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

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Important Formulas in Drying Mass Transfer Operation
Moisture Content
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Weight of Moisture
Drying from Initial to Critical Moisture
Drying from Initial to Final Moisture
✖The Constant Rate Drying Time is the time taken for drying operation in the constant rate period.ⓘ Constant Rate Drying Time [tc]
+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 [Nc]
+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 [Xi(Constant)]
+10%
-10%
✖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.ⓘ Critical Moisture Content [Xc]
+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 Critical Moisture Content for Constant Rate Period [WS]
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Dry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period

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

Example
`"100kg"=("190s"*"0.1m²"*"2kg/s/m²")/("0.49"-"0.11")`

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Dry Weight of Solid from Initial to Critical 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-Critical Moisture Content)
WS = (tc*A*Nc)/(Xi(Constant)-Xc)
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.
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
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
Critical Moisture Content: 0.11 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
WS = (tc*A*Nc)/(Xi(Constant)-Xc) --> (190*0.1*2)/(0.49-0.11)
Evaluating ... ...
WS = 100
STEP 3: Convert Result to Output's Unit
100 Kilogram --> No Conversion Required
FINAL ANSWER
100 Kilogram <-- Dry Weight of Solid
(Calculation completed in 00.022 seconds)
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11 Drying from Initial to Critical Moisture Calculators

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

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

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)
WS = (tc*A*Nc)/(Xi(Constant)-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 Dry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period?

Dry Weight of Solid from Initial to Critical 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-Critical Moisture Content) to calculate the Dry Weight of Solid, The Dry Weight of Solid from Initial to Critical 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 critical 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 WS symbol.

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

FAQ

What is Dry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period?
The Dry Weight of Solid from Initial to Critical 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 critical moisture content based on the rate of drying, surface area and drying time required in constant drying period and is represented as WS = (tc*A*Nc)/(Xi(Constant)-Xc) or 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). 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 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 Dry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period?
The Dry Weight of Solid from Initial to Critical 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 critical 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-Critical Moisture Content). To calculate Dry Weight of Solid from Initial to Critical Moisture Content for Constant Rate Period, you need Constant Rate Drying Time (tc), Drying Surface Area (A), Rate of Constant Drying Period (Nc), Initial Moisture Content for Constant Rate Period (Xi(Constant)) & Critical Moisture Content (Xc). 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 & 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 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 & Critical Moisture Content. 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-Final Moisture Content for Constant Rate Period)
  • 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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