Created by Vaibhav Mishra
DJ Sanghvi College of Engineering (DJSCE), Mumbai
Vaibhav Mishra has created this Calculator and 50+ more calculators!
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 300+ more calculators!

Diffusivity by Twin Bulb Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(Partial Pressure of component A in 1-Partial Pressure of component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2))
DAB = ((L/(a*t))*(ln(P/(PA1-PA2))))/((1/V1)+(1/V2))
This formula uses 1 Functions, 8 Variables
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Inner Cross Section Area - The Inner Cross Section Area is the cross section of the inside of connecting tube in the twin bulb apparatus. (Measured in Square Meter)
Diffusion Time - Diffusion Time represents the total time in which the diffusion was taking place. (Measured in Second)
Pressure - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed. (Measured in Pascal)
Partial Pressure of component A in 1 - The Partial Pressure of component A in 1 is the variable which measures the partial pressure of component A in mixture 1 in a twin bulb apparatus. (Measured in Pascal)
Partial Pressure of component A in 2 - The Partial Pressure of component A in 2 is the variable which measures the partial pressure of component A in mixture 2 in the twin bulb apparatus. (Measured in Pascal)
Volume of Gas 1 - Volume of gas 1 is the total volume of the gas 1. (Measured in Cubic Meter)
Volume of Gas 2 - Volume of gas 2 is the total volume of the gas 2. (Measured in Cubic Meter)
STEP 1: Convert Input(s) to Base Unit
Length: 3 Meter --> 3 Meter No Conversion Required
Inner Cross Section Area: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required
Diffusion Time: 1000 Second --> 1000 Second No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Partial Pressure of component A in 1: 500 Pascal --> 500 Pascal No Conversion Required
Partial Pressure of component A in 2: 400 Pascal --> 400 Pascal No Conversion Required
Volume of Gas 1: 50 Cubic Meter --> 50 Cubic Meter No Conversion Required
Volume of Gas 2: 100 Cubic Meter --> 100 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
DAB = ((L/(a*t))*(ln(P/(PA1-PA2))))/((1/V1)+(1/V2)) --> ((3/(0.1*1000))*(ln(800/(500-400))))/((1/50)+(1/100))
Evaluating ... ...
DAB = 2.07944154167984
STEP 3: Convert Result to Output's Unit
2.07944154167984 Square Meter Per Second --> No Conversion Required
FINAL ANSWER
2.07944154167984 Square Meter Per Second <-- Diffusion Coefficient
(Calculation completed in 00.047 seconds)

4 Diffusivity: Measurement & Prediction Calculators

Diffusivity by Twin Bulb Method
Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(Partial Pressure of component A in 1-Partial Pressure of component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2)) Go
Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity
Diffusion Coefficient = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((Total Atomic Diffusion Volume A^(1/3))+(Total Atomic Diffusion Volume B^(1/3)))^2)))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)) Go
Chapman Enskog Equation for Gas Phase Diffusivity
Diffusion Coefficient = (1.858*(10^(-7))*(Temperature^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Pressure*Characteristic Length Parameter^2*Collision Integral) Go
Wilke Chang Equation for Liquid Phase Diffusivity
Diffusion Coefficient = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature)/(Dynamic Viscosity*(Molar Volume^0.6)) Go

Diffusivity by Twin Bulb Method Formula

Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(Partial Pressure of component A in 1-Partial Pressure of component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2))
DAB = ((L/(a*t))*(ln(P/(PA1-PA2))))/((1/V1)+(1/V2))

What is Twin Bulb Method?

Two large bulbs are connected by a narrow tube. In the beginning two bulbs are evacuated and all the valves are kept closed. Then a valve is opened and bulb 1 is filled with pure A at a pressure P. After that the other valve is opened and bulb 2 is filled with pure B at the same pressure P. Then the valve on connecting tube is opened and the diffusion is allowed to take place. Now, diffusion coefficient could be calculated by measuring partial pressure variation with time.

How to Calculate Diffusivity by Twin Bulb Method?

Diffusivity by Twin Bulb Method calculator uses Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(Partial Pressure of component A in 1-Partial Pressure of component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2)) to calculate the Diffusion Coefficient, The Diffusivity by Twin Bulb Method formula is defined as diffusion coefficient calculation by the using of the experimental data of twin bulb's apparatus. Diffusion Coefficient is denoted by DAB symbol.

How to calculate Diffusivity by Twin Bulb Method using this online calculator? To use this online calculator for Diffusivity by Twin Bulb Method, enter Length (L), Inner Cross Section Area (a), Diffusion Time (t), Pressure (P), Partial Pressure of component A in 1 (PA1), Partial Pressure of component A in 2 (PA2), Volume of Gas 1 (V1) & Volume of Gas 2 (V2) and hit the calculate button. Here is how the Diffusivity by Twin Bulb Method calculation can be explained with given input values -> 2.079442 = ((3/(0.1*1000))*(ln(800/(500-400))))/((1/50)+(1/100)).

FAQ

What is Diffusivity by Twin Bulb Method?
The Diffusivity by Twin Bulb Method formula is defined as diffusion coefficient calculation by the using of the experimental data of twin bulb's apparatus and is represented as DAB = ((L/(a*t))*(ln(P/(PA1-PA2))))/((1/V1)+(1/V2)) or Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(Partial Pressure of component A in 1-Partial Pressure of component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2)). Length is the measurement or extent of something from end to end, The Inner Cross Section Area is the cross section of the inside of connecting tube in the twin bulb apparatus, Diffusion Time represents the total time in which the diffusion was taking place, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, The Partial Pressure of component A in 1 is the variable which measures the partial pressure of component A in mixture 1 in a twin bulb apparatus, The Partial Pressure of component A in 2 is the variable which measures the partial pressure of component A in mixture 2 in the twin bulb apparatus, Volume of gas 1 is the total volume of the gas 1 & Volume of gas 2 is the total volume of the gas 2.
How to calculate Diffusivity by Twin Bulb Method?
The Diffusivity by Twin Bulb Method formula is defined as diffusion coefficient calculation by the using of the experimental data of twin bulb's apparatus is calculated using Diffusion Coefficient = ((Length/(Inner Cross Section Area*Diffusion Time))*(ln(Pressure/(Partial Pressure of component A in 1-Partial Pressure of component A in 2))))/((1/Volume of Gas 1)+(1/Volume of Gas 2)). To calculate Diffusivity by Twin Bulb Method, you need Length (L), Inner Cross Section Area (a), Diffusion Time (t), Pressure (P), Partial Pressure of component A in 1 (PA1), Partial Pressure of component A in 2 (PA2), Volume of Gas 1 (V1) & Volume of Gas 2 (V2). With our tool, you need to enter the respective value for Length, Inner Cross Section Area, Diffusion Time, Pressure, Partial Pressure of component A in 1, Partial Pressure of component A in 2, Volume of Gas 1 & Volume of Gas 2 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 Diffusion Coefficient?
In this formula, Diffusion Coefficient uses Length, Inner Cross Section Area, Diffusion Time, Pressure, Partial Pressure of component A in 1, Partial Pressure of component A in 2, Volume of Gas 1 & Volume of Gas 2. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Diffusion Coefficient = ([R]*Temperature*Log Mean Partial Pressure*Density of Gas*(Height of Column 1^2-Height of Column 2^2))/(2*Pressure*Molecular Weight A*(Partial Pressure of component A in 1-Partial Pressure of component A in 2)*Diffusion Time)
  • Diffusion Coefficient = (1.858*(10^(-7))*(Temperature^(3/2))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2)))/(Pressure*Characteristic Length Parameter^2*Collision Integral)
  • Diffusion Coefficient = ((1.0133*(10^(-7))*(Temperature^1.75))/(Pressure*(((Total Atomic Diffusion Volume A^(1/3))+(Total Atomic Diffusion Volume B^(1/3)))^2)))*(((1/Molecular Weight A)+(1/Molecular Weight B))^(1/2))
  • Diffusion Coefficient = (1.173*(10^(-16))*((Association Factor*Molecular Weight B)^(1/2))*Temperature)/(Dynamic Viscosity*(Molar Volume^0.6))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!