Partial Pressure of Gaseous A in G/L Reactions Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
pAg = rA'''*((1/(kAg*ai))+(HA/(kAl*ai))+(HA/(kAc*ac))+(HA/((kA'''*CB,d)*ξA*fs)))
This formula uses 12 Variables
Variables Used
Pressure of Gaseous A - (Measured in Pascal) - Pressure of Gaseous A refers to the the Pressure exerted by the Reactant A at the G/L interphase.
Reaction Rate of Reactant A - (Measured in Mole per Cubic Meter Second) - 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.
Gas Phase Mass Transfer Coefficient - (Measured in Meter per Second) - Gas Phase Mass Transfer Coefficient describes the diffusion rate constant of mass transfer between a gas phase and a liquid phase in a system.
Inner Area of Particle - (Measured in 1 per Meter) - Inner Area of Particle typically refers to the surface area within the internal pores or voids of the particle, in G/L Reactions.
Henry Law Constant - (Measured in Mole per Cubic Meter per Pascal) - 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.
Liquid Phase Mass Transfer Coefficient - (Measured in Meter per Second) - Liquid Phase Mass Transfer Coefficient quantifies the effectiveness of the mass transfer process.
Film Coefficient of Catalyst on A - (Measured in Meter per Second) - Film Coefficient of Catalyst on A represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface.
External Area of Particle - (Measured in Square Meter) - External Area of Particle refers to the surface area on the outer surface of the particle.
Rate Constant of A - (Measured in 1 Per Second) - Rate Constant of A is Constant of rate of Reaction involving Reactant A where Volume of Catalyst is considered.
Diffused Concentration of Reactant B - (Measured in Mole per Cubic Meter) - 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.
Effectiveness Factor of Reactant A - Effectiveness Factor of Reactant A is term used to measure the resistance to pore diffusion, in G/L Reactions.
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.
STEP 1: Convert Input(s) to Base Unit
Reaction Rate of Reactant A: 1.908 Mole per Cubic Meter Second --> 1.908 Mole per Cubic Meter Second No Conversion Required
Gas Phase Mass Transfer Coefficient: 1.2358 Meter per Second --> 1.2358 Meter per Second No Conversion Required
Inner Area of Particle: 0.75 1 per Meter --> 0.75 1 per Meter No Conversion Required
Henry Law Constant: 0.034 Mole per Cubic Meter per Pascal --> 0.034 Mole per Cubic Meter per Pascal No Conversion Required
Liquid Phase Mass Transfer Coefficient: 0.039 Meter per Second --> 0.039 Meter per Second No Conversion Required
Film Coefficient of Catalyst on A: 0.77 Meter per Second --> 0.77 Meter per Second No Conversion Required
External Area of Particle: 0.045 Square Meter --> 0.045 Square Meter No Conversion Required
Rate Constant of A: 1.823 1 Per Second --> 1.823 1 Per Second No Conversion Required
Diffused Concentration of Reactant B: 9.56 Mole per Cubic Meter --> 9.56 Mole per Cubic Meter No Conversion Required
Effectiveness Factor of Reactant A: 0.91 --> No Conversion Required
Solid Loading into Reactors: 0.97 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
pAg = rA'''*((1/(kAg*ai))+(HA/(kAl*ai))+(HA/(kAc*ac))+(HA/((kA'''*CB,d)*ξA*fs))) --> 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)))
Evaluating ... ...
pAg = 6.15285643884264
STEP 3: Convert Result to Output's Unit
6.15285643884264 Pascal --> No Conversion Required
FINAL ANSWER
6.15285643884264 6.152856 Pascal <-- Pressure of Gaseous A
(Calculation completed in 00.020 seconds)

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13 G/L Reactions on Solid Catalysts Calculators

Rate Equation of Reactant A at Extreme B
​ Go Reaction Rate of Reactant A = (-(1/((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)))*Pressure of Gaseous A))
Partial Pressure of Gaseous A at Extreme B
​ Go 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)))
Rate Equation of Reactant A in G/L Reactions
​ Go Reaction Rate of Reactant A = (1/((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)))*Pressure of Gaseous A)
Partial Pressure of Gaseous A in G/L Reactions
​ Go 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)))
Rate Equation of Reactant B at Extreme A
​ Go Reaction Rate of Reactant B = (1/((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/(((Rate Constant of B*Pressure of Gaseous A)/Henry Law Constant)*Effectiveness Factor of Reactant B*Solid Loading into Reactors))))*Concentration of Liquid B
Concentration of Reactant B at Extreme A
​ Go Concentration of Liquid B = Reaction Rate of Reactant B*((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/(((Rate Constant of B*Pressure of Gaseous A)/Henry Law Constant)*Effectiveness Factor of Reactant B*Solid Loading into Reactors)))
Rate Equation of Reactant B in G/L Reactions
​ Go Reaction Rate of Reactant B = (1/((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/((Rate Constant of B*Diffused Concentration of Reactant A)*Effectiveness Factor of Reactant B*Solid Loading into Reactors))))*Concentration of Liquid B
Concentration of Reactant B in G/L Reactions
​ Go Concentration of Liquid B = Reaction Rate of Reactant B*((1/(Film Coefficient of Catalyst on B*External Area of Particle))+(1/((Rate Constant of B*Diffused Concentration of Reactant A)*Effectiveness Factor of Reactant B*Solid Loading into Reactors)))
External Area of Particle
​ Go External Area of Particle = 6*Solid Loading into Reactors/Diameter of Particle
Henry's Law Constant
​ Go Henry Law Constant = Partial Pressure of Reactant A/Reactant Concentration
Inner Area of Particle
​ Go Inner Area of Particle = Gas Liquid Interfacial Area/Volume of Reactor
Solid Loading
​ Go Solid Loading into Reactors = Volume of Particles/Volume of Reactor
Liquid Holdup
​ Go Liquid Holdup = Volume of Liquid Phase/Volume of Reactor

Partial Pressure of Gaseous A in G/L Reactions 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)))
pAg = rA'''*((1/(kAg*ai))+(HA/(kAl*ai))+(HA/(kAc*ac))+(HA/((kA'''*CB,d)*ξA*fs)))

What is Effectiveness Factor?

The effectiveness factor in the context of solid catalyzed reactions is a dimensionless parameter that describes how effectively a catalyst is utilized in a chemical reaction. It is used to assess the impact of mass transfer limitations on the overall reaction rate.

What are G/L Reactions on Solid Catalysts?

In some chemical processes, reactions involve both gas and liquid phases, and solid catalysts can play a crucial role in facilitating these reactions. One common example is the use of solid catalysts in gas-liquid phase reactions in heterogeneous catalysis.

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

Partial Pressure of Gaseous A in G/L Reactions calculator 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 calculate 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 pAg symbol.

How to calculate Partial Pressure of Gaseous A in G/L Reactions using this online calculator? To use this online calculator for Partial Pressure of Gaseous A in G/L Reactions, enter Reaction Rate of Reactant A (rA'''), Gas Phase Mass Transfer Coefficient (kAg), Inner Area of Particle (ai), Henry Law Constant (HA), Liquid Phase Mass Transfer Coefficient (kAl), Film Coefficient of Catalyst on A (kAc), External Area of Particle (ac), Rate Constant of A (kA'''), Diffused Concentration of Reactant B (CB,d), Effectiveness Factor of Reactant A A) & Solid Loading into Reactors (fs) and hit the calculate button. Here is how the Partial Pressure of Gaseous A in G/L Reactions calculation can be explained with given input values -> 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))).

FAQ

What is Partial Pressure of Gaseous A in G/L Reactions?
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 and is represented as pAg = rA'''*((1/(kAg*ai))+(HA/(kAl*ai))+(HA/(kAc*ac))+(HA/((kA'''*CB,d)*ξA*fs))) or 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))). 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, Gas Phase Mass Transfer Coefficient describes the diffusion rate constant of mass transfer between a gas phase and a liquid phase in a system, Inner Area of Particle typically refers to the surface area within the internal pores or voids of the particle, in G/L Reactions, 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, Liquid Phase Mass Transfer Coefficient quantifies the effectiveness of the mass transfer process, Film Coefficient of Catalyst on A represents the diffusion rate constant of mass transfer between the bulk fluid and the catalyst surface, External Area of Particle refers to the surface area on the outer surface of the particle, Rate Constant of A is Constant of rate of Reaction involving Reactant A where Volume of Catalyst is considered, 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, Effectiveness Factor of Reactant A is term used to measure the resistance to pore diffusion, in G/L Reactions & 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.
How to calculate Partial Pressure of Gaseous A in G/L Reactions?
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 is calculated using 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 calculate Partial Pressure of Gaseous A in G/L Reactions, you need Reaction Rate of Reactant A (rA'''), Gas Phase Mass Transfer Coefficient (kAg), Inner Area of Particle (ai), Henry Law Constant (HA), Liquid Phase Mass Transfer Coefficient (kAl), Film Coefficient of Catalyst on A (kAc), External Area of Particle (ac), Rate Constant of A (kA'''), Diffused Concentration of Reactant B (CB,d), Effectiveness Factor of Reactant A A) & Solid Loading into Reactors (fs). With our tool, you need to enter the respective value for Reaction Rate of Reactant A, Gas Phase Mass Transfer Coefficient, Inner Area of Particle, Henry Law Constant, Liquid Phase Mass Transfer Coefficient, Film Coefficient of Catalyst on A, External Area of Particle, Rate Constant of A, Diffused Concentration of Reactant B, Effectiveness Factor of Reactant A & Solid Loading into Reactors and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure of Gaseous A?
In this formula, Pressure of Gaseous A uses Reaction Rate of Reactant A, Gas Phase Mass Transfer Coefficient, Inner Area of Particle, Henry Law Constant, Liquid Phase Mass Transfer Coefficient, Film Coefficient of Catalyst on A, External Area of Particle, Rate Constant of A, Diffused Concentration of Reactant B, Effectiveness Factor of Reactant A & Solid Loading into Reactors. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)))
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