FormulaDen logo
FormulaDen.com
Search
Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health
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
WS=A⋅tf(Xc-XEqNc)⋅(ln(Xc-XEqXf(Falling)-XEq))
WS - Dry Weight of Solid?A - Drying Surface Area?tf - Falling Rate Drying Time?Xc - Critical Moisture Content?XEq - Equilibrium Moisture Content?Nc - Rate of Constant Drying Period?Xf(Falling) - Final Moisture Content for Falling Rate Period?

Dry Weight of Solid based on Critical 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 Critical to Final Moisture Content for Falling Rate Period equation looks like with Values.

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

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

88.9662Edit=0.1Edit⋅37Edit(0.11Edit-0.05Edit2Edit)⋅(ln(0.11Edit-0.05Edit0.065Edit-0.05Edit))
Solution
Copy
Reset
Share
You are here -
HomeIcon Home » Category Engineering » Category Chemical Engineering » Category Mass Transfer Operations » fx Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period

Dry Weight of Solid based on Critical 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 Critical to Final Moisture Content for Falling Rate Period?

FIRST Step Consider the formula
WS=A⋅tf(Xc-XEqNc)⋅(ln(Xc-XEqXf(Falling)-XEq))
Next Step Substitute values of Variables
∴ WS=0.1m²⋅37s(0.11-0.052kg/s/m²)⋅(ln(0.11-0.050.065-0.05))
Next Step Prepare to Evaluate
∴ WS=0.1⋅37(0.11-0.052)⋅(ln(0.11-0.050.065-0.05))
Next Step Evaluate
∴WS=88.9661941881528kg
LAST Step Rounding Answer
∴WS=88.9662kg

Dry Weight of Solid based on Critical 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: WS
Measurement: WeightUnit: kg
Note: Value should be greater than 0.
Formulas to find Dry Weight of SolidOpen Variable
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 AreaOpen Variable
Falling Rate Drying Time
The Falling rate drying time is the time taken for drying operation in the falling rate period.
Symbol: tf
Measurement: TimeUnit: s
Note: Value should be greater than 0.
Formulas to find Falling Rate Drying TimeOpen Variable
Critical Moisture Content
The Critical Moisture Content is the ratio of amount of moisture present in the solids at the transition of constant and falling rate period to that of the weight of dry solid.
Symbol: Xc
Measurement: NAUnit: Unitless
Note: Value should be less than 1.
Formulas to find Critical Moisture ContentOpen Variable
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: XEq
Measurement: NAUnit: Unitless
Note: Value should be less than 1.
Formulas to find Equilibrium Moisture ContentOpen Variable
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: Nc
Measurement: Mass FluxUnit: kg/s/m²
Note: Value should be greater than 0.
Formulas to find Rate of Constant Drying PeriodOpen Variable
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: Xf(Falling)
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Formulas to find Final Moisture Content for Falling Rate PeriodOpen Variable
ln
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
WS=tc⋅A⋅NcXi(Constant)-Xc
​Go Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period
WS=tc⋅A⋅NcXi(Constant)-Xf(Constant)

Other formulas in Drying from Critical to Final Moisture category

​Go Total Drying Time based on Constant Drying Time and Falling Drying Time
t=tc+tf
​Go Constant Drying Time from Initial to Critical Moisture Content
tc=WS⋅(Xi(Constant)-Xc)(A⋅Nc)

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

Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period evaluator uses 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)))) to evaluate the Dry Weight of Solid, The Dry Weight of Solid based on Critical 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 critical to final moisture content for the specified drying conditions. Dry Weight of Solid is denoted by WS symbol.

How to evaluate Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period using this online evaluator? To use this online evaluator for Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period, enter Drying Surface Area (A), Falling Rate Drying Time (tf), Critical Moisture Content (Xc), Equilibrium Moisture Content (XEq), Rate of Constant Drying Period (Nc) & Final Moisture Content for Falling Rate Period (Xf(Falling)) and hit the calculate button.

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

What is the formula to find Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period?
The formula of Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period is expressed as 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)))). Here is an example- 88.96619 = (0.1*37)/(((0.11-0.05)/2)*(ln((0.11-0.05)/(0.065-0.05)))).
How to calculate Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period?
With Drying Surface Area (A), Falling Rate Drying Time (tf), Critical Moisture Content (Xc), Equilibrium Moisture Content (XEq), Rate of Constant Drying Period (Nc) & Final Moisture Content for Falling Rate Period (Xf(Falling)) we can find Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period using the formula - 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)))). 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)OpenImg
  • 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)OpenImg
  • 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))))OpenImg
Can the Dry Weight of Solid based on Critical to Final Moisture Content for Falling Rate Period be negative?
No, the Dry Weight of Solid based on Critical 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 Critical to Final Moisture Content for Falling Rate Period?
Dry Weight of Solid based on Critical 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 Critical to Final Moisture Content for Falling Rate Period can be measured.
About | Contact | Disclaimer | Terms | Privacy Policy
© 2024. Developed & Maintained by softUsvista Inc.
Copied!