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Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Formula

GoInitial Reactant Concentration of Reactant for Strong Pore Resistance in Catalyst Deactivation Formula

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Initial Conc. for 1st Order Catalyzed Reactions is the first measured Concentration of a Compound in a Substance. Check FAQs

C A0 = C A,NP \cdot \exp (k' \cdot 𝛕 ' \cdot \exp (- k d \cdot t))

C_A0 - Initial Conc. for 1st Order Catalyzed Reactions?C_A,NP - Reactant Concentration for No Pore Diffusion?k' - Rate Constant based on Weight of Catalyst?𝛕 ' - Space Time for 1st Order Catalyzed Reactions?k_d - Rate of Deactivation?t - Time Interval?

Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Example

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Here is how the Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation equation looks like with Values.

Here is how the Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation equation looks like with Units.

Here is how the Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation equation looks like.

79.9347 = 7.06 \cdot \exp (0.988 \cdot 2.72 \cdot \exp (- 0.034 \cdot 3))

79.9347mol/m³ = 7.06mol/m³ \cdot \exp (0.988s⁻¹ \cdot 2.72s \cdot \exp (- 0.034s⁻¹ \cdot 3s))

79.9347 = 7.06 \cdot \exp (0.988 \cdot 2.72 \cdot \exp (- 0.034 \cdot 3))

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Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Solution

Follow our step by step solution on how to calculate Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation?

FIRST Step Consider the formula

C A0 = C A,NP \cdot \exp (k' \cdot 𝛕 ' \cdot \exp (- k d \cdot t))

Next Step Substitute values of Variables

∴

C A0 = 7.06mol/m³ \cdot \exp (0.988s⁻¹ \cdot 2.72s \cdot \exp (- 0.034s⁻¹ \cdot 3s))

Next Step Prepare to Evaluate

∴

C A0 = 7.06 \cdot \exp (0.988 \cdot 2.72 \cdot \exp (- 0.034 \cdot 3))

Next Step Evaluate

∴

C A0 = 79.9347396570184mol/m³

LAST Step Rounding Answer

∴

C A0 = 79.9347mol/m³

Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Formula Elements

Variables

Functions

Initial Conc. for 1st Order Catalyzed Reactions

Initial Conc. for 1st Order Catalyzed Reactions is the first measured Concentration of a Compound in a Substance.

Symbol: C_A0

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Initial Conc. for 1st Order Catalyzed Reactions

Reactant Concentration for No Pore Diffusion

Reactant Concentration for No Pore Diffusion refers to the amount of reactant present at any given point of time during the process, in Catalyst Deactivation.

Symbol: C_A,NP

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Reactant Concentration for No Pore Diffusion

Rate Constant based on Weight of Catalyst

The Rate Constant based on Weight of Catalyst is a specific form of expressing the rate constant in a catalytic reaction with respect to the mass of the catalyst.

Symbol: k'

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant based on Weight of Catalyst

Space Time for 1st Order Catalyzed Reactions

Space Time for 1st Order Catalyzed Reactions is a parameter used to quantify the time required for a given volume of reactant to pass through a catalytic reactor.

Symbol: 𝛕 '

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Space Time for 1st Order Catalyzed Reactions

Rate of Deactivation

Rate of Deactivation refers to the speed or rate at which the activity of a catalyst decreases over time in a chemical reaction.

Symbol: k_d

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate of Deactivation

Time Interval

A Time Interval is the amount of time required for the change from initial to the final state.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Interval

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 to find Initial Conc. for 1st Order Catalyzed Reactions

Go Initial Reactant Concentration of Reactant for Strong Pore Resistance in Catalyst Deactivation

C A0 = C A,SP \cdot \exp ((\frac{k' \cdot 𝛕 '}{M T}) \cdot \exp (\frac{- k d \cdot t}{2}))

Other formulas in Deactivating Catalysts category

Go Activity of Catalyst

a = - \frac{r' A}{- (r' A0)}

Go Weight of Catalyst in Batch Solids and Batch Fluids

W d = (\frac{V \cdot k d}{k'}) \cdot \exp (\ln (\ln (\frac{C A}{C A∞})) + k d \cdot t)

Go Deactivation Rate in Batch Solids and Mixed Constant Flow of Fluids

k d,MF = \frac{\ln (k' \cdot 𝛕 ') - \ln ((\frac{C A0}{C A}) - 1)}{t}

Go Deactivation rate for Batch Solids and Mixed Changing Flow of Fluids

k d,MF = \frac{\ln (𝛕 ') - \ln (\frac{C A0 - C A}{k' \cdot C A})}{t}

How to Evaluate Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation?

Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation evaluator uses Initial Conc. for 1st Order Catalyzed Reactions = Reactant Concentration for No Pore Diffusion*exp(Rate Constant based on Weight of Catalyst*Space Time for 1st Order Catalyzed Reactions*exp(-Rate of Deactivation*Time Interval)) to evaluate the Initial Conc. for 1st Order Catalyzed Reactions, The Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation formula is defined as Concentration of Reactant Calculated, when there is No Resistance to Pore Diffusion in the Catalyst, with Deactivation. Initial Conc. for 1st Order Catalyzed Reactions is denoted by C_A0 symbol.

How to evaluate Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation using this online evaluator? To use this online evaluator for Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation, enter Reactant Concentration for No Pore Diffusion (C_A,NP), Rate Constant based on Weight of Catalyst (k'), Space Time for 1st Order Catalyzed Reactions (𝛕 '), Rate of Deactivation (k_d) & Time Interval (t) and hit the calculate button.

FAQs on Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation

What is the formula to find Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation?

The formula of Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation is expressed as Initial Conc. for 1st Order Catalyzed Reactions = Reactant Concentration for No Pore Diffusion*exp(Rate Constant based on Weight of Catalyst*Space Time for 1st Order Catalyzed Reactions*exp(-Rate of Deactivation*Time Interval)). Here is an example- 272.865 = 7.06*exp(0.988*2.72*exp(-0.034*3)).

How to calculate Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation?

With Reactant Concentration for No Pore Diffusion (C_A,NP), Rate Constant based on Weight of Catalyst (k'), Space Time for 1st Order Catalyzed Reactions (𝛕 '), Rate of Deactivation (k_d) & Time Interval (t) we can find Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation using the formula - Initial Conc. for 1st Order Catalyzed Reactions = Reactant Concentration for No Pore Diffusion*exp(Rate Constant based on Weight of Catalyst*Space Time for 1st Order Catalyzed Reactions*exp(-Rate of Deactivation*Time Interval)). This formula also uses Exponential Growth (exp) function(s).

What are the other ways to Calculate Initial Conc. for 1st Order Catalyzed Reactions?

Here are the different ways to Calculate Initial Conc. for 1st Order Catalyzed Reactions-

Initial Conc. for 1st Order Catalyzed Reactions=Reactant Concentration for Strong Pore Diffusion*exp(((Rate Constant based on Weight of Catalyst*Space Time for 1st Order Catalyzed Reactions)/Thiele Modulus for Deactivation without a)*exp((-Rate of Deactivation*Time Interval)/2))

Can the Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation be negative?

No, the Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation, measured in Molar Concentration cannot be negative.

Which unit is used to measure Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation?

Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation 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 of Reactant for No Pore Resistance in Catalyst Deactivation can be measured.

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Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Formula

​GoInitial Reactant Concentration of Reactant for Strong Pore Resistance in Catalyst Deactivation Formula

Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Example

Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Solution

Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation Formula Elements

Other Formulas to find Initial Conc. for 1st Order Catalyzed Reactions

Other formulas in Deactivating Catalysts category

How to Evaluate Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation?

FAQs on Initial Reactant Concentration of Reactant for No Pore Resistance in Catalyst Deactivation

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GoInitial Reactant Concentration of Reactant for Strong Pore Resistance in Catalyst Deactivation Formula