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Falling Rate Drying Time from Critical to Final Weight of Moisture Formula

GoFalling Rate Drying Time from Critical to Final Moisture Formula

GoFalling Rate Drying Time from Initial to Final Moisture Formula

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

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

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

Falling Rate Drying Time from Critical to Final Weight of Moisture Example

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Here is how the Falling Rate Drying Time from Critical to Final Weight of Moisture equation looks like with Values.

Here is how the Falling Rate Drying Time from Critical to Final Weight of Moisture equation looks like with Units.

Here is how the Falling Rate Drying Time from Critical to Final Weight of Moisture equation looks like.

41.5888 = (\frac{11 - 5}{0.1 \cdot 2}) \cdot (\ln (\frac{11 - 5}{6.5 - 5}))

41.5888s = (\frac{11kg - 5kg}{0.1m² \cdot 2kg/s/m²}) \cdot (\ln (\frac{11kg - 5kg}{6.5kg - 5kg}))

41.5888 = (\frac{11 - 5}{0.1 \cdot 2}) \cdot (\ln (\frac{11 - 5}{6.5 - 5}))

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Falling Rate Drying Time from Critical to Final Weight of Moisture Solution

Follow our step by step solution on how to calculate Falling Rate Drying Time from Critical to Final Weight of Moisture?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t f = (\frac{11kg - 5kg}{0.1m² \cdot 2kg/s/m²}) \cdot (\ln (\frac{11kg - 5kg}{6.5kg - 5kg}))

Next Step Prepare to Evaluate

∴

t f = (\frac{11 - 5}{0.1 \cdot 2}) \cdot (\ln (\frac{11 - 5}{6.5 - 5}))

Next Step Evaluate

∴

t f = 41.5888308335967s

LAST Step Rounding Answer

∴

t f = 41.5888s

Falling Rate Drying Time from Critical to Final Weight of Moisture Formula Elements

Variables

Functions

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

Critical Weight of Moisture

The Critical Weight of Moisture is the amount of moisture present in the solid at which the constant rate drying period ends and the falling period starts at the given conditions.

Symbol: M_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Critical Weight of Moisture

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

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 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

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 Falling Rate Drying Time

Go Falling Rate Drying Time from Critical to Final Moisture

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

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}))

Other formulas in Drying from Critical 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)}

Go Constant Drying Time from Initial to Critical Weight of Moisture

t c = \frac{M i(Constant) - M c}{A \cdot N c}

Go Critical Moisture Content based on Initial Moisture Content for Constant Rate Period

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

How to Evaluate Falling Rate Drying Time from Critical to Final Weight of Moisture?

Falling Rate Drying Time from Critical to Final Weight of Moisture evaluator uses Falling Rate Drying Time = ((Critical Weight of Moisture-Equilibrium Weight of Moisture)/(Drying Surface Area*Rate of Constant Drying Period))*(ln((Critical Weight of Moisture-Equilibrium Weight of Moisture)/(Final Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture))) to evaluate the Falling Rate Drying Time, The Falling Rate Drying Time from Critical to Final Weight of Moisture formula is defined as the time taken for drying in the falling rate period based on drying from critical to final weight of moisture for specified drying conditions. Falling Rate Drying Time is denoted by t_f symbol.

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

FAQs on Falling Rate Drying Time from Critical to Final Weight of Moisture

What is the formula to find Falling Rate Drying Time from Critical to Final Weight of Moisture?

The formula of Falling Rate Drying Time from Critical to Final Weight of Moisture is expressed as Falling Rate Drying Time = ((Critical Weight of Moisture-Equilibrium Weight of Moisture)/(Drying Surface Area*Rate of Constant Drying Period))*(ln((Critical Weight of Moisture-Equilibrium Weight of Moisture)/(Final Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture))). Here is an example- 41.58883 = ((11-5)/(0.1*2))*(ln((11-5)/(6.5-5))).

How to calculate Falling Rate Drying Time from Critical to Final Weight of Moisture?

With Critical Weight of Moisture (M_c), Equilibrium Weight of Moisture (M_Eq), Drying Surface Area (A), Rate of Constant Drying Period (N_c) & Final Weight of Moisture for Falling Rate Period (M_f(Falling)) we can find Falling Rate Drying Time from Critical to Final Weight of Moisture using the formula - Falling Rate Drying Time = ((Critical Weight of Moisture-Equilibrium Weight of Moisture)/(Drying Surface Area*Rate of Constant Drying Period))*(ln((Critical Weight of Moisture-Equilibrium Weight of Moisture)/(Final Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture))). This formula also uses Natural Logarithm (ln) function(s).

What are the other ways to Calculate Falling Rate Drying Time?

Here are the different ways to Calculate Falling Rate Drying Time-

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

Can the Falling Rate Drying Time from Critical to Final Weight of Moisture be negative?

No, the Falling Rate Drying Time from Critical to Final Weight of Moisture, measured in Time cannot be negative.

Which unit is used to measure Falling Rate Drying Time from Critical to Final Weight of Moisture?

Falling Rate Drying Time from Critical to Final Weight of Moisture is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Falling Rate Drying Time from Critical to Final Weight of Moisture can be measured.

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Falling Rate Drying Time from Critical to Final Weight of Moisture Formula

​GoFalling Rate Drying Time from Critical to Final Moisture Formula

​GoFalling Rate Drying Time from Initial to Final Moisture Formula

Falling Rate Drying Time from Critical to Final Weight of Moisture Example

Falling Rate Drying Time from Critical to Final Weight of Moisture Solution

Falling Rate Drying Time from Critical to Final Weight of Moisture Formula Elements

Other Formulas to find Falling Rate Drying Time

Other formulas in Drying from Critical to Final Moisture category

How to Evaluate Falling Rate Drying Time from Critical to Final Weight of Moisture?

FAQs on Falling Rate Drying Time from Critical to Final Weight of Moisture

Variable Name

GoFalling Rate Drying Time from Critical to Final Moisture Formula

GoFalling Rate Drying Time from Initial to Final Moisture Formula