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Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Formula

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The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit. Check FAQs

D AB = (\frac{1.0133 \cdot (10^{- 7}) \cdot (T^{1.75})}{P T \cdot ({(({Σv A}^{\frac{1}{3}}) + ({Σv B}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{M A}) + (\frac{1}{M b}))}^{\frac{1}{2}})

D_AB - Diffusion Coefficient (DAB)?T - Temperature of Gas?P_T - Total Pressure of Gas?Σv_A - Total Atomic Diffusion Volume A?Σv_B - Total Atomic Diffusion Volume B?M_A - Molecular Weight A?M_b - Molecular Weight B?

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Example

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Here is how the Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity equation looks like with Values.

Here is how the Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity equation looks like with Units.

Here is how the Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity equation looks like.

0.007 = (\frac{1.0133 \cdot (10^{- 7}) \cdot (298^{1.75})}{101325 \cdot ({(({0.02}^{\frac{1}{3}}) + ({0.014}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{4}) + (\frac{1}{2.01}))}^{\frac{1}{2}})

0.007m²/s = (\frac{1.0133 \cdot (10^{- 7}) \cdot ({298K}^{1.75})}{101325Pa \cdot ({(({0.02m³}^{\frac{1}{3}}) + ({0.014m³}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{4kg/mol}) + (\frac{1}{2.01kg/mol}))}^{\frac{1}{2}})

0.007 = (\frac{1.0133 \cdot (10^{- 7}) \cdot (298^{1.75})}{101325 \cdot ({(({0.02}^{\frac{1}{3}}) + ({0.014}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{4}) + (\frac{1}{2.01}))}^{\frac{1}{2}})

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Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Solution

Follow our step by step solution on how to calculate Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity?

FIRST Step Consider the formula

D AB = (\frac{1.0133 \cdot (10^{- 7}) \cdot (T^{1.75})}{P T \cdot ({(({Σv A}^{\frac{1}{3}}) + ({Σv B}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{M A}) + (\frac{1}{M b}))}^{\frac{1}{2}})

Next Step Substitute values of Variables

∴

D AB = (\frac{1.0133 \cdot (10^{- 7}) \cdot ({298K}^{1.75})}{101325Pa \cdot ({(({0.02m³}^{\frac{1}{3}}) + ({0.014m³}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{4kg/mol}) + (\frac{1}{2.01kg/mol}))}^{\frac{1}{2}})

Next Step Convert Units

∴

D AB = (\frac{1.0133 \cdot (10^{- 7}) \cdot ({298K}^{1.75})}{1.0132Bar \cdot ({(({0.02m³}^{\frac{1}{3}}) + ({0.014m³}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{4kg/mol}) + (\frac{1}{2.01kg/mol}))}^{\frac{1}{2}})

Next Step Prepare to Evaluate

∴

D AB = (\frac{1.0133 \cdot (10^{- 7}) \cdot (298^{1.75})}{1.0132 \cdot ({(({0.02}^{\frac{1}{3}}) + ({0.014}^{\frac{1}{3}}))}^{2})}) \cdot ({((\frac{1}{4}) + (\frac{1}{2.01}))}^{\frac{1}{2}})

Next Step Evaluate

∴

D AB = 0.00703713624614002m²/s

LAST Step Rounding Answer

∴

D AB = 0.007m²/s

Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity Formula Elements

Variables

Diffusion Coefficient (DAB)

The Diffusion Coefficient (DAB) is the amount of a particular substance that diffuses across a unit area in 1 second under the influence of a gradient of one unit.

Symbol: D_AB

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient (DAB)

Temperature of Gas

The temperature of Gas is the measure of the hotness or coldness of a gas.

Symbol: T

Measurement: TemperatureUnit: K