Final Temperature for Equilibrium Conversion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Final Temperature for Equilibrium Conversion = (-(Heat of Reaction per Mole)*Initial Temperature for Equilibrium Conversion)/((Initial Temperature for Equilibrium Conversion*ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R])+(-(Heat of Reaction per Mole)))
T2 = (-(ΔHr)*T1)/((T1*ln(K2/K1)*[R])+(-(ΔHr)))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324 Joule / Kelvin * Mole
Functions Used
ln - Natural logarithm function (base e), ln(Number)
Variables Used
Final Temperature for Equilibrium Conversion - (Measured in Kelvin) - Final Temperature for Equilibrium Conversion is the Temperature attained by the Reactant at the End Stage.
Heat of Reaction per Mole - (Measured in Joule Per Mole) - The Heat of Reaction per Mole, also known as the enthalpy of reaction, is the heat energy released or absorbed during a chemical reaction at constant pressure.
Initial Temperature for Equilibrium Conversion - (Measured in Kelvin) - Initial Temperature for Equilibrium Conversion is the Temperature attained by the Reactant at the Starting Stage.
Thermodynamic Constant at Final Temperature - Thermodynamic Constant at Final Temperature is the Equilibrium Constant attained at Final Temperature of Reactant.
Thermodynamic Constant at Initial Temperature - Thermodynamic Constant at Initial Temperature is the Equilibrium Constant attained at Initial Temperature of the Reactant.
STEP 1: Convert Input(s) to Base Unit
Heat of Reaction per Mole: -955 Joule Per Mole --> -955 Joule Per Mole No Conversion Required
Initial Temperature for Equilibrium Conversion: 436 Kelvin --> 436 Kelvin No Conversion Required
Thermodynamic Constant at Final Temperature: 0.63 --> No Conversion Required
Thermodynamic Constant at Initial Temperature: 0.6 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T2 = (-(ΔHr)*T1)/((T1*ln(K2/K1)*[R])+(-(ΔHr))) --> (-((-955))*436)/((436*ln(0.63/0.6)*[R])+(-((-955))))
Evaluating ... ...
T2 = 367.869263330085
STEP 3: Convert Result to Output's Unit
367.869263330085 Kelvin --> No Conversion Required
FINAL ANSWER
367.869263330085 367.8693 Kelvin <-- Final Temperature for Equilibrium Conversion
(Calculation completed in 00.004 seconds)

Credits

Created by Pavan Kumar
Anurag Group of Institutions (AGI), Hyderabad
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National Institute of Technology (NIT), Meghalaya
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7 Temperature and Pressure Effects Calculators

Final Temperature for Equilibrium Conversion
Go Final Temperature for Equilibrium Conversion = (-(Heat of Reaction per Mole)*Initial Temperature for Equilibrium Conversion)/((Initial Temperature for Equilibrium Conversion*ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R])+(-(Heat of Reaction per Mole)))
Adiabatic Heat of Equilibrium Conversion
Go Heat of Reaction at Initial Temperature = (-((Mean Specific Heat of Unreacted Stream*Change in Temperature)+((Mean Specific Heat of Product Stream-Mean Specific Heat of Unreacted Stream)*Change in Temperature)*Reactant Conversion)/Reactant Conversion)
Heat of Reaction at Equilibrium Conversion
Go Heat of Reaction per Mole = (-(ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R])/(1/Final Temperature for Equilibrium Conversion-1/Initial Temperature for Equilibrium Conversion))
Equilibrium Conversion of Reaction at Final Temperature
Go Thermodynamic Constant at Final Temperature = Thermodynamic Constant at Initial Temperature*exp(-(Heat of Reaction per Mole/[R])*(1/Final Temperature for Equilibrium Conversion-1/Initial Temperature for Equilibrium Conversion))
Reactant Conversion at Adiabatic Conditions
Go Reactant Conversion = (Mean Specific Heat of Unreacted Stream*Change in Temperature)/(-Heat of Reaction at Initial Temperature-(Mean Specific Heat of Product Stream-Mean Specific Heat of Unreacted Stream)*Change in Temperature)
Reactant Conversion at Non Adiabiatic Conditions
Go Reactant Conversion = ((Mean Specific Heat of Unreacted Stream*Change in Temperature)-Total Heat)/(-Heat of Reaction per Mole at Temperature T2)
Non Adiabiatic Heat of Equilibrium Conversion
Go Total Heat = (Reactant Conversion*Heat of Reaction per Mole at Temperature T2)+(Mean Specific Heat of Unreacted Stream*Change in Temperature)

Final Temperature for Equilibrium Conversion Formula

Final Temperature for Equilibrium Conversion = (-(Heat of Reaction per Mole)*Initial Temperature for Equilibrium Conversion)/((Initial Temperature for Equilibrium Conversion*ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R])+(-(Heat of Reaction per Mole)))
T2 = (-(ΔHr)*T1)/((T1*ln(K2/K1)*[R])+(-(ΔHr)))

What is Equilibrium Conversion?

Equilibrium Conversion is the Conversion attained by the Reactant at the Equilibrium Conditions, at the Initial and Final Temperatures.

What is Heat of Reaction?

The Heat of Reaction (also known and Enthalpy of Reaction) is the change in the enthalpy of a chemical reaction that occurs at a constant pressure. It is a thermodynamic unit of measurement useful for calculating the amount of energy per mole either released or produced in a reaction.

How to Calculate Final Temperature for Equilibrium Conversion?

Final Temperature for Equilibrium Conversion calculator uses Final Temperature for Equilibrium Conversion = (-(Heat of Reaction per Mole)*Initial Temperature for Equilibrium Conversion)/((Initial Temperature for Equilibrium Conversion*ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R])+(-(Heat of Reaction per Mole))) to calculate the Final Temperature for Equilibrium Conversion, The Final Temperature for Equilibrium Conversion formula is defined as Conversion achieved at Equilibrium, based on the Final Temperature. Final Temperature for Equilibrium Conversion is denoted by T2 symbol.

How to calculate Final Temperature for Equilibrium Conversion using this online calculator? To use this online calculator for Final Temperature for Equilibrium Conversion, enter Heat of Reaction per Mole (ΔHr), Initial Temperature for Equilibrium Conversion (T1), Thermodynamic Constant at Final Temperature (K2) & Thermodynamic Constant at Initial Temperature (K1) and hit the calculate button. Here is how the Final Temperature for Equilibrium Conversion calculation can be explained with given input values -> 371.5602 = (-((-955))*436)/((436*ln(0.63/0.6)*[R])+(-((-955)))).

FAQ

What is Final Temperature for Equilibrium Conversion?
The Final Temperature for Equilibrium Conversion formula is defined as Conversion achieved at Equilibrium, based on the Final Temperature and is represented as T2 = (-(ΔHr)*T1)/((T1*ln(K2/K1)*[R])+(-(ΔHr))) or Final Temperature for Equilibrium Conversion = (-(Heat of Reaction per Mole)*Initial Temperature for Equilibrium Conversion)/((Initial Temperature for Equilibrium Conversion*ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R])+(-(Heat of Reaction per Mole))). The Heat of Reaction per Mole, also known as the enthalpy of reaction, is the heat energy released or absorbed during a chemical reaction at constant pressure, Initial Temperature for Equilibrium Conversion is the Temperature attained by the Reactant at the Starting Stage, Thermodynamic Constant at Final Temperature is the Equilibrium Constant attained at Final Temperature of Reactant & Thermodynamic Constant at Initial Temperature is the Equilibrium Constant attained at Initial Temperature of the Reactant.
How to calculate Final Temperature for Equilibrium Conversion?
The Final Temperature for Equilibrium Conversion formula is defined as Conversion achieved at Equilibrium, based on the Final Temperature is calculated using Final Temperature for Equilibrium Conversion = (-(Heat of Reaction per Mole)*Initial Temperature for Equilibrium Conversion)/((Initial Temperature for Equilibrium Conversion*ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R])+(-(Heat of Reaction per Mole))). To calculate Final Temperature for Equilibrium Conversion, you need Heat of Reaction per Mole (ΔHr), Initial Temperature for Equilibrium Conversion (T1), Thermodynamic Constant at Final Temperature (K2) & Thermodynamic Constant at Initial Temperature (K1). With our tool, you need to enter the respective value for Heat of Reaction per Mole, Initial Temperature for Equilibrium Conversion, Thermodynamic Constant at Final Temperature & Thermodynamic Constant at Initial Temperature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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