Heat of Reaction at Equilibrium Conversion Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
ΔHr = (-(ln(K2/K1)*[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
ln - Natural logarithm function (base e), ln(Number)
Variables Used
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.
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.
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 Final Temperature: 0.63 --> No Conversion Required
Thermodynamic Constant at Initial Temperature: 0.6 --> 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
ΔHr = (-(ln(K2/K1)*[R])/(1/T2-1/T1)) --> (-(ln(0.63/0.6)*[R])/(1/368-1/436))
Evaluating ... ...
ΔHr = -957.176130139857
STEP 3: Convert Result to Output's Unit
-957.176130139857 Joule Per Mole --> No Conversion Required
FINAL ANSWER
-957.176130139857 -957.17613 Joule Per Mole <-- Heat of Reaction per Mole
(Calculation completed in 00.004 seconds)

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Anurag Group of Institutions (AGI), Hyderabad
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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)

Heat of Reaction at Equilibrium Conversion Formula

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))
ΔHr = (-(ln(K2/K1)*[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 Heat of Reaction at Equilibrium Conversion?

Heat of Reaction at Equilibrium Conversion calculator uses 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)) to calculate the Heat of Reaction per Mole, The Heat of Reaction at Equilibrium Conversion formula is defined as the enthalpy change associated with a chemical reaction when it reaches a state of equilibrium. Heat of Reaction per Mole is denoted by ΔHr symbol.

How to calculate Heat of Reaction at Equilibrium Conversion using this online calculator? To use this online calculator for Heat of Reaction at Equilibrium Conversion, enter Thermodynamic Constant at Final Temperature (K2), Thermodynamic Constant at Initial Temperature (K1), Final Temperature for Equilibrium Conversion (T2) & Initial Temperature for Equilibrium Conversion (T1) and hit the calculate button. Here is how the Heat of Reaction at Equilibrium Conversion calculation can be explained with given input values -> -957.17613 = (-(ln(0.63/0.6)*[R])/(1/368-1/436)).

FAQ

What is Heat of Reaction at Equilibrium Conversion?
The Heat of Reaction at Equilibrium Conversion formula is defined as the enthalpy change associated with a chemical reaction when it reaches a state of equilibrium and is represented as ΔHr = (-(ln(K2/K1)*[R])/(1/T2-1/T1)) or 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)). 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, 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 Heat of Reaction at Equilibrium Conversion?
The Heat of Reaction at Equilibrium Conversion formula is defined as the enthalpy change associated with a chemical reaction when it reaches a state of equilibrium is calculated using 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)). To calculate Heat of Reaction at Equilibrium Conversion, you need Thermodynamic Constant at Final Temperature (K2), Thermodynamic Constant at Initial Temperature (K1), 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 Final Temperature, Thermodynamic Constant at Initial Temperature, 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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