FormulaDen.com

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

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Formula

GoDry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period Formula

GoDry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period Formula

Fx Copy

LaTeX Copy

The Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation. Check FAQs

W S = \frac{A \cdot t f}{(\frac{X i(Falling) - X Eq}{N c}) \cdot (\ln (\frac{X i(Falling) - X Eq}{X f(Falling) - X Eq}))}

W_S - Dry Weight of Solid?A - Drying Surface Area?t_f - Falling Rate Drying Time?X_i(Falling) - Initial Moisture Content for Falling Rate Period?X_Eq - Equilibrium Moisture Content?N_c - Rate of Constant Drying Period?X_f(Falling) - Final Moisture Content for Falling Rate Period?

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Example

With values

With units

Only example

Here is how the Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period equation looks like with Values.

Here is how the Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period equation looks like with Units.

Here is how the Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period equation looks like.

122.9264 = \frac{0.1 \cdot 37}{(\frac{0.1 - 0.05}{2}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))}

122.9264kg = \frac{0.1m² \cdot 37s}{(\frac{0.1 - 0.05}{2kg/s/m²}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))}

122.9264 = \frac{0.1 \cdot 37}{(\frac{0.1 - 0.05}{2}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Mass Transfer Operations » fx Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Solution

Follow our step by step solution on how to calculate Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period?

FIRST Step Consider the formula

W S = \frac{A \cdot t f}{(\frac{X i(Falling) - X Eq}{N c}) \cdot (\ln (\frac{X i(Falling) - X Eq}{X f(Falling) - X Eq}))}

Next Step Substitute values of Variables

∴

W S = \frac{0.1m² \cdot 37s}{(\frac{0.1 - 0.05}{2kg/s/m²}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))}

Next Step Prepare to Evaluate

∴

W S = \frac{0.1 \cdot 37}{(\frac{0.1 - 0.05}{2}) \cdot (\ln (\frac{0.1 - 0.05}{0.065 - 0.05}))}

Next Step Evaluate

∴

W S = 122.926364672216kg

LAST Step Rounding Answer

∴

W S = 122.9264kg

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Formula Elements

Variables

Functions

Dry Weight of Solid

The Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation.

Symbol: W_S

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Dry Weight of Solid

Drying Surface Area

The Drying Surface Area is the total area in the drying mass transfer operation i.e. exposed in contact with the drying medium.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Drying Surface Area

Falling Rate Drying Time

The Falling rate drying time is the time taken for drying operation in the falling rate period.

Symbol: t_f

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Falling Rate Drying Time

Initial Moisture Content for Falling Rate Period

The Initial Moisture Content for Falling Rate Period is defined as the ratio of the weight of moisture to the weight of dry solid present initially in the wet solid for drying operation.

Symbol: X_i(Falling)

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Initial Moisture Content for Falling Rate Period

Equilibrium Moisture Content

The Equilibrium Moisture Content is defined as the ratio of the weight of moisture in equilibrium with the solid to the weight of dry solid.

Symbol: X_Eq

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Equilibrium Moisture Content

Rate of Constant Drying Period

The Rate of Constant Drying Period is the rate of drying that takes place for a given set of drying conditions in the constant rate period.

Symbol: N_c

Measurement: Mass FluxUnit: kg/s/m²

Note: Value should be greater than 0.

Formulas to find Rate of Constant Drying Period

Final Moisture Content for Falling Rate Period

The Final Moisture Content for Falling Rate Period is defined as the ratio of the weight of moisture to the weight of dry solid present after the completion of the drying process.

Symbol: X_f(Falling)

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Final Moisture Content for Falling Rate Period

The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function.

Syntax: ln(Number)

Other Formulas to find Dry Weight of Solid

Go Dry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period

W S = \frac{t c \cdot A \cdot N c}{X i(Constant) - X c}

Go Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period

W S = \frac{t c \cdot A \cdot N c}{X i(Constant) - X f(Constant)}

Other formulas in Drying from Initial to Final Moisture category

Go Total Drying Time based on Constant Drying Time and Falling Drying Time

t = t c + t f

Go Constant Drying Time from Initial to Critical Moisture Content

t c = W S \cdot \frac{(X i(Constant) - X c)}{(A \cdot N c)}

How to Evaluate Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period?

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period evaluator uses Dry Weight of Solid = (Drying Surface Area*Falling Rate Drying Time)/(((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/Rate of Constant Drying Period)*(ln((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content)))) to evaluate the Dry Weight of Solid, The Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period formula is defined as the dry weight of solids present in the system based on drying from initial to final moisture content for the specified drying conditions. Dry Weight of Solid is denoted by W_S symbol.

How to evaluate Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period using this online evaluator? To use this online evaluator for Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period, enter Drying Surface Area (A), Falling Rate Drying Time (t_f), Initial Moisture Content for Falling Rate Period (X_i(Falling)), Equilibrium Moisture Content (X_Eq), Rate of Constant Drying Period (N_c) & Final Moisture Content for Falling Rate Period (X_f(Falling)) and hit the calculate button.

FAQs on Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period

What is the formula to find Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period?

The formula of Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period is expressed as Dry Weight of Solid = (Drying Surface Area*Falling Rate Drying Time)/(((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/Rate of Constant Drying Period)*(ln((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content)))). Here is an example- 122.9264 = (0.1*37)/(((0.1-0.05)/2)*(ln((0.1-0.05)/(0.065-0.05)))).

How to calculate Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period?

With Drying Surface Area (A), Falling Rate Drying Time (t_f), Initial Moisture Content for Falling Rate Period (X_i(Falling)), Equilibrium Moisture Content (X_Eq), Rate of Constant Drying Period (N_c) & Final Moisture Content for Falling Rate Period (X_f(Falling)) we can find Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period using the formula - Dry Weight of Solid = (Drying Surface Area*Falling Rate Drying Time)/(((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/Rate of Constant Drying Period)*(ln((Initial Moisture Content for Falling Rate Period-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content)))). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Dry Weight of Solid?

Here are the different ways to Calculate Dry Weight of Solid-

Dry Weight of Solid=(Constant Rate Drying Time*Drying Surface Area*Rate of Constant Drying Period)/(Initial Moisture Content for Constant Rate Period-Critical Moisture Content)
Dry Weight of Solid=(Constant Rate Drying Time*Drying Surface Area*Rate of Constant Drying Period)/(Initial Moisture Content for Constant Rate Period-Final Moisture Content for Constant Rate Period)
Dry Weight of Solid=(Drying Surface Area*Falling Rate Drying Time)/(((Critical Moisture Content-Equilibrium Moisture Content)/Rate of Constant Drying Period)*(ln((Critical Moisture Content-Equilibrium Moisture Content)/(Final Moisture Content for Falling Rate Period-Equilibrium Moisture Content))))

Can the Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period be negative?

No, the Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period, measured in Weight cannot be negative.

Which unit is used to measure Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period?

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Formula

​GoDry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period Formula

​GoDry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period Formula

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Example

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Solution

Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period Formula Elements

Other Formulas to find Dry Weight of Solid

Other formulas in Drying from Initial to Final Moisture category

How to Evaluate Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period?

FAQs on Dry Weight of Solid based on Initial to Final Moisture Content for Falling Rate Period

Variable Name

GoDry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period Formula

GoDry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period Formula