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Mass Diffusing Rate through Solid Boundary Plate Formula

GoMass Diffusing Rate through Hollow Cylinder with Solid Boundary Formula

GoMass Diffusing Rate through Solid Boundary Sphere Formula

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Mass Diffusing Rate is the proportionality constant between the molar flux due to molecular diffusion and the gradient in the concentration of the species. Check FAQs

m r = \frac{D ab \cdot (ρ a1 - ρ a2) \cdot A}{t p}

m_r - Mass Diffusing Rate?D_ab - Diffusion Coefficient When A Diffuse with B?ρ_a1 - Mass Concentration of Component A in Mixture 1?ρ_a2 - Mass Concentration of Component A in Mixture 2?A - Area of Solid Boundary Plate?t_p - Thickness of Solid Plate?

Mass Diffusing Rate through Solid Boundary Plate Example

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Here is how the Mass Diffusing Rate through Solid Boundary Plate equation looks like with Values.

Here is how the Mass Diffusing Rate through Solid Boundary Plate equation looks like with Units.

Here is how the Mass Diffusing Rate through Solid Boundary Plate equation looks like.

10666.6667 = \frac{0.8 \cdot (40 - 20) \cdot 800}{1.2}

10666.6667kg/s = \frac{0.8m²/s \cdot (40kg/m³ - 20kg/m³) \cdot 800m²}{1.2m}

10666.6667 = \frac{0.8 \cdot (40 - 20) \cdot 800}{1.2}

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Mass Diffusing Rate through Solid Boundary Plate Solution

Follow our step by step solution on how to calculate Mass Diffusing Rate through Solid Boundary Plate?

FIRST Step Consider the formula

m r = \frac{D ab \cdot (ρ a1 - ρ a2) \cdot A}{t p}

Next Step Substitute values of Variables

∴

m r = \frac{0.8m²/s \cdot (40kg/m³ - 20kg/m³) \cdot 800m²}{1.2m}

Next Step Prepare to Evaluate

∴

m r = \frac{0.8 \cdot (40 - 20) \cdot 800}{1.2}

Next Step Evaluate

∴

m r = 10666.6666666667kg/s

LAST Step Rounding Answer

∴

m r = 10666.6667kg/s

Mass Diffusing Rate through Solid Boundary Plate Formula Elements

Variables

Mass Diffusing Rate

Mass Diffusing Rate is the proportionality constant between the molar flux due to molecular diffusion and the gradient in the concentration of the species.

Symbol: m_r

Measurement: Mass Flow RateUnit: kg/s

Note: Value can be positive or negative.

Formulas to find Mass Diffusing Rate

Diffusion Coefficient When A Diffuse with B

Diffusion Coefficient when A Diffuse with B is the magnitude of the molar flux through a surface per unit concentration gradient out-of-plane.

Symbol: D_ab

Measurement: DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Diffusion Coefficient When A Diffuse with B

Mass Concentration of Component A in Mixture 1

Mass Concentration of Component A in Mixture 1 is the concentration of component A per unit volume in mixture 1.

Symbol: ρ_a1

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Mass Concentration of Component A in Mixture 1

Mass Concentration of Component A in Mixture 2

The Mass Concentration of component A in Mixture 2 is the concentration of component A per unit volume in mixture 2.

Symbol: ρ_a2

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Mass Concentration of Component A in Mixture 2

Area of Solid Boundary Plate

The Area of Solid Boundary Plate is the area available for mass transfer through the solid boundary plate.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Solid Boundary Plate

Thickness of Solid Plate

The Thickness of Solid Plate is the distance through an object.

Symbol: t_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Solid Plate

Other Formulas to find Mass Diffusing Rate

Go Mass Diffusing Rate through Hollow Cylinder with Solid Boundary

m r = \frac{2 \cdot π \cdot D ab \cdot l \cdot (ρ a1 - ρ a2)}{\ln (\frac{r 2}{r 1})}

Go Mass Diffusing Rate through Solid Boundary Sphere

m r = \frac{4 \cdot π \cdot r i \cdot r o \cdot D ab \cdot (ρ a1 - ρ a2)}{r o - r i}

Other formulas in Molar Diffusion category

Go Chapman Enskog Equation for Gas Phase Diffusivity

D AB = \frac{1.858 \cdot (10^{- 7}) \cdot (T^{\frac{3}{2}}) \cdot ({((\frac{1}{M A}) + (\frac{1}{M b}))}^{\frac{1}{2}})}{P T \cdot {σ AB}^{2} \cdot Ω D}

Go Diffusivity by Stefan Tube Method

D AB = \frac{[R] \cdot T \cdot P BLM \cdot ρ L \cdot ({h 1}^{2} - {h 2}^{2})}{2 \cdot P T \cdot M A \cdot (P A1 - P A2) \cdot t}

Go Diffusivity by Twin Bulb Method

D AB = \frac{(\frac{L}{a \cdot t}) \cdot (\ln (\frac{P T}{P A1 - P A2}))}{(\frac{1}{V 1}) + (\frac{1}{V 2})}

Go Fuller-Schettler-Giddings for Binary Gas Phase Diffusivity

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}})

How to Evaluate Mass Diffusing Rate through Solid Boundary Plate?

Mass Diffusing Rate through Solid Boundary Plate evaluator uses Mass Diffusing Rate = (Diffusion Coefficient When A Diffuse with B*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)*Area of Solid Boundary Plate)/Thickness of Solid Plate to evaluate the Mass Diffusing Rate, Mass Diffusing Rate through Solid Boundary Plate is defined as amount of particles diffusing through Solid Boundary Plate per unit time. Mass Diffusing Rate is denoted by m_r symbol.

How to evaluate Mass Diffusing Rate through Solid Boundary Plate using this online evaluator? To use this online evaluator for Mass Diffusing Rate through Solid Boundary Plate, enter Diffusion Coefficient When A Diffuse with B (D_ab), Mass Concentration of Component A in Mixture 1 (ρ_a1), Mass Concentration of Component A in Mixture 2 (ρ_a2), Area of Solid Boundary Plate (A) & Thickness of Solid Plate (t_p) and hit the calculate button.

FAQs on Mass Diffusing Rate through Solid Boundary Plate

What is the formula to find Mass Diffusing Rate through Solid Boundary Plate?

The formula of Mass Diffusing Rate through Solid Boundary Plate is expressed as Mass Diffusing Rate = (Diffusion Coefficient When A Diffuse with B*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)*Area of Solid Boundary Plate)/Thickness of Solid Plate. Here is an example- 10666.67 = (0.8*(40-20)*800)/1.2.

How to calculate Mass Diffusing Rate through Solid Boundary Plate?

With Diffusion Coefficient When A Diffuse with B (D_ab), Mass Concentration of Component A in Mixture 1 (ρ_a1), Mass Concentration of Component A in Mixture 2 (ρ_a2), Area of Solid Boundary Plate (A) & Thickness of Solid Plate (t_p) we can find Mass Diffusing Rate through Solid Boundary Plate using the formula - Mass Diffusing Rate = (Diffusion Coefficient When A Diffuse with B*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2)*Area of Solid Boundary Plate)/Thickness of Solid Plate.

What are the other ways to Calculate Mass Diffusing Rate?

Here are the different ways to Calculate Mass Diffusing Rate-

Mass Diffusing Rate=(2*pi*Diffusion Coefficient When A Diffuse with B*Length of Cylinder*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2))/ln(Outer Radius of Cylinder/Inner Radius of Cylinder)
Mass Diffusing Rate=(4*pi*Inner Radius*Outer Radius*Diffusion Coefficient When A Diffuse with B*(Mass Concentration of Component A in Mixture 1-Mass Concentration of Component A in Mixture 2))/(Outer Radius-Inner Radius)

Can the Mass Diffusing Rate through Solid Boundary Plate be negative?

Yes, the Mass Diffusing Rate through Solid Boundary Plate, measured in Mass Flow Rate can be negative.

Which unit is used to measure Mass Diffusing Rate through Solid Boundary Plate?

Mass Diffusing Rate through Solid Boundary Plate is usually measured using the Kilogram per Second[kg/s] for Mass Flow Rate. Gram per Second[kg/s], Gram per Hour[kg/s], Milligram per Minute[kg/s] are the few other units in which Mass Diffusing Rate through Solid Boundary Plate can be measured.

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Mass Diffusing Rate through Solid Boundary Plate Formula

​GoMass Diffusing Rate through Hollow Cylinder with Solid Boundary Formula

​GoMass Diffusing Rate through Solid Boundary Sphere Formula

Mass Diffusing Rate through Solid Boundary Plate Example

Mass Diffusing Rate through Solid Boundary Plate Solution

Mass Diffusing Rate through Solid Boundary Plate Formula Elements

Other Formulas to find Mass Diffusing Rate

Other formulas in Molar Diffusion category

How to Evaluate Mass Diffusing Rate through Solid Boundary Plate?

FAQs on Mass Diffusing Rate through Solid Boundary Plate

Variable Name

GoMass Diffusing Rate through Hollow Cylinder with Solid Boundary Formula

GoMass Diffusing Rate through Solid Boundary Sphere Formula