Equilibrium Conversion of Reaction at Final Temperature Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
K2 = K1*exp(-(ΔHr/[R])*(1/T2-1/T1))
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
exp - Exponential function, exp(Number)
Variables Used
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.
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.
Final Temperature for Equilibrium Conversion - (Measured in Kelvin) - Final Temperature for Equilibrium Conversion is the temperature attained by the reactant at the end stage.
Initial Temperature for Equilibrium Conversion - (Measured in Kelvin) - Initial Temperature for Equilibrium Conversion is the temperature attained by the reactant at the starting stage.
STEP 1: Convert Input(s) to Base Unit
Thermodynamic Constant at Initial Temperature: 0.6 --> No Conversion Required
Heat of Reaction per Mole: -955 Joule Per Mole --> -955 Joule Per Mole No Conversion Required
Final Temperature for Equilibrium Conversion: 368 Kelvin --> 368 Kelvin No Conversion Required
Initial Temperature for Equilibrium Conversion: 436 Kelvin --> 436 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K2 = K1*exp(-(ΔHr/[R])*(1/T2-1/T1)) --> 0.6*exp(-((-955)/[R])*(1/368-1/436))
Evaluating ... ...
K2 = 0.629930121794015
STEP 3: Convert Result to Output's Unit
0.629930121794015 --> No Conversion Required
FINAL ANSWER
0.629930121794015 0.62993 <-- Thermodynamic Constant at Final Temperature
(Calculation completed in 00.020 seconds)

Credits

Created by Pavan Kumar
Anurag Group of Institutions (AGI), Hyderabad
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DJ Sanghvi College of Engineering (DJSCE), Mumbai
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9 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)))
Initial Temperature for Equilibrium Conversion
Go Initial Temperature for Equilibrium Conversion = (-(Heat of Reaction per Mole)*Final Temperature for Equilibrium Conversion)/(-(Heat of Reaction per Mole)-(ln(Thermodynamic Constant at Final Temperature/Thermodynamic Constant at Initial Temperature)*[R]*Final Temperature for Equilibrium Conversion))
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 Initial Temperature
Go Thermodynamic Constant at Initial Temperature = Thermodynamic Constant at Final Temperature/exp(-(Heat of Reaction per Mole/[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 Adiabatic Conditions
Go Reactant Conversion = ((Mean Specific Heat of Unreacted Stream*Change in Temperature)-Total Heat)/(-Heat of Reaction per Mole at Temperature T2)
Non Adiabatic 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)

Equilibrium Conversion of Reaction at Final Temperature Formula

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))
K2 = K1*exp(-(ΔHr/[R])*(1/T2-1/T1))

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 Equilibrium Conversion of Reaction at Final Temperature?

Equilibrium Conversion of Reaction at Final Temperature calculator uses 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)) to calculate the Thermodynamic Constant at Final Temperature, The Equilibrium Conversion of Reaction at Final Temperature formula is defined as thermodynamic equilibrium attained in the reaction, when there is change in the temperature. Thermodynamic Constant at Final Temperature is denoted by K2 symbol.

How to calculate Equilibrium Conversion of Reaction at Final Temperature using this online calculator? To use this online calculator for Equilibrium Conversion of Reaction at Final Temperature, enter Thermodynamic Constant at Initial Temperature (K1), Heat of Reaction per Mole (ΔHr), Final Temperature for Equilibrium Conversion (T2) & Initial Temperature for Equilibrium Conversion (T1) and hit the calculate button. Here is how the Equilibrium Conversion of Reaction at Final Temperature calculation can be explained with given input values -> 0.632015 = 0.6*exp(-((-955)/[R])*(1/368-1/436)).

FAQ

What is Equilibrium Conversion of Reaction at Final Temperature?
The Equilibrium Conversion of Reaction at Final Temperature formula is defined as thermodynamic equilibrium attained in the reaction, when there is change in the temperature and is represented as K2 = K1*exp(-(ΔHr/[R])*(1/T2-1/T1)) or 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)). Thermodynamic Constant at Initial Temperature is the equilibrium constant attained at initial temperature of the reactant, 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, Final Temperature for Equilibrium Conversion is the temperature attained by the reactant at the end stage & Initial Temperature for Equilibrium Conversion is the temperature attained by the reactant at the starting stage.
How to calculate Equilibrium Conversion of Reaction at Final Temperature?
The Equilibrium Conversion of Reaction at Final Temperature formula is defined as thermodynamic equilibrium attained in the reaction, when there is change in the temperature is calculated using 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)). To calculate Equilibrium Conversion of Reaction at Final Temperature, you need Thermodynamic Constant at Initial Temperature (K1), Heat of Reaction per Mole (ΔHr), Final Temperature for Equilibrium Conversion (T2) & Initial Temperature for Equilibrium Conversion (T1). With our tool, you need to enter the respective value for Thermodynamic Constant at Initial Temperature, Heat of Reaction per Mole, Final Temperature for Equilibrium Conversion & Initial Temperature for Equilibrium Conversion 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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