Initial Temperature for Equilibrium Conversion Calculator

✖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.ⓘ Heat of Reaction per Mole [ΔH_r]			+10% -10%
✖Final Temperature for Equilibrium Conversion is the temperature attained by the reactant at the end stage.ⓘ Final Temperature for Equilibrium Conversion [T₂]			+10% -10%
✖Thermodynamic Constant at Final Temperature is the equilibrium constant attained at final temperature of reactant.ⓘ Thermodynamic Constant at Final Temperature [K₂]			+10% -10%
✖Thermodynamic Constant at Initial Temperature is the equilibrium constant attained at initial temperature of the reactant.ⓘ Thermodynamic Constant at Initial Temperature [K₁]			+10% -10%

✖Initial Temperature for Equilibrium Conversion is the temperature attained by the reactant at the starting stage.ⓘ Initial Temperature for Equilibrium Conversion [T₁]

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Formula

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Initial Temperature for Equilibrium Conversion

Formula

`"T"_{"1"} = (-("ΔH"_{"r"})*"T"_{"2"})/(-("ΔH"_{"r"})-(ln("K"_{"2"}/"K"_{"1"})*"[R]"*"T"_{"2"}))`

Example

`"436.1837K"=(-("-955J/mol")*"368K")/(-("-955J/mol")-(ln("0.63"/"0.6")*"[R]"*"368K"))`

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Initial Temperature for Equilibrium Conversion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
T₁ = (-(ΔH_r)*T₂)/(-(ΔH_r)-(ln(K₂/K₁)*[R]*T₂))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

Initial Temperature for Equilibrium Conversion - (Measured in Kelvin) - Initial Temperature for Equilibrium Conversion is the temperature attained by the reactant at the starting 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.
Final Temperature for Equilibrium Conversion - (Measured in Kelvin) - Final Temperature for Equilibrium Conversion is the temperature attained by the reactant at the end 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
Final Temperature for Equilibrium Conversion: 368 Kelvin --> 368 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

T₁ = (-(ΔH_r)*T₂)/(-(ΔH_r)-(ln(K₂/K₁)*[R]*T₂)) --> (-((-955))*368)/(-((-955))-(ln(0.63/0.6)*[R]*368))

Evaluating ... ...

T₁ = 436.183658899533

STEP 3: Convert Result to Output's Unit

436.183658899533 Kelvin --> No Conversion Required

FINAL ANSWER

436.183658899533 ≈ 436.1837 Kelvin <-- Initial Temperature for Equilibrium Conversion

(Calculation completed in 00.020 seconds)

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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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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)

Initial Temperature for Equilibrium Conversion Formula

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 Initial Temperature for Equilibrium Conversion?

Initial Temperature for Equilibrium Conversion calculator uses 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)) to calculate the Initial Temperature for Equilibrium Conversion, The Initial Temperature for Equilibrium Conversion formula is defined as conversion achieved at equilibrium, it is typically associated with a specific initial temperature for a conversion process. Initial Temperature for Equilibrium Conversion is denoted by T₁ symbol.

How to calculate Initial Temperature for Equilibrium Conversion using this online calculator? To use this online calculator for Initial Temperature for Equilibrium Conversion, enter Heat of Reaction per Mole (ΔH_r), Final Temperature for Equilibrium Conversion (T₂), Thermodynamic Constant at Final Temperature (K₂) & Thermodynamic Constant at Initial Temperature (K₁) and hit the calculate button. Here is how the Initial Temperature for Equilibrium Conversion calculation can be explained with given input values -> 431.106 = (-((-955))*368)/(-((-955))-(ln(0.63/0.6)*[R]*368)).

FAQ

What is Initial Temperature for Equilibrium Conversion?

The Initial Temperature for Equilibrium Conversion formula is defined as conversion achieved at equilibrium, it is typically associated with a specific initial temperature for a conversion process and is represented as T₁ = (-(ΔH_r)*T₂)/(-(ΔH_r)-(ln(K₂/K₁)*[R]*T₂)) or 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)). 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, 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 Initial Temperature for Equilibrium Conversion?

The Initial Temperature for Equilibrium Conversion formula is defined as conversion achieved at equilibrium, it is typically associated with a specific initial temperature for a conversion process is calculated using 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)). To calculate Initial Temperature for Equilibrium Conversion, you need Heat of Reaction per Mole (ΔH_r), Final Temperature for Equilibrium Conversion (T₂), 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, Final 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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