FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Mass Diffusing Rate through Solid Boundary Sphere Formula

GoMass Diffusing Rate through Hollow Cylinder with Solid Boundary Formula

GoMass Diffusing Rate through Solid Boundary Plate Formula

Fx Copy

LaTeX Copy

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

m_r - Mass Diffusing Rate?r_i - Inner Radius?r_o - Outer Radius?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?π - Archimedes' constant?

Mass Diffusing Rate through Solid Boundary Sphere Example

With values

With units

Only example

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

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

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

12666.9016 = \frac{4 \cdot 3.1416 \cdot 6.3 \cdot 7 \cdot 0.8 \cdot (40 - 20)}{7 - 6.3}

12666.9016kg/s = \frac{4 \cdot 3.1416 \cdot 6.3m \cdot 7m \cdot 0.8m²/s \cdot (40kg/m³ - 20kg/m³)}{7m - 6.3m}

12666.9016 = \frac{4 \cdot 3.1416 \cdot 6.3 \cdot 7 \cdot 0.8 \cdot (40 - 20)}{7 - 6.3}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Heat and Mass Transfer » fx Mass Diffusing Rate through Solid Boundary Sphere

Mass Diffusing Rate through Solid Boundary Sphere Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m r = \frac{4 \cdot π \cdot 6.3m \cdot 7m \cdot 0.8m²/s \cdot (40kg/m³ - 20kg/m³)}{7m - 6.3m}

Next Step Substitute values of Constants

∴

m r = \frac{4 \cdot 3.1416 \cdot 6.3m \cdot 7m \cdot 0.8m²/s \cdot (40kg/m³ - 20kg/m³)}{7m - 6.3m}

Next Step Prepare to Evaluate

∴

m r = \frac{4 \cdot 3.1416 \cdot 6.3 \cdot 7 \cdot 0.8 \cdot (40 - 20)}{7 - 6.3}

Next Step Evaluate

∴

m r = 12666.901579274kg/s

LAST Step Rounding Answer

∴

m r = 12666.9016kg/s

Mass Diffusing Rate through Solid Boundary Sphere Formula Elements

Variables

Constants

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

Inner Radius

The Inner Radius of any figure is the radius of its cavity and the smaller radius among two concentric circles.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Inner Radius

Outer Radius

The Outer Radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary.

Symbol: r_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Plate

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

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 Sphere?

Mass Diffusing Rate through Solid Boundary Sphere evaluator uses 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) to evaluate the Mass Diffusing Rate, Mass Diffusing Rate through Solid Boundary Sphere is defined as amount of particles diffusing through Solid Boundary Sphere per unit time. Mass Diffusing Rate is denoted by m_r symbol.

How to evaluate Mass Diffusing Rate through Solid Boundary Sphere using this online evaluator? To use this online evaluator for Mass Diffusing Rate through Solid Boundary Sphere, enter Inner Radius (r_i), Outer Radius (r_o), 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) and hit the calculate button.

FAQs on Mass Diffusing Rate through Solid Boundary Sphere

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

The formula of Mass Diffusing Rate through Solid Boundary Sphere is expressed as 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). Here is an example- 12666.9 = (4*pi*6.3*7*0.8*(40-20))/(7-6.3).

How to calculate Mass Diffusing Rate through Solid Boundary Sphere?

With Inner Radius (r_i), Outer Radius (r_o), 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) we can find Mass Diffusing Rate through Solid Boundary Sphere using the formula - 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). This formula also uses Archimedes' constant .

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=(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

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

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

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

Mass Diffusing Rate through Solid Boundary Sphere 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 Sphere can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Mass Diffusing Rate through Solid Boundary Sphere Formula

​GoMass Diffusing Rate through Hollow Cylinder with Solid Boundary Formula

​GoMass Diffusing Rate through Solid Boundary Plate Formula

Mass Diffusing Rate through Solid Boundary Sphere Example

Mass Diffusing Rate through Solid Boundary Sphere Solution

Mass Diffusing Rate through Solid Boundary Sphere Formula Elements

Other Formulas to find Mass Diffusing Rate

Other formulas in Molar Diffusion category

How to Evaluate Mass Diffusing Rate through Solid Boundary Sphere?

FAQs on Mass Diffusing Rate through Solid Boundary Sphere

Variable Name

GoMass Diffusing Rate through Hollow Cylinder with Solid Boundary Formula

GoMass Diffusing Rate through Solid Boundary Plate Formula