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Partial Pressure of Gaseous A in G/L Reactions Formula

GoPartial Pressure of Gaseous A at Extreme B Formula

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Pressure of Gaseous A refers to the the Pressure exerted by the Reactant A at the G/L interphase. Check FAQs

p Ag = r A''' \cdot ((\frac{1}{k Ag \cdot a i}) + (\frac{H A}{k Al \cdot a i}) + (\frac{H A}{k Ac \cdot a c}) + (\frac{H A}{(k A''' \cdot C B,d) \cdot ξ A \cdot f s}))

p_Ag - Pressure of Gaseous A?r_A''' - Reaction Rate of Reactant A?k_Ag - Gas Phase Mass Transfer Coefficient?a_i - Inner Area of Particle?H_A - Henry Law Constant?k_Al - Liquid Phase Mass Transfer Coefficient?k_Ac - Film Coefficient of Catalyst on A?a_c - External Area of Particle?k_A''' - Rate Constant of A?C_B,d - Diffused Concentration of Reactant B?ξ_A - Effectiveness Factor of Reactant A?f_s - Solid Loading into Reactors?

Partial Pressure of Gaseous A in G/L Reactions Example

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Here is how the Partial Pressure of Gaseous A in G/L Reactions equation looks like with Values.

Here is how the Partial Pressure of Gaseous A in G/L Reactions equation looks like with Units.

Here is how the Partial Pressure of Gaseous A in G/L Reactions equation looks like.

6.1529 = 1.908 \cdot ((\frac{1}{1.2358 \cdot 0.75}) + (\frac{0.034}{0.039 \cdot 0.75}) + (\frac{0.034}{0.77 \cdot 0.045}) + (\frac{0.034}{(1.823 \cdot 9.56) \cdot 0.91 \cdot 0.97}))

6.1529Pa = 1.908mol/m³*s \cdot ((\frac{1}{1.2358m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.039m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.77m/s \cdot 0.045m²}) + (\frac{0.034mol/(m³*Pa)}{(1.823s⁻¹ \cdot 9.56mol/m³) \cdot 0.91 \cdot 0.97}))

6.1529 = 1.908 \cdot ((\frac{1}{1.2358 \cdot 0.75}) + (\frac{0.034}{0.039 \cdot 0.75}) + (\frac{0.034}{0.77 \cdot 0.045}) + (\frac{0.034}{(1.823 \cdot 9.56) \cdot 0.91 \cdot 0.97}))

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Partial Pressure of Gaseous A in G/L Reactions Solution

Follow our step by step solution on how to calculate Partial Pressure of Gaseous A in G/L Reactions?

FIRST Step Consider the formula

p Ag = r A''' \cdot ((\frac{1}{k Ag \cdot a i}) + (\frac{H A}{k Al \cdot a i}) + (\frac{H A}{k Ac \cdot a c}) + (\frac{H A}{(k A''' \cdot C B,d) \cdot ξ A \cdot f s}))

Next Step Substitute values of Variables

∴

p Ag = 1.908mol/m³*s \cdot ((\frac{1}{1.2358m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.039m/s \cdot 0.75m⁻¹}) + (\frac{0.034mol/(m³*Pa)}{0.77m/s \cdot 0.045m²}) + (\frac{0.034mol/(m³*Pa)}{(1.823s⁻¹ \cdot 9.56mol/m³) \cdot 0.91 \cdot 0.97}))

Next Step Prepare to Evaluate

∴

p Ag = 1.908 \cdot ((\frac{1}{1.2358 \cdot 0.75}) + (\frac{0.034}{0.039 \cdot 0.75}) + (\frac{0.034}{0.77 \cdot 0.045}) + (\frac{0.034}{(1.823 \cdot 9.56) \cdot 0.91 \cdot 0.97}))

Next Step Evaluate

∴

p Ag = 6.15285643884264Pa

LAST Step Rounding Answer

∴

p Ag = 6.1529Pa

Partial Pressure of Gaseous A in G/L Reactions Formula Elements

Variables

Pressure of Gaseous A

Pressure of Gaseous A refers to the the Pressure exerted by the Reactant A at the G/L interphase.

Symbol: p_Ag

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Pressure of Gaseous A

Reaction Rate of Reactant A

Reaction Rate of Reactant A is the Reaction rate Calculated based on Volume of Catalyst pellets, where Catalyst is present in the Reactor, in Reaction involving A.

Symbol: r_A'''

Measurement: Reaction RateUnit: mol/m³*s

Note: Value can be positive or negative.

Formulas to find Reaction Rate of Reactant A

Gas Phase Mass Transfer Coefficient

Gas Phase Mass Transfer Coefficient describes the diffusion rate constant of mass transfer between a gas phase and a liquid phase in a system.

Symbol: k_Ag

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Gas Phase Mass Transfer Coefficient

Inner Area of Particle

Inner Area of Particle typically refers to the surface area within the internal pores or voids of the particle, in G/L Reactions.

Symbol: a_i

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Inner Area of Particle

Henry Law Constant

Henry Law Constant is the ratio of a compound's partial pressure in vapor phase to the concentration of the compound in liquid phase at a given temperature.

Symbol: H_A

Measurement: Henry's Law Solubility ConstantUnit: mol/(m³*Pa)

Note: Value should be greater than 0.

Formulas to find Henry Law Constant

Liquid Phase Mass Transfer Coefficient

Liquid Phase Mass Transfer Coefficient quantifies the effectiveness of the mass transfer process.

Symbol: k_Al

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Liquid Phase Mass Transfer Coefficient

Film Coefficient of Catalyst on A

Film Coefficient of Catalyst on A represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface.

Symbol: k_Ac

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Film Coefficient of Catalyst on A

External Area of Particle

External Area of Particle refers to the surface area on the outer surface of the particle.

Symbol: a_c

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find External Area of Particle

Rate Constant of A

Rate Constant of A is Constant of rate of Reaction involving Reactant A where Volume of Catalyst is considered.

Symbol: k_A'''

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant of A

Diffused Concentration of Reactant B

Diffused Concentration of Reactant B refers to the concentration profile of that reactant B as it diffuses from the bulk fluid to the surface of a catalyst particle.

Symbol: C_B,d

Measurement: Molar ConcentrationUnit: mol/m³

Note: Value should be greater than 0.

Formulas to find Diffused Concentration of Reactant B

Effectiveness Factor of Reactant A

Effectiveness Factor of Reactant A is term used to measure the resistance to pore diffusion, in G/L Reactions.

Symbol: ξ_A

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Effectiveness Factor of Reactant A

Solid Loading into Reactors

Solid Loading into Reactors refers to the amount of solid particles present in a fluid (liquid or gas) entering or present within a Reactor System.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Solid Loading into Reactors

Other Formulas to find Pressure of Gaseous A

Go Partial Pressure of Gaseous A at Extreme B

p Ag = r A''' \cdot ((\frac{1}{k Ag \cdot a i}) + (\frac{H A}{k Al \cdot a i}) + (\frac{H A}{k Ac \cdot a c}) + (\frac{H A}{(k A''' \cdot C Bl,d) \cdot ξ A \cdot f s}))

Other formulas in G to L Reactions on Solid Catalysts category

Go Henry's Law Constant

H A = \frac{p A}{C A}

Go Inner Area of Particle

a i = \frac{a gl}{V}

How to Evaluate Partial Pressure of Gaseous A in G/L Reactions?

Partial Pressure of Gaseous A in G/L Reactions evaluator uses Pressure of Gaseous A = Reaction Rate of Reactant A*((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors))) to evaluate the Pressure of Gaseous A, The Partial Pressure of Gaseous A in G/L Reactions formula refers to the pressure exerted specifically by reactant A at the gas-liquid interphase. Pressure of Gaseous A is denoted by p_Ag symbol.

How to evaluate Partial Pressure of Gaseous A in G/L Reactions using this online evaluator? To use this online evaluator for Partial Pressure of Gaseous A in G/L Reactions, enter Reaction Rate of Reactant A (r_A'''), Gas Phase Mass Transfer Coefficient (k_Ag), Inner Area of Particle (a_i), Henry Law Constant (H_A), Liquid Phase Mass Transfer Coefficient (k_Al), Film Coefficient of Catalyst on A (k_Ac), External Area of Particle (a_c), Rate Constant of A (k_A'''), Diffused Concentration of Reactant B (C_B,d), Effectiveness Factor of Reactant A (ξ_A) & Solid Loading into Reactors (f_s) and hit the calculate button.

FAQs on Partial Pressure of Gaseous A in G/L Reactions

What is the formula to find Partial Pressure of Gaseous A in G/L Reactions?

The formula of Partial Pressure of Gaseous A in G/L Reactions is expressed as Pressure of Gaseous A = Reaction Rate of Reactant A*((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors))). Here is an example- 6.152856 = 1.908*((1/(1.2358*0.75))+(0.034/(0.039*0.75))+(0.034/(0.77*0.045))+(0.034/((1.823*9.56)*0.91*0.97))).

How to calculate Partial Pressure of Gaseous A in G/L Reactions?

With Reaction Rate of Reactant A (r_A'''), Gas Phase Mass Transfer Coefficient (k_Ag), Inner Area of Particle (a_i), Henry Law Constant (H_A), Liquid Phase Mass Transfer Coefficient (k_Al), Film Coefficient of Catalyst on A (k_Ac), External Area of Particle (a_c), Rate Constant of A (k_A'''), Diffused Concentration of Reactant B (C_B,d), Effectiveness Factor of Reactant A (ξ_A) & Solid Loading into Reactors (f_s) we can find Partial Pressure of Gaseous A in G/L Reactions using the formula - Pressure of Gaseous A = Reaction Rate of Reactant A*((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors))).

What are the other ways to Calculate Pressure of Gaseous A?

Here are the different ways to Calculate Pressure of Gaseous A-

Pressure of Gaseous A=Reaction Rate of Reactant A*((1/(Gas Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Liquid Phase Mass Transfer Coefficient*Inner Area of Particle))+(Henry Law Constant/(Film Coefficient of Catalyst on A*External Area of Particle))+(Henry Law Constant/((Rate Constant of A*Diffused Concentration of Total Reactant B)*Effectiveness Factor of Reactant A*Solid Loading into Reactors)))

Can the Partial Pressure of Gaseous A in G/L Reactions be negative?

No, the Partial Pressure of Gaseous A in G/L Reactions, measured in Pressure cannot be negative.

Which unit is used to measure Partial Pressure of Gaseous A in G/L Reactions?

Partial Pressure of Gaseous A in G/L Reactions is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Partial Pressure of Gaseous A in G/L Reactions can be measured.

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Partial Pressure of Gaseous A in G/L Reactions Formula

​GoPartial Pressure of Gaseous A at Extreme B Formula

Partial Pressure of Gaseous A in G/L Reactions Example

Partial Pressure of Gaseous A in G/L Reactions Solution

Partial Pressure of Gaseous A in G/L Reactions Formula Elements

Other Formulas to find Pressure of Gaseous A

Other formulas in G to L Reactions on Solid Catalysts category

How to Evaluate Partial Pressure of Gaseous A in G/L Reactions?

FAQs on Partial Pressure of Gaseous A in G/L Reactions

Variable Name

GoPartial Pressure of Gaseous A at Extreme B Formula