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

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The Final Weight of Moisture for Falling Rate Period is the amount of moisture in kg present in the solid after the completion of drying operation. Check FAQs

M f(Falling) = (\frac{M i(Falling) - M Eq}{\exp (\frac{A \cdot t f \cdot N c}{M i(Falling) - M Eq})}) + M Eq

M_f(Falling) - Final Weight of Moisture for Falling Rate Period?M_i(Falling) - Initial Weight of Moisture for Falling Rate Period?M_Eq - Equilibrium Weight of Moisture?A - Drying Surface Area?t_f - Falling Rate Drying Time?N_c - Rate of Constant Drying Period?

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

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

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

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

6.1382 = (\frac{10 - 5}{\exp (\frac{0.1 \cdot 37 \cdot 2}{10 - 5})}) + 5

6.1382kg = (\frac{10kg - 5kg}{\exp (\frac{0.1m² \cdot 37s \cdot 2kg/s/m²}{10kg - 5kg})}) + 5kg

6.1382 = (\frac{10 - 5}{\exp (\frac{0.1 \cdot 37 \cdot 2}{10 - 5})}) + 5

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

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

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

FIRST Step Consider the formula

M f(Falling) = (\frac{M i(Falling) - M Eq}{\exp (\frac{A \cdot t f \cdot N c}{M i(Falling) - M Eq})}) + M Eq

Next Step Substitute values of Variables

∴

M f(Falling) = (\frac{10kg - 5kg}{\exp (\frac{0.1m² \cdot 37s \cdot 2kg/s/m²}{10kg - 5kg})}) + 5kg

Next Step Prepare to Evaluate

∴

M f(Falling) = (\frac{10 - 5}{\exp (\frac{0.1 \cdot 37 \cdot 2}{10 - 5})}) + 5

Next Step Evaluate

∴

M f(Falling) = 6.13818844191906kg

LAST Step Rounding Answer

∴

M f(Falling) = 6.1382kg

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

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Final Weight of Moisture for Falling Rate Period

The Final Weight of Moisture for Falling Rate Period is the amount of moisture in kg present in the solid after the completion of drying operation.

Symbol: M_f(Falling)

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Final Weight of Moisture for Falling Rate Period

Initial Weight of Moisture for Falling Rate Period

The Initial Weight of Moisture for Falling Rate Period is the amount of moisture in kg present in the wet solid initially for drying operation.

Symbol: M_i(Falling)

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Initial Weight of Moisture for Falling Rate Period

Equilibrium Weight of Moisture

The Equilibrium Weight of Moisture is the amount of moisture in kg present in the solid that is in equilibrium with the solid for the given drying conditions.

Symbol: M_Eq

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Equilibrium Weight of Moisture

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

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

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Drying from Initial to Final Moisture category

Go Falling Rate Drying Time from Initial to Final Moisture

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

Go Falling Rate Drying Time from Initial to Final Weight of Moisture

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

Go Drying Surface Area based on Initial to Final Moisture Content for Falling Rate Period

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

Go Drying Surface Area based on Initial to Final Weight of Moisture for Falling Rate Period

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

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

Final Weight of Moisture based on Initial to Final Weight of Moisture for Falling Rate Period evaluator uses Final Weight of Moisture for Falling Rate Period = ((Initial Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture)/(exp((Drying Surface Area*Falling Rate Drying Time*Rate of Constant Drying Period)/(Initial Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture))))+Equilibrium Weight of Moisture to evaluate the Final Weight of Moisture for Falling Rate Period, The Final Weight of Moisture based on Initial to Final Weight of Moisture for Falling Rate Period formula is defined as the final moisture content that can be attained from the specified initial moisture content based on the drying conditions in falling rate period. Final Weight of Moisture for Falling Rate Period is denoted by M_f(Falling) symbol.

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

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

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

The formula of Final Weight of Moisture based on Initial to Final Weight of Moisture for Falling Rate Period is expressed as Final Weight of Moisture for Falling Rate Period = ((Initial Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture)/(exp((Drying Surface Area*Falling Rate Drying Time*Rate of Constant Drying Period)/(Initial Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture))))+Equilibrium Weight of Moisture. Here is an example- 6.138188 = ((10-5)/(exp((0.1*37*2)/(10-5))))+5.

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

With Initial Weight of Moisture for Falling Rate Period (M_i(Falling)), Equilibrium Weight of Moisture (M_Eq), Drying Surface Area (A), Falling Rate Drying Time (t_f) & Rate of Constant Drying Period (N_c) we can find Final Weight of Moisture based on Initial to Final Weight of Moisture for Falling Rate Period using the formula - Final Weight of Moisture for Falling Rate Period = ((Initial Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture)/(exp((Drying Surface Area*Falling Rate Drying Time*Rate of Constant Drying Period)/(Initial Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture))))+Equilibrium Weight of Moisture. This formula also uses Exponential Growth (exp) function(s).

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

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

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

Final Weight of Moisture based on Initial to Final Weight of Moisture 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 Final Weight of Moisture based on Initial to Final Weight of Moisture for Falling Rate Period can be measured.

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

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

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

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

Other formulas in Drying from Initial to Final Moisture category

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

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

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