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Volume of Reactor for Batch Solids and Batch Fluids Formula

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

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

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

Volume of Reactor for Batch Solids and Batch Fluids Example

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Here is how the Volume of Reactor for Batch Solids and Batch Fluids equation looks like with Values.

Here is how the Volume of Reactor for Batch Solids and Batch Fluids equation looks like with Units.

Here is how the Volume of Reactor for Batch Solids and Batch Fluids equation looks like.

1004.4555 = \frac{0.988 \cdot 49}{\exp (\ln (\ln (\frac{24.1}{6.7})) + 0.034 \cdot 3) \cdot 0.034}

1004.4555m³ = \frac{0.988s⁻¹ \cdot 49kg}{\exp (\ln (\ln (\frac{24.1mol/m³}{6.7mol/m³})) + 0.034s⁻¹ \cdot 3s) \cdot 0.034s⁻¹}

1004.4555 = \frac{0.988 \cdot 49}{\exp (\ln (\ln (\frac{24.1}{6.7})) + 0.034 \cdot 3) \cdot 0.034}

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Volume of Reactor for Batch Solids and Batch Fluids Solution

Follow our step by step solution on how to calculate Volume of Reactor for Batch Solids and Batch Fluids?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{0.988s⁻¹ \cdot 49kg}{\exp (\ln (\ln (\frac{24.1mol/m³}{6.7mol/m³})) + 0.034s⁻¹ \cdot 3s) \cdot 0.034s⁻¹}

Next Step Prepare to Evaluate

∴

V = \frac{0.988 \cdot 49}{\exp (\ln (\ln (\frac{24.1}{6.7})) + 0.034 \cdot 3) \cdot 0.034}

Next Step Evaluate

∴

V = 1004.45551869733m³

LAST Step Rounding Answer

∴

V = 1004.4555m³

Volume of Reactor for Batch Solids and Batch Fluids Formula Elements

Variables

Functions

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.

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.

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.

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.

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.

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.

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.

ln

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)

Credits

Creator Image

Created by Pavan Kumar

Anurag Group of Institutions (AGI), Hyderabad

Pavan Kumar has created this Formula and 100+ more formulas!

Verifier Image

Verified by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

Vaibhav Mishra has verified this Formula and 200+ more formulas!

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)

See More

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

Volume of Reactor for Batch Solids and Batch Fluids evaluator 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 evaluate 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 evaluate Volume of Reactor for Batch Solids and Batch Fluids using this online evaluator? To use this online evaluator 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.

FAQs on Volume of Reactor for Batch Solids and Batch Fluids

What is the formula to find Volume of Reactor for Batch Solids and Batch Fluids?

The formula of Volume of Reactor for Batch Solids and Batch Fluids is expressed as 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). Here is an example- 1004.456 = (0.988*49)/(exp(ln(ln(24.1/6.7))+0.034*3)*0.034).

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

With 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) we can find Volume of Reactor for Batch Solids and Batch Fluids using the formula - 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). This formula also uses Natural Logarithm (ln), Exponential Growth (exp) function(s).

Can the Volume of Reactor for Batch Solids and Batch Fluids be negative?

No, the Volume of Reactor for Batch Solids and Batch Fluids, measured in Volume cannot be negative.

Which unit is used to measure Volume of Reactor for Batch Solids and Batch Fluids?

Volume of Reactor for Batch Solids and Batch Fluids is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Reactor for Batch Solids and Batch Fluids can be measured.

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