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

STEP 0: Pre-Calculation Summary
Formula Used
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)
A = (Mi(Constant)-Mf(Constant))/(tc*Nc)
This formula uses 5 Variables
Variables Used
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.
Initial Weight of Moisture for Constant Rate - (Measured in Kilogram) - The Initial Weight of Moisture for Constant Rate Period is the amount of moisture in kg present in the wet solid initially for drying operation.
Final Weight of Moisture for Constant Rate Period - (Measured in Kilogram) - The Final Weight of Moisture for Constant Rate Period is the amount of moisture in kg present in the solid after the completion of drying 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.
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.
STEP 1: Convert Input(s) to Base Unit
Initial Weight of Moisture for Constant Rate: 49 Kilogram --> 49 Kilogram No Conversion Required
Final Weight of Moisture for Constant Rate Period: 15 Kilogram --> 15 Kilogram 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (Mi(Constant)-Mf(Constant))/(tc*Nc) --> (49-15)/(190*2)
Evaluating ... ...
A = 0.0894736842105263
STEP 3: Convert Result to Output's Unit
0.0894736842105263 Square Meter --> No Conversion Required
FINAL ANSWER
0.0894736842105263 0.089474 Square Meter <-- Drying Surface Area
(Calculation completed in 00.020 seconds)

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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
​ 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

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

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)
A = (Mi(Constant)-Mf(Constant))/(tc*Nc)

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

Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period calculator uses 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) to calculate the Drying Surface Area, The Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period formula is defined as the drying surface area required for drying from initial to final weight of moisture in constant rate drying period. Drying Surface Area is denoted by A symbol.

How to calculate Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period using this online calculator? To use this online calculator for Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period, enter Initial Weight of Moisture for Constant Rate (Mi(Constant)), Final Weight of Moisture for Constant Rate Period (Mf(Constant)), Constant Rate Drying Time (tc) & Rate of Constant Drying Period (Nc) and hit the calculate button. Here is how the Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period calculation can be explained with given input values -> 0.089474 = (49-15)/(190*2).

FAQ

What is Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period?
The Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period formula is defined as the drying surface area required for drying from initial to final weight of moisture in constant rate drying period and is represented as A = (Mi(Constant)-Mf(Constant))/(tc*Nc) or 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). The Initial Weight of Moisture for Constant Rate Period is the amount of moisture in kg present in the wet solid initially for drying operation, The Final Weight of Moisture for Constant Rate Period is the amount of moisture in kg present in the solid after the completion of drying operation, 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.
How to calculate Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period?
The Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period formula is defined as the drying surface area required for drying from initial to final weight of moisture in constant rate drying period is calculated using 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). To calculate Drying Surface Area based on Initial to Final Weight of Moisture for Constant Rate Period, you need Initial Weight of Moisture for Constant Rate (Mi(Constant)), Final Weight of Moisture for Constant Rate Period (Mf(Constant)), Constant Rate Drying Time (tc) & Rate of Constant Drying Period (Nc). With our tool, you need to enter the respective value for Initial Weight of Moisture for Constant Rate, Final Weight of Moisture for Constant Rate Period, Constant Rate Drying Time & Rate of Constant Drying 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 Drying Surface Area?
In this formula, Drying Surface Area uses Initial Weight of Moisture for Constant Rate, Final Weight of Moisture for Constant Rate Period, Constant Rate Drying Time & Rate of Constant Drying Period. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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)
  • Drying Surface Area = (Initial Weight of Moisture for Constant Rate-Critical Weight of Moisture)/(Constant Rate Drying Time*Rate of Constant Drying Period)
  • 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)
  • 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)))
  • 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)))
  • Drying Surface Area = (Dry Weight of Solid/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)))
  • Drying Surface Area = ((Initial Weight of Moisture for Falling Rate Period-Equilibrium Weight of Moisture)/(Falling Rate Drying Time*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)))
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