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

STEP 0: Pre-Calculation Summary
Formula Used
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
Xi(Constant) = ((A*tc*Nc)/WS)+Xc
This formula uses 6 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
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
Rate of Constant Drying Period: 2 Kilogram per Second per Square Meter --> 2 Kilogram per Second per Square Meter No Conversion Required
Dry Weight of Solid: 100 Kilogram --> 100 Kilogram No Conversion Required
Critical Moisture Content: 0.11 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Xi(Constant) = ((A*tc*Nc)/WS)+Xc --> ((0.1*190*2)/100)+0.11
Evaluating ... ...
Xi(Constant) = 0.49
STEP 3: Convert Result to Output's Unit
0.49 --> No Conversion Required
FINAL ANSWER
0.49 <-- Initial Moisture Content for Constant Rate Period
(Calculation completed in 00.006 seconds)

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Drying from Initial to Critical Moisture 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))
Rate of Constant Drying Period based on Critical Moisture Content
​ LaTeX ​ 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)
Rate of Constant Drying Period based on Critical Weight of Moisture
​ LaTeX ​ Go Rate of Constant Drying Period = (Initial Weight of Moisture for Constant Rate-Critical Weight of Moisture)/(Drying Surface Area*Constant Rate Drying Time)
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)

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

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

​LaTeX ​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
Xi(Constant) = ((A*tc*Nc)/WS)+Xc

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

Initial Moisture Content based on Critical Moisture Content for Constant Rate Period calculator uses 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 to calculate the Initial Moisture Content for Constant Rate Period, The Initial Moisture Content based on Critical Moisture Content for Constant Rate Period formula is defined as the Initial Moisture Content present based on the specific drying conditions for the constant rate drying period with Critical Moisture Content. Initial Moisture Content for Constant Rate Period is denoted by Xi(Constant) symbol.

How to calculate Initial Moisture Content based on Critical Moisture Content for Constant Rate Period using this online calculator? To use this online calculator for Initial Moisture Content based on Critical Moisture Content for Constant Rate Period, enter Drying Surface Area (A), Constant Rate Drying Time (tc), Rate of Constant Drying Period (Nc), Dry Weight of Solid (WS) & Critical Moisture Content (Xc) and hit the calculate button. Here is how the Initial Moisture Content based on Critical Moisture Content for Constant Rate Period calculation can be explained with given input values -> 0.49 = ((0.1*190*2)/100)+0.11.

FAQ

What is Initial Moisture Content based on Critical Moisture Content for Constant Rate Period?
The Initial Moisture Content based on Critical Moisture Content for Constant Rate Period formula is defined as the Initial Moisture Content present based on the specific drying conditions for the constant rate drying period with Critical Moisture Content and is represented as Xi(Constant) = ((A*tc*Nc)/WS)+Xc or 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. 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, 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 Dry Weight of Solid is the weight of dry solid present in the system in the drying mass transfer operation & 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.
How to calculate Initial Moisture Content based on Critical Moisture Content for Constant Rate Period?
The Initial Moisture Content based on Critical Moisture Content for Constant Rate Period formula is defined as the Initial Moisture Content present based on the specific drying conditions for the constant rate drying period with Critical Moisture Content is calculated using 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. To calculate Initial Moisture Content based on Critical Moisture Content for Constant Rate Period, you need Drying Surface Area (A), Constant Rate Drying Time (tc), Rate of Constant Drying Period (Nc), Dry Weight of Solid (WS) & Critical Moisture Content (Xc). With our tool, you need to enter the respective value for Drying Surface Area, Constant Rate Drying Time, Rate of Constant Drying Period, Dry Weight of Solid & Critical Moisture Content 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 Initial Moisture Content for Constant Rate Period?
In this formula, Initial Moisture Content for Constant Rate Period uses Drying Surface Area, Constant Rate Drying Time, Rate of Constant Drying Period, Dry Weight of Solid & Critical Moisture Content. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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
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