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Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Formula

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Initial Concentration of Reactant is the first measured Concentration of a Compound in a Substance. Check FAQs

C AO = C \cdot (\exp (\frac{r a''' \cdot f \cdot H}{u 0}))

C_AO - Initial Concentration of Reactant?C - Reactant Concentration?r_a''' - Reaction Rate based on Volume of Catalyst Pellets?f - Solid Fraction?H - Height of Catalyst Bed?u₀ - Superficial Gas Velocity?

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Example

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Here is how the Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order equation looks like with Values.

Here is how the Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order equation looks like with Units.

Here is how the Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order equation looks like.

41.5108 = 24 \cdot (\exp (\frac{1.908 \cdot 0.78 \cdot 2.89}{7.85}))

41.5108mol/m³ = 24mol/m³ \cdot (\exp (\frac{1.908mol/m³*s \cdot 0.78 \cdot 2.89m}{7.85m/s}))

41.5108 = 24 \cdot (\exp (\frac{1.908 \cdot 0.78 \cdot 2.89}{7.85}))

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Chemical Reaction Engineering » fx Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Solution

Follow our step by step solution on how to calculate Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order?

FIRST Step Consider the formula

C AO = C \cdot (\exp (\frac{r a''' \cdot f \cdot H}{u 0}))

Next Step Substitute values of Variables

∴

C AO = 24mol/m³ \cdot (\exp (\frac{1.908mol/m³*s \cdot 0.78 \cdot 2.89m}{7.85m/s}))

Next Step Prepare to Evaluate

∴

C AO = 24 \cdot (\exp (\frac{1.908 \cdot 0.78 \cdot 2.89}{7.85}))

Next Step Evaluate

∴

C AO = 41.510800733093mol/m³

LAST Step Rounding Answer

∴

C AO = 41.5108mol/m³

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Formula Elements

Variables

Functions

Initial Concentration of Reactant

Initial Concentration of Reactant is the first measured Concentration of a Compound in a Substance.

Symbol: C_AO

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Concentration of Reactant

Reactant Concentration

The Reactant Concentration refers to the amount of reactant present at any given point of time during the process.

Symbol: C

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Reactant Concentration

Reaction Rate based on Volume of Catalyst Pellets

Reaction Rate based on Volume of Catalyst Pellets is the Reaction rate calculated based on Volume of Catalyst pellets, where Catalyst is present in the Reactor.

Symbol: r_a'''

Measurement: Reaction RateUnit: mol/m³*s

Note: Value should be greater than 0.

Formulas to find Reaction Rate based on Volume of Catalyst Pellets

Solid Fraction

Solid Fraction is defined as the Solid Fraction of the Catalyst which varies with the Initial Weight of Catalyst laid in the Reactor.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Solid Fraction

Height of Catalyst Bed

Height of Catalyst Bed is Height of the laid Catalyst in the Reactor.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Catalyst Bed

Superficial Gas Velocity

Superficial Gas Velocity is the Velocity recorded where the solids are absent.

Symbol: u₀

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Superficial Gas Velocity

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Solid Catalyzed Reactions category

Go Rate of Reaction in Mixed Flow Reactor Containing Catalyst

r' = (\frac{F A0 \cdot X A,out}{W})

Go Rate Constant for Mixed Flow Reactor with Weight of Catalyst

k ' = \frac{X A,out \cdot (1 + ε \cdot X A,out)}{(1 - X A,out) \cdot 𝛕'}

Go Space Time of Mixed Flow Reactor with Weight of Catalyst

𝛕' = \frac{X A,out \cdot (1 + ε \cdot X A,out)}{(1 - X A,out) \cdot k '}

Go Rate Constant for Mixed Flow Reactor with Volume of Catalyst

k''' = \frac{X A,out \cdot (1 + ε \cdot X A,out)}{(1 - X A,out) \cdot 𝛕'''}

How to Evaluate Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order?

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order evaluator uses Initial Concentration of Reactant = Reactant Concentration*(exp((Reaction Rate based on Volume of Catalyst Pellets*Solid Fraction*Height of Catalyst Bed)/Superficial Gas Velocity)) to evaluate the Initial Concentration of Reactant, Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order formula is defined as The Initial Concentration of Reactant obtained, when Reactant Concentration of Reactant is multiplied with the Exponential function of Rate of Reaction with Volume of Catalyst, for the special case, where ε=0. Initial Concentration of Reactant is denoted by C_AO symbol.

How to evaluate Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order using this online evaluator? To use this online evaluator for Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order, enter Reactant Concentration (C), Reaction Rate based on Volume of Catalyst Pellets (r_a'''), Solid Fraction (f), Height of Catalyst Bed (H) & Superficial Gas Velocity (u₀) and hit the calculate button.

FAQs on Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order

What is the formula to find Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order?

The formula of Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order is expressed as Initial Concentration of Reactant = Reactant Concentration*(exp((Reaction Rate based on Volume of Catalyst Pellets*Solid Fraction*Height of Catalyst Bed)/Superficial Gas Velocity)). Here is an example- 41.5108 = 24*(exp((1.908*0.78*2.89)/7.85)).

How to calculate Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order?

With Reactant Concentration (C), Reaction Rate based on Volume of Catalyst Pellets (r_a'''), Solid Fraction (f), Height of Catalyst Bed (H) & Superficial Gas Velocity (u₀) we can find Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order using the formula - Initial Concentration of Reactant = Reactant Concentration*(exp((Reaction Rate based on Volume of Catalyst Pellets*Solid Fraction*Height of Catalyst Bed)/Superficial Gas Velocity)). This formula also uses Exponential Growth (exp) function(s).

Can the Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order be negative?

No, the Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order, measured in Molar Concentration cannot be negative.

Which unit is used to measure Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order?

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order 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 Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order can be measured.

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Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Formula

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Example

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Solution

Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order Formula Elements

Other formulas in Solid Catalyzed Reactions category

How to Evaluate Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order?

FAQs on Initial Reactant Concentration for Rxn Containing Batch of Catalysts and Batch of Gas at 1st Order

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