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Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Formula

GoRate Constant based on Weight of Catalyst in Batch Solids and Mixed Constant Flow of Fluids Formula

GoRate Constant based on Weight of Catalyst in Batch Solids and Mixed Changing Flow of Fluids Formula

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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. Check FAQs

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

k' - Rate Constant based on Weight of Catalyst?V - Volume of Reactor?k_d - Rate of Deactivation?W_d - Weight of Catalyst in Deactivation of Catalyst?C_A - Reactant Concentration?C_A∞ - Concentration at Infinite Time?t - Time Interval?

Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Example

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Here is how the Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids equation looks like with Values.

Here is how the Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids equation looks like with Units.

Here is how the Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids equation looks like.

0.9826 = (\frac{999 \cdot 0.034}{49}) \cdot \exp (\ln (\ln (\frac{24.1}{6.7})) + 0.034 \cdot 3)

0.9826s⁻¹ = (\frac{999m³ \cdot 0.034s⁻¹}{49kg}) \cdot \exp (\ln (\ln (\frac{24.1mol/m³}{6.7mol/m³})) + 0.034s⁻¹ \cdot 3s)

0.9826 = (\frac{999 \cdot 0.034}{49}) \cdot \exp (\ln (\ln (\frac{24.1}{6.7})) + 0.034 \cdot 3)

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Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Solution

Follow our step by step solution on how to calculate Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

k' = (\frac{999m³ \cdot 0.034s⁻¹}{49kg}) \cdot \exp (\ln (\ln (\frac{24.1mol/m³}{6.7mol/m³})) + 0.034s⁻¹ \cdot 3s)

Next Step Prepare to Evaluate

∴

k' = (\frac{999 \cdot 0.034}{49}) \cdot \exp (\ln (\ln (\frac{24.1}{6.7})) + 0.034 \cdot 3)

Next Step Evaluate

∴

k' = 0.982633856479822s⁻¹

LAST Step Rounding Answer

∴

k' = 0.9826s⁻¹

Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Formula Elements

Variables

Functions

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

Volume of Reactor

Volume of Reactor is a measure of the space within the reactor vessel available for the chemical reaction to take place.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Reactor

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

Weight of Catalyst in Deactivation of Catalyst

Weight of Catalyst in Deactivation of Catalyst is the measure of mass of Catalyst, in the Chemical Process.

Symbol: W_d

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Weight of Catalyst in Deactivation of Catalyst

Reactant Concentration

Reactant concentration is a measure of the quantity of a specific reactant in relation to the total volume or mass of the system in which a chemical reaction is taking place.

Symbol: C_A

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Reactant Concentration

Concentration at Infinite Time

Concentration at Infinite Time refers to the Concentration of Reactant at Infinite Time in an Irreversible Reaction.

Symbol: C_A∞

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Concentration at Infinite Time

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

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

Syntax: ln(Number)

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 Rate Constant based on Weight of Catalyst

Go Rate Constant based on Weight of Catalyst in Batch Solids and Mixed Constant Flow of Fluids

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

Go Rate Constant based on Weight of Catalyst in Batch Solids and Mixed Changing Flow of Fluids

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

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)

How to Evaluate Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids?

Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids evaluator uses Rate Constant based on Weight of Catalyst = ((Volume of Reactor*Rate of Deactivation)/Weight of Catalyst in Deactivation of Catalyst)*exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval) to evaluate the Rate Constant based on Weight of Catalyst, The Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids formula is defined as the Rate Constant based on Weight of the Catalyst, a parameter used to describe the kinetics of a chemical reaction, particularly in the context of catalysis. It is defined by the ratio of the rate of reaction to the weight of the catalyst present. Rate Constant based on Weight of Catalyst is denoted by k' symbol.

How to evaluate Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids using this online evaluator? To use this online evaluator for Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids, enter Volume of Reactor (V), Rate of Deactivation (k_d), Weight of Catalyst in Deactivation of Catalyst (W_d), Reactant Concentration (C_A), Concentration at Infinite Time (C_A∞) & Time Interval (t) and hit the calculate button.

FAQs on Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids

What is the formula to find Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids?

The formula of Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids is expressed as Rate Constant based on Weight of Catalyst = ((Volume of Reactor*Rate of Deactivation)/Weight of Catalyst in Deactivation of Catalyst)*exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval). Here is an example- 0.982634 = ((999*0.034)/49)*exp(ln(ln(24.1/6.7))+0.034*3).

How to calculate Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids?

With Volume of Reactor (V), Rate of Deactivation (k_d), Weight of Catalyst in Deactivation of Catalyst (W_d), Reactant Concentration (C_A), Concentration at Infinite Time (C_A∞) & Time Interval (t) we can find Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids using the formula - Rate Constant based on Weight of Catalyst = ((Volume of Reactor*Rate of Deactivation)/Weight of Catalyst in Deactivation of Catalyst)*exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval). This formula also uses Natural Logarithm (ln), Exponential Growth (exp) function(s).

What are the other ways to Calculate Rate Constant based on Weight of Catalyst?

Here are the different ways to Calculate Rate Constant based on Weight of Catalyst-

Rate Constant based on Weight of Catalyst=exp(ln((Initial Conc. for 1st Order Catalyzed Reactions/Reactant Concentration)-1)+Rate of Deactivation for Mixed Flow*Time Interval)/Space Time for 1st Order Catalyzed Reactions
Rate Constant based on Weight of Catalyst=(Initial Conc. for 1st Order Catalyzed Reactions-Reactant Concentration)/(Reactant Concentration*exp(ln(Space Time for 1st Order Catalyzed Reactions)-Rate of Deactivation for Mixed Flow*Time Interval))
Rate Constant based on Weight of Catalyst=exp(ln(ln(Initial Conc. for 1st Order Catalyzed Reactions/Reactant Concentration))+Rate of Deactivation for Plug Flow*Time Interval)/Space Time for 1st Order Catalyzed Reactions

Can the Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids be negative?

No, the Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids?

Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids can be measured.

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Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Formula

​GoRate Constant based on Weight of Catalyst in Batch Solids and Mixed Constant Flow of Fluids Formula

​GoRate Constant based on Weight of Catalyst in Batch Solids and Mixed Changing Flow of Fluids Formula

Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Example

Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Solution

Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids Formula Elements

Other Formulas to find Rate Constant based on Weight of Catalyst

Other formulas in Deactivating Catalysts category

How to Evaluate Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids?

FAQs on Rate Constant based on Weight of Catalyst in Batch Solids and Batch Fluids

Variable Name

GoRate Constant based on Weight of Catalyst in Batch Solids and Mixed Constant Flow of Fluids Formula

GoRate Constant based on Weight of Catalyst in Batch Solids and Mixed Changing Flow of Fluids Formula