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

✖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 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 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 [N_c]			+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 Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation.ⓘ Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period [W_S]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
W_S = (t_c*A*N_c)/(X_i(Constant)-X_f(Constant))
This formula uses 6 Variables

Variables Used

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.
Constant Rate Drying Time - (Measured in Second) - The Constant Rate Drying Time is the time taken for drying operation in the constant rate period.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Constant Rate Drying Time: 190 Second --> 190 Second No Conversion Required
Drying Surface Area: 0.1 Square Meter --> 0.1 Square Meter No Conversion Required
Rate of Constant Drying Period: 2 Kilogram per Second per Square Meter --> 2 Kilogram per Second per Square Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_S = (t_c*A*N_c)/(X_i(Constant)-X_f(Constant)) --> (190*0.1*2)/(0.49-0.15)

Evaluating ... ...

W_S = 111.764705882353

STEP 3: Convert Result to Output's Unit

111.764705882353 Kilogram --> No Conversion Required

FINAL ANSWER

111.764705882353 ≈ 111.7647 Kilogram <-- Dry Weight of Solid

(Calculation completed in 00.020 seconds)

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Home » Engineering » Chemical Engineering » Mass Transfer Operations » Drying » Constant Rate Period Drying » Drying from Initial to Final Moisture » Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period

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< Drying from Initial to Final Moisture Calculators

Rate of Constant Drying Period based on Final Moisture Content

LaTeX 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

LaTeX 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)

Rate of Constant Drying Period based on Final Weight of Moisture

LaTeX 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

LaTeX 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)

< Important Formulas in Drying Mass Transfer Operation Calculators

Constant Drying Time from Initial to Critical Moisture Content

LaTeX 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))

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

LaTeX 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)

Constant Drying Time from Initial to Critical Weight of Moisture

LaTeX 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

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

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

LaTeX Go

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

Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period calculator uses 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) to calculate the Dry Weight of Solid, The Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period formula is defined as the amount of dry weight of solid present in the drying system for drying from initial to final moisture content based on the rate of drying, surface area and drying time required in constant drying period. Dry Weight of Solid is denoted by W_S symbol.

How to calculate Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period using this online calculator? To use this online calculator for Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period, enter Constant Rate Drying Time (t_c), Drying Surface Area (A), Rate of Constant Drying Period (N_c), Initial Moisture Content for Constant Rate Period (X_i(Constant)) & Final Moisture Content for Constant Rate Period (X_f(Constant)) and hit the calculate button. Here is how the Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period calculation can be explained with given input values -> 111.7647 = (190*0.1*2)/(0.49-0.15).

FAQ

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

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

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

The Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period formula is defined as the amount of dry weight of solid present in the drying system for drying from initial to final moisture content based on the rate of drying, surface area and drying time required in constant drying period is calculated using 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). To calculate Dry Weight of Solid from Initial to Final Moisture Content for Constant Rate Period, you need Constant Rate Drying Time (t_c), Drying Surface Area (A), Rate of Constant Drying Period (N_c), Initial Moisture Content for Constant Rate Period (X_i(Constant)) & Final Moisture Content for Constant Rate Period (X_f(Constant)). With our tool, you need to enter the respective value for 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 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 Dry Weight of Solid?

In this formula, Dry Weight of Solid uses 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = (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))))
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))))

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