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Temperature dependent diffusion coefficient Formula

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Diffusion coefficient is the proportionality factor D in Fick's law . Check FAQs

D = D 0 \cdot e^{- \frac{Q d}{R \cdot T}}

D - Diffusion Coefficient?D₀ - Pre-exponential factor?Q_d - Activation energy for diffusion?R - Universal Gas Constant?T - Temperature?

Temperature dependent diffusion coefficient Example

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Here is how the Temperature dependent diffusion coefficient equation looks like with Values.

Here is how the Temperature dependent diffusion coefficient equation looks like with Units.

Here is how the Temperature dependent diffusion coefficient equation looks like.

0.0001 = 0.0001 \cdot e^{- \frac{1.31}{8.314 \cdot 85}}

0.0001m²/s = 0.0001m²/s \cdot e^{- \frac{1.31eV}{8.314 \cdot 85K}}

0.0001 = 0.0001 \cdot e^{- \frac{1.31}{8.314 \cdot 85}}

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Temperature dependent diffusion coefficient Solution

Follow our step by step solution on how to calculate Temperature dependent diffusion coefficient?

FIRST Step Consider the formula

D = D 0 \cdot e^{- \frac{Q d}{R \cdot T}}

Next Step Substitute values of Variables

∴

D = 0.0001m²/s \cdot e^{- \frac{1.31eV}{8.314 \cdot 85K}}

Next Step Convert Units

∴

D = 0.0001m²/s \cdot e^{- \frac{2.1E-19J}{8.314 \cdot 85K}}

Next Step Prepare to Evaluate

∴

D = 0.0001 \cdot e^{- \frac{2.1E-19}{8.314 \cdot 85}}

LAST Step Evaluate

∴

D = 0.0001m²/s

Temperature dependent diffusion coefficient Formula Elements

Variables

Diffusion Coefficient

Diffusion coefficient is the proportionality factor D in Fick's law .

Symbol: D

Measurement: DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Diffusion Coefficient

Pre-exponential factor

Pre-exponential factor to calculate diffusion coefficient.

Symbol: D₀

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Pre-exponential factor

Activation energy for diffusion

Activation energy for diffusion that is energy required to produce the diffusive motion of an atom.

Symbol: Q_d

Measurement: EnergyUnit: eV

Note: Value can be positive or negative.

Formulas to find Activation energy for diffusion

Universal Gas Constant

Universal Gas Constant is a physical constant that appears in an equation defining the behavior of a gas under theoretically ideal conditions. Its unit is joule*kelvin−1*mole−1.

Symbol: R

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Universal Gas Constant

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Other formulas in Composition and Diffusion category

Go Diffusion Flux

J = D \cdot (\frac{ΔC}{d})

Go Mass percent to volume percent

V 1 = M 1 \cdot ρ 2 \cdot \frac{100}{M 1 \cdot ρ 2 + (100 - M 1) \cdot 𝜌 1}

Go Atom percent to mass percent

m 1 = X 1 \cdot A 1 \cdot \frac{100}{X 1 \cdot A 1 + (100 - X 1) \cdot A 2}

Go Entropy of mixing

ΔS mix = 8.314 \cdot (X A \cdot \ln (X A) + (1 - X A) \cdot \ln (1 - X A))

How to Evaluate Temperature dependent diffusion coefficient?

Temperature dependent diffusion coefficient evaluator uses Diffusion Coefficient = Pre-exponential factor*e^(-Activation energy for diffusion/(Universal Gas Constant*Temperature)) to evaluate the Diffusion Coefficient, Temperature dependent diffusion coefficient gives the dependency of the diffusion coefficient of solids, liquids, and gases on temperature. Diffusion Coefficient is denoted by D symbol.

How to evaluate Temperature dependent diffusion coefficient using this online evaluator? To use this online evaluator for Temperature dependent diffusion coefficient, enter Pre-exponential factor (D₀), Activation energy for diffusion (Q_d), Universal Gas Constant (R) & Temperature (T) and hit the calculate button.

FAQs on Temperature dependent diffusion coefficient

What is the formula to find Temperature dependent diffusion coefficient?

The formula of Temperature dependent diffusion coefficient is expressed as Diffusion Coefficient = Pre-exponential factor*e^(-Activation energy for diffusion/(Universal Gas Constant*Temperature)). Here is an example- 0.0001 = 0.0001*e^(-2.09885230230001E-19/(8.314*85)).

How to calculate Temperature dependent diffusion coefficient?

With Pre-exponential factor (D₀), Activation energy for diffusion (Q_d), Universal Gas Constant (R) & Temperature (T) we can find Temperature dependent diffusion coefficient using the formula - Diffusion Coefficient = Pre-exponential factor*e^(-Activation energy for diffusion/(Universal Gas Constant*Temperature)).

Can the Temperature dependent diffusion coefficient be negative?

Yes, the Temperature dependent diffusion coefficient, measured in Diffusivity can be negative.

Which unit is used to measure Temperature dependent diffusion coefficient?

Temperature dependent diffusion coefficient is usually measured using the Square Meter Per Second[m²/s] for Diffusivity. Square Centimeter Per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Temperature dependent diffusion coefficient can be measured.

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Temperature dependent diffusion coefficient Formula

Temperature dependent diffusion coefficient Example

Temperature dependent diffusion coefficient Solution

Temperature dependent diffusion coefficient Formula Elements

Other formulas in Composition and Diffusion category

How to Evaluate Temperature dependent diffusion coefficient?

FAQs on Temperature dependent diffusion coefficient

Variable Name