Volume of Reactor for Batch Solids and Batch Fluids Calculator

✖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.ⓘ Rate Constant based on Weight of Catalyst [k']			+10% -10%
✖Weight of Catalyst in Deactivation of Catalyst is the measure of mass of Catalyst, in the Chemical Process.ⓘ Weight of Catalyst in Deactivation of Catalyst [W_d]			+10% -10%
✖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.ⓘ Reactant Concentration [C_A]			+10% -10%
✖Concentration at Infinite Time refers to the Concentration of Reactant at Infinite Time in an Irreversible Reaction.ⓘ Concentration at Infinite Time [C_A∞]			+10% -10%
✖Rate of Deactivation refers to the speed or rate at which the activity of a catalyst decreases over time in a chemical reaction.ⓘ Rate of Deactivation [k_d]			+10% -10%
✖A Time Interval is the amount of time required for the change from initial to the final state.ⓘ Time Interval [t]			+10% -10%

✖Volume of Reactor is a measure of the space within the reactor vessel available for the chemical reaction to take place.ⓘ Volume of Reactor for Batch Solids and Batch Fluids [V]

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Volume of Reactor for Batch Solids and Batch Fluids Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Reactor = (Rate Constant based on Weight of Catalyst*Weight of Catalyst in Deactivation of Catalyst)/(exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval)*Rate of Deactivation)
V = (k'*W_d)/(exp(ln(ln(C_A/C_A∞))+k_d*t)*k_d)
This formula uses 2 Functions, 7 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., 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., exp(Number)

Variables Used

Volume of Reactor - (Measured in Cubic Meter) - Volume of Reactor is a measure of the space within the reactor vessel available for the chemical reaction to take place.
Rate Constant based on Weight of Catalyst - (Measured in 1 Per Second) - 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.
Weight of Catalyst in Deactivation of Catalyst - (Measured in Kilogram) - Weight of Catalyst in Deactivation of Catalyst is the measure of mass of Catalyst, in the Chemical Process.
Reactant Concentration - (Measured in Mole per Cubic Meter) - 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.
Concentration at Infinite Time - (Measured in Mole per Cubic Meter) - Concentration at Infinite Time refers to the Concentration of Reactant at Infinite Time in an Irreversible Reaction.
Rate of Deactivation - (Measured in 1 Per Second) - Rate of Deactivation refers to the speed or rate at which the activity of a catalyst decreases over time in a chemical reaction.
Time Interval - (Measured in Second) - A Time Interval is the amount of time required for the change from initial to the final state.

STEP 1: Convert Input(s) to Base Unit

Rate Constant based on Weight of Catalyst: 0.988 1 Per Second --> 0.988 1 Per Second No Conversion Required
Weight of Catalyst in Deactivation of Catalyst: 49 Kilogram --> 49 Kilogram No Conversion Required
Reactant Concentration: 24.1 Mole per Cubic Meter --> 24.1 Mole per Cubic Meter No Conversion Required
Concentration at Infinite Time: 6.7 Mole per Cubic Meter --> 6.7 Mole per Cubic Meter No Conversion Required
Rate of Deactivation: 0.034 1 Per Second --> 0.034 1 Per Second No Conversion Required
Time Interval: 3 Second --> 3 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (k'*W_d)/(exp(ln(ln(C_A/C_A∞))+k_d*t)*k_d) --> (0.988*49)/(exp(ln(ln(24.1/6.7))+0.034*3)*0.034)

Evaluating ... ...

V = 1004.45551869733

STEP 3: Convert Result to Output's Unit

1004.45551869733 Cubic Meter --> No Conversion Required

FINAL ANSWER

1004.45551869733 ≈ 1004.456 Cubic Meter <-- Volume of Reactor

(Calculation completed in 00.020 seconds)

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< Deactivating Catalysts Calculators

Weight of Catalyst in Batch Solids and Batch Fluids

LaTeX Go Weight of Catalyst in Deactivation of Catalyst = ((Volume of Reactor*Rate of Deactivation)/Rate Constant based on Weight of Catalyst)*exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval)

Deactivation rate for Batch Solids and Mixed Changing Flow of Fluids

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

Deactivation Rate in Batch Solids and Mixed Constant Flow of Fluids

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

Activity of Catalyst

LaTeX Go Activity of Catalyst = -(Rate at which Pellet converts Reactant A)/-(Rate of Reaction of A with a Fresh Pellet)

Volume of Reactor for Batch Solids and Batch Fluids Formula

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What are Batch Solids and Batch Fluids?

Batch solids refer to solid materials that are processed in a batch mode, meaning that a specific quantity of material is treated or transformed at once in a defined batch or lot. Batch fluids refer to liquid or gaseous materials that are processed in a batch mode, where a specific volume or quantity of fluid is treated or transformed as a distinct batch.

What is Deactivation of Catalyst?

Catalyst deactivation refers to a gradual loss of catalytic activity over time, leading to a decline in the catalyst's effectiveness in promoting a chemical reaction. This phenomenon can occur due to various factors, and understanding the mechanisms of catalyst deactivation is crucial for optimizing and extending the lifespan of catalysts in industrial processes.

How to Calculate Volume of Reactor for Batch Solids and Batch Fluids?

Volume of Reactor for Batch Solids and Batch Fluids calculator uses Volume of Reactor = (Rate Constant based on Weight of Catalyst*Weight of Catalyst in Deactivation of Catalyst)/(exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval)*Rate of Deactivation) to calculate the Volume of Reactor, Volume of Reactor for Batch Solids and Batch Fluids formula is defined as Volume Calculated, when the Batch Solids and Batch Fluids are considered in Catalyst Deactivation. Volume of Reactor is denoted by V symbol.

How to calculate Volume of Reactor for Batch Solids and Batch Fluids using this online calculator? To use this online calculator for Volume of Reactor for Batch Solids and Batch Fluids, enter Rate Constant based on Weight of Catalyst (k'), Weight of Catalyst in Deactivation of Catalyst (W_d), Reactant Concentration (C_A), Concentration at Infinite Time (C_A∞), Rate of Deactivation (k_d) & Time Interval (t) and hit the calculate button. Here is how the Volume of Reactor for Batch Solids and Batch Fluids calculation can be explained with given input values -> 1004.456 = (0.988*49)/(exp(ln(ln(24.1/6.7))+0.034*3)*0.034).

FAQ

What is Volume of Reactor for Batch Solids and Batch Fluids?

Volume of Reactor for Batch Solids and Batch Fluids formula is defined as Volume Calculated, when the Batch Solids and Batch Fluids are considered in Catalyst Deactivation and is represented as V = (k'*W_d)/(exp(ln(ln(C_A/C_A∞))+k_d*t)*k_d) or Volume of Reactor = (Rate Constant based on Weight of Catalyst*Weight of Catalyst in Deactivation of Catalyst)/(exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval)*Rate of Deactivation). 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, Weight of Catalyst in Deactivation of Catalyst is the measure of mass of Catalyst, in the Chemical Process, 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, Concentration at Infinite Time refers to the Concentration of Reactant at Infinite Time in an Irreversible Reaction, Rate of Deactivation refers to the speed or rate at which the activity of a catalyst decreases over time in a chemical reaction & A Time Interval is the amount of time required for the change from initial to the final state.

How to calculate Volume of Reactor for Batch Solids and Batch Fluids?

Volume of Reactor for Batch Solids and Batch Fluids formula is defined as Volume Calculated, when the Batch Solids and Batch Fluids are considered in Catalyst Deactivation is calculated using Volume of Reactor = (Rate Constant based on Weight of Catalyst*Weight of Catalyst in Deactivation of Catalyst)/(exp(ln(ln(Reactant Concentration/Concentration at Infinite Time))+Rate of Deactivation*Time Interval)*Rate of Deactivation). To calculate Volume of Reactor for Batch Solids and Batch Fluids, you need Rate Constant based on Weight of Catalyst (k'), Weight of Catalyst in Deactivation of Catalyst (W_d), Reactant Concentration (C_A), Concentration at Infinite Time (C_A∞), Rate of Deactivation (k_d) & Time Interval (t). With our tool, you need to enter the respective value for Rate Constant based on Weight of Catalyst, Weight of Catalyst in Deactivation of Catalyst, Reactant Concentration, Concentration at Infinite Time, Rate of Deactivation & Time Interval 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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