} \cdot \frac{0.715}{1 - 0.715}))

1016.2088mol/m³ = (\frac{1}{0.0501s \cdot 0.0608m³/(mol*s)}) \cdot (2 \cdot 0.22 \cdot (1 + 0.22) \cdot \ln (1 - 0.715) + {0.22}^{2} \cdot 0.715 + ({(0.22 + 1)}^{2} \cdot \frac{0.715}{1 - 0.715}))

1016.2088 = (\frac{1}{0.0501 \cdot 0.0608}) \cdot (2 \cdot 0.22 \cdot (1 + 0.22) \cdot \ln (1 - 0.715) + {0.22}^{2} \cdot 0.715 + ({(0.22 + 1)}^{2} \cdot \frac{0.715}{1 - 0.715}))

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Initial Reactant Concentration for Second Order Reaction for Plug Flow Solution

Follow our step by step solution on how to calculate Initial Reactant Concentration for Second Order Reaction for Plug Flow?

FIRST Step Consider the formula

Co PlugFlow = (\frac{1}{𝛕 pfr \cdot k''}) \cdot (2 \cdot ε PFR \cdot (1 + ε PFR) \cdot \ln (1 - X A-PFR) + {ε PFR}^{2} \cdot X A-PFR + ({(ε PFR + 1)}^{2} \cdot \frac{X A-PFR}{1 - X A-PFR}))

Next Step Substitute values of Variables

∴

Co PlugFlow = (\frac{1}{0.0501s \cdot 0.0608m³/(mol*s)}) \cdot (2 \cdot 0.22 \cdot (1 + 0.22) \cdot \ln (1 - 0.715) + {0.22}^{2} \cdot 0.715 + ({(0.22 + 1)}^{2} \cdot \frac{0.715}{1 - 0.715}))

Next Step Prepare to Evaluate

∴

Co PlugFlow = (\frac{1}{0.0501 \cdot 0.0608}) \cdot (2 \cdot 0.22 \cdot (1 + 0.22) \cdot \ln (1 - 0.715) + {0.22}^{2} \cdot 0.715 + ({(0.22 + 1)}^{2} \cdot \frac{0.715}{1 - 0.715}))

Next Step Evaluate

∴

Co PlugFlow = 1016.20875140585mol/m³

LAST Step Rounding Answer

∴

Co PlugFlow = 1016.2088mol/m³

Initial Reactant Concentration for Second Order Reaction for Plug Flow Formula Elements

Variables

Functions

Initial Reactant Conc for 2nd Order Plug Flow

Initial Reactant Conc for 2nd Order Plug Flow refers to the amount of reactant present in the solvent before the considered process.

Symbol: Co_PlugFlow

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Reactant Conc for 2nd Order Plug Flow

Space Time in PFR

Space Time in PFR is the time necessary to process volume of reactor fluid at the entrance conditions.

Symbol: 𝛕_pfr

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time in PFR

Rate Constant for Second Order Reaction

The Rate Constant for Second Order Reaction is defined as the average rate of the reaction per concentration of the reactant having power raised to 2.

Symbol: k^''

Measurement: Second Order Reaction Rate ConstantUnit: m³/(mol*s)

Note: Value can be positive or negative.

Formulas to find Rate Constant for Second Order Reaction

Fractional Volume Change in PFR

Fractional Volume Change in PFR is the ratio of the change in volume and the initial volume.

Symbol: ε_PFR

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Fractional Volume Change in PFR

Reactant Conversion in PFR

Reactant Conversion in PFR gives us the percentage of reactants converted into products. Enter the percentage as a decimal between 0 and 1.

Symbol: X_A-PFR

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Reactant Conversion in PFR

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other formulas in Plug Flow or Batch category

Go Rate Constant for Second Order Reaction for Plug Flow

k PlugFlow'' = (\frac{1}{𝛕 \cdot C o}) \cdot (2 \cdot ε \cdot (1 + ε) \cdot \ln (1 - X A) + ε^{2} \cdot X A + ({(ε + 1)}^{2} \cdot \frac{X A}{1 - X A}))

Go Space Time for Second Order Reaction using Rate Constant for Plug Flow

𝛕 PlugFlow = (\frac{1}{k'' \cdot C o}) \cdot (2 \cdot ε \cdot (1 + ε) \cdot \ln (1 - X A) + ε^{2} \cdot X A + ({(ε + 1)}^{2} \cdot \frac{X A}{1 - X A}))

How to Evaluate Initial Reactant Concentration for Second Order Reaction for Plug Flow?

Initial Reactant Concentration for Second Order Reaction for Plug Flow evaluator uses Initial Reactant Conc for 2nd Order Plug Flow = (1/(Space Time in PFR*Rate Constant for Second Order Reaction))*(2*Fractional Volume Change in PFR*(1+Fractional Volume Change in PFR)*ln(1-Reactant Conversion in PFR)+Fractional Volume Change in PFR^2*Reactant Conversion in PFR+((Fractional Volume Change in PFR+1)^2*Reactant Conversion in PFR/(1-Reactant Conversion in PFR))) to evaluate the Initial Reactant Conc for 2nd Order Plug Flow, The Initial Reactant Concentration for Second Order Reaction for Plug Flow formula is defined as the concentration of reactant before the considered reaction for second order reaction where there is considerable fractional volume change. Initial Reactant Conc for 2nd Order Plug Flow is denoted by Co_PlugFlow symbol.

How to evaluate Initial Reactant Concentration for Second Order Reaction for Plug Flow using this online evaluator? To use this online evaluator for Initial Reactant Concentration for Second Order Reaction for Plug Flow, enter Space Time in PFR (𝛕_pfr), Rate Constant for Second Order Reaction (k^''), Fractional Volume Change in PFR (ε_PFR) & Reactant Conversion in PFR (X_A-PFR) and hit the calculate button.

FAQs on Initial Reactant Concentration for Second Order Reaction for Plug Flow

What is the formula to find Initial Reactant Concentration for Second Order Reaction for Plug Flow?

The formula of Initial Reactant Concentration for Second Order Reaction for Plug Flow is expressed as Initial Reactant Conc for 2nd Order Plug Flow = (1/(Space Time in PFR*Rate Constant for Second Order Reaction))*(2*Fractional Volume Change in PFR*(1+Fractional Volume Change in PFR)*ln(1-Reactant Conversion in PFR)+Fractional Volume Change in PFR^2*Reactant Conversion in PFR+((Fractional Volume Change in PFR+1)^2*Reactant Conversion in PFR/(1-Reactant Conversion in PFR))). Here is an example- 989.6288 = (1/(0.05009*0.0608))*(2*0.22*(1+0.22)*ln(1-0.715)+0.22^2*0.715+((0.22+1)^2*0.715/(1-0.715))).

How to calculate Initial Reactant Concentration for Second Order Reaction for Plug Flow?

With Space Time in PFR (𝛕_pfr), Rate Constant for Second Order Reaction (k^''), Fractional Volume Change in PFR (ε_PFR) & Reactant Conversion in PFR (X_A-PFR) we can find Initial Reactant Concentration for Second Order Reaction for Plug Flow using the formula - Initial Reactant Conc for 2nd Order Plug Flow = (1/(Space Time in PFR*Rate Constant for Second Order Reaction))*(2*Fractional Volume Change in PFR*(1+Fractional Volume Change in PFR)*ln(1-Reactant Conversion in PFR)+Fractional Volume Change in PFR^2*Reactant Conversion in PFR+((Fractional Volume Change in PFR+1)^2*Reactant Conversion in PFR/(1-Reactant Conversion in PFR))). This formula also uses Natural Logarithm (ln) function(s).

Can the Initial Reactant Concentration for Second Order Reaction for Plug Flow be negative?

No, the Initial Reactant Concentration for Second Order Reaction for Plug Flow, measured in Molar Concentration cannot be negative.

Which unit is used to measure Initial Reactant Concentration for Second Order Reaction for Plug Flow?

Initial Reactant Concentration for Second Order Reaction for Plug Flow is usually measured using the Mole per Cubic Meter[mol/m³] for Molar Concentration. Mole per Liter[mol/m³], Mole per Cubic Millimeter[mol/m³], Kilomole per Cubic Meter[mol/m³] are the few other units in which Initial Reactant Concentration for Second Order Reaction for Plug Flow can be measured.

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