Rate of Constant Drying Period based on Final Moisture Content Calculator

✖The Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation.ⓘ Dry Weight of Solid [W_S]			+10% -10%
✖The Initial Moisture Content for Constant 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.ⓘ Initial Moisture Content for Constant Rate Period [X_i(Constant)]			+10% -10%
✖The Final Moisture Content for Constant 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.ⓘ Final Moisture Content for Constant Rate Period [X_f(Constant)]			+10% -10%
✖The Drying Surface Area is the total area in the drying mass transfer operation i.e. exposed in contact with the drying medium.ⓘ Drying Surface Area [A]			+10% -10%
✖The Constant Rate Drying Time is the time taken for drying operation in the constant rate period.ⓘ Constant Rate Drying Time [t_c]			+10% -10%

✖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.ⓘ Rate of Constant Drying Period based on Final Moisture Content [N_c]

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Formula

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Rate of Constant Drying Period based on Final Moisture Content

Formula

`"N"_{"c"} = "W"_{"S"}*("X"_{"i(Constant)"}-"X"_{"f(Constant)"})/("A"*"t"_{"c"})`

Example

`"1.789474kg/s/m²"="100kg"*("0.49"-"0.15")/("0.1m²"*"190s")`

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Rate of Constant Drying Period based on Final Moisture Content Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Constant Drying Period = Dry Weight of Solid*(Initial Moisture Content for Constant Rate Period-Final Moisture Content for Constant Rate Period)/(Drying Surface Area*Constant Rate Drying Time)
N_c = W_S*(X_i(Constant)-X_f(Constant))/(A*t_c)
This formula uses 6 Variables

Variables Used

Rate of Constant Drying Period - (Measured in Kilogram per Second per Square Meter) - 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.
Dry Weight of Solid - (Measured in Kilogram) - The Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation.
Initial Moisture Content for Constant Rate Period - The Initial Moisture Content for Constant 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.
Final Moisture Content for Constant Rate Period - The Final Moisture Content for Constant 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.
Drying Surface Area - (Measured in Square Meter) - The Drying Surface Area is the total area in the drying mass transfer operation i.e. exposed in contact with the drying medium.
Constant Rate Drying Time - (Measured in Second) - The Constant Rate Drying Time is the time taken for drying operation in the constant rate period.

STEP 1: Convert Input(s) to Base Unit

Dry Weight of Solid: 100 Kilogram --> 100 Kilogram No Conversion Required
Initial Moisture Content for Constant Rate Period: 0.49 --> No Conversion Required
Final Moisture Content for Constant Rate Period: 0.15 --> No Conversion Required
Drying Surface Area: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required
Constant Rate Drying Time: 190 Second --> 190 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_c = W_S*(X_i(Constant)-X_f(Constant))/(A*t_c) --> 100*(0.49-0.15)/(0.1*190)

Evaluating ... ...

N_c = 1.78947368421053

STEP 3: Convert Result to Output's Unit

1.78947368421053 Kilogram per Second per Square Meter --> No Conversion Required

FINAL ANSWER

1.78947368421053 ≈ 1.789474 Kilogram per Second per Square Meter <-- Rate of Constant Drying Period

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Drying » Constant Rate Period Drying » Drying from Initial to Final Moisture » Rate of Constant Drying Period based on Final Moisture Content

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< 11 Drying from Initial to Final Moisture Calculators

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

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

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

Go 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)

Initial Moisture Content based on Final Moisture Content for Constant Rate Period

Go Initial Moisture Content for Constant Rate Period = ((Drying Surface Area*Constant Rate Drying Time*Rate of Constant Drying Period)/Dry Weight of Solid)+Final Moisture Content for Constant Rate Period

Final Moisture Content based on Initial Moisture Content for Constant Rate Period

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

Rate of Constant Drying Period based on Final Moisture Content

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

Constant Drying Time from Initial to Final Moisture Content

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

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

Go Drying Surface Area = (Initial Weight of Moisture for Constant Rate-Final Weight of Moisture for Constant Rate Period)/(Constant Rate Drying Time*Rate of Constant Drying Period)

Rate of Constant Drying Period based on Final Weight of Moisture

Go Rate of Constant Drying Period = (Initial Weight of Moisture for Constant Rate-Final Weight of Moisture for Constant Rate Period)/(Drying Surface Area*Constant Rate Drying Time)

Constant Drying Time from Initial to Final Weight of Moisture

Go Constant Rate Drying Time = (Initial Weight of Moisture for Constant Rate-Final Weight of Moisture for Constant Rate Period)/(Drying Surface Area*Rate of Constant Drying Period)

Initial Weight of Moisture based on Final Weight of Moisture for Constant Rate Period

Go Initial Weight of Moisture for Constant Rate = (Drying Surface Area*Constant Rate Drying Time*Rate of Constant Drying Period)+Final Weight of Moisture for Constant Rate Period

Final Weight of Moisture based on Initial Weight of Moisture for Constant Rate Period

Go Final Weight of Moisture for Constant Rate Period = Initial Weight of Moisture for Constant Rate-(Drying Surface Area*Constant Rate Drying Time*Rate of Constant Drying Period)

< 25 Important Formulas in Drying Mass Transfer Operation Calculators

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

Go 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))))

Final Moisture Content based on Critical to Final Moisture Content for Falling Rate Period

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

Rate of Constant Drying Period based on Critical to Final Moisture Content for Falling Rate Period

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

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

Go Drying Surface Area = (Dry Weight of Solid/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)))

Falling Rate Drying Time from Critical to Final Moisture

Go 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)))

Rate of Constant Drying Period based on Critical to Final Weight of Moisture for Falling Rate Period

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

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

Go Drying Surface Area = ((Critical Weight of Moisture-Equilibrium Weight of Moisture)/(Falling Rate Drying Time*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)))

Falling Rate Drying Time from Critical to Final Weight of Moisture

Go 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)))

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

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

Final Moisture Content based on Initial Moisture Content for Constant Rate Period

Initial Moisture Content based on Final Moisture Content for Constant Rate Period

Rate of Constant Drying Period based on Final Moisture Content

Constant Drying Time from Initial to Final Moisture Content

Constant Drying Time from Initial to Critical Moisture Content

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

Drying Surface Area based on Initial to Critical Moisture Content for Constant Rate Period

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

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

Go 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)

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

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

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

Go Initial Moisture Content for Constant Rate Period = ((Drying Surface Area*Constant Rate Drying Time*Rate of Constant Drying Period)/Dry Weight of Solid)+Critical Moisture Content

Rate of Constant Drying Period based on Critical Moisture Content

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

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

Go Drying Surface Area = (Initial Weight of Moisture for Constant Rate-Final Weight of Moisture for Constant Rate Period)/(Constant Rate Drying Time*Rate of Constant Drying Period)

Constant Drying Time from Initial to Final Weight of Moisture

Go Constant Rate Drying Time = (Initial Weight of Moisture for Constant Rate-Final Weight of Moisture for Constant Rate Period)/(Drying Surface Area*Rate of Constant Drying Period)

Drying Surface Area based on Initial to Critical Weight of Moisture for Constant Rate Period

Go Drying Surface Area = (Initial Weight of Moisture for Constant Rate-Critical Weight of Moisture)/(Constant Rate Drying Time*Rate of Constant Drying Period)

Constant Drying Time from Initial to Critical Weight of Moisture

Go Constant Rate Drying Time = (Initial Weight of Moisture for Constant Rate-Critical Weight of Moisture)/(Drying Surface Area*Rate of Constant Drying Period)

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

Go Total Drying Time = Constant Rate Drying Time+Falling Rate Drying Time

Rate of Constant Drying Period based on Final Moisture Content Formula

What is Constant Rate Drying Period?

The constant rate drying period is a stage in the drying process where the rate of moisture removal from the material is constant and is determined by the drying conditions, such as temperature, humidity, and airflow. During this period, the moisture on the surface of the material is rapidly removed, resulting in a steep decline in the moisture content of the material.

How to Calculate Rate of Constant Drying Period based on Final Moisture Content?

Rate of Constant Drying Period based on Final Moisture Content calculator uses Rate of Constant Drying Period = Dry Weight of Solid*(Initial Moisture Content for Constant Rate Period-Final Moisture Content for Constant Rate Period)/(Drying Surface Area*Constant Rate Drying Time) to calculate the Rate of Constant Drying Period, The Rate of Constant Drying Period based on Final Moisture Content formula is defined as the rate of drying in the constant rate period based on the specific drying conditions for drying from initial to final moisture content. Rate of Constant Drying Period is denoted by N_c symbol.

How to calculate Rate of Constant Drying Period based on Final Moisture Content using this online calculator? To use this online calculator for Rate of Constant Drying Period based on Final Moisture Content, enter Dry Weight of Solid (W_S), Initial Moisture Content for Constant Rate Period (X_i(Constant)), Final Moisture Content for Constant Rate Period (X_f(Constant)), Drying Surface Area (A) & Constant Rate Drying Time (t_c) and hit the calculate button. Here is how the Rate of Constant Drying Period based on Final Moisture Content calculation can be explained with given input values -> 1.789474 = 100*(0.49-0.15)/(0.1*190).

FAQ

What is Rate of Constant Drying Period based on Final Moisture Content?

The Rate of Constant Drying Period based on Final Moisture Content formula is defined as the rate of drying in the constant rate period based on the specific drying conditions for drying from initial to final moisture content and is represented as N_c = W_S*(X_i(Constant)-X_f(Constant))/(A*t_c) or Rate of Constant Drying Period = Dry Weight of Solid*(Initial Moisture Content for Constant Rate Period-Final Moisture Content for Constant Rate Period)/(Drying Surface Area*Constant Rate Drying Time). The Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation, The Initial Moisture Content for Constant 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, The Final Moisture Content for Constant 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, The Drying Surface Area is the total area in the drying mass transfer operation i.e. exposed in contact with the drying medium & The Constant Rate Drying Time is the time taken for drying operation in the constant rate period.

How to calculate Rate of Constant Drying Period based on Final Moisture Content?

The Rate of Constant Drying Period based on Final Moisture Content formula is defined as the rate of drying in the constant rate period based on the specific drying conditions for drying from initial to final moisture content is calculated using Rate of Constant Drying Period = Dry Weight of Solid*(Initial Moisture Content for Constant Rate Period-Final Moisture Content for Constant Rate Period)/(Drying Surface Area*Constant Rate Drying Time). To calculate Rate of Constant Drying Period based on Final Moisture Content, you need Dry Weight of Solid (W_S), Initial Moisture Content for Constant Rate Period (X_i(Constant)), Final Moisture Content for Constant Rate Period (X_f(Constant)), Drying Surface Area (A) & Constant Rate Drying Time (t_c). With our tool, you need to enter the respective value for Dry Weight of Solid, Initial Moisture Content for Constant Rate Period, Final Moisture Content for Constant Rate Period, Drying Surface Area & Constant Rate Drying Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rate of Constant Drying Period?

In this formula, Rate of Constant Drying Period uses Dry Weight of Solid, Initial Moisture Content for Constant Rate Period, Final Moisture Content for Constant Rate Period, Drying Surface Area & Constant Rate Drying Time. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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