Adiabatic Heat of Equilibrium Conversion Calculator

✖Mean Specific Heat of Unreacted Stream is the heat required to raise the temperature of one gram of a substance by one Celsius degree of the unreacted reactant after reaction occurred.ⓘ Mean Specific Heat of Unreacted Stream [C^']			+10% -10%
✖The Change in Temperature is the difference between the initial and final temperature.ⓘ Change in Temperature [∆T]			+10% -10%
✖Mean Specific Heat of Product Stream is the heat required to raise the temperature of one gram of a substance by one Celsius degree, of Product Stream.ⓘ Mean Specific Heat of Product Stream [C^'']			+10% -10%
✖Reactant Conversion gives us the percentage of reactants converted into products, displayed as the percentage as a decimal between 0 and 1.ⓘ Reactant Conversion [X_A]			+10% -10%

✖Heat of Reaction at Initial Temperature is change in enthalpy in chemical reaction at the initial temperature.ⓘ Adiabatic Heat of Equilibrium Conversion [ΔH_r1]

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Formula

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Adiabatic Heat of Equilibrium Conversion

Formula

`"ΔH"_{"r1"} = (-(("C"^{"'"}*"∆T")+(("C"^{"''"}-"C"^{"'"})*"∆T")*"X"_{"A"})/"X"_{"A"})`

Example

`"-886.666667J/mol"=(-(("7.98J/(kg*K)"*"50K")+(("14.63J/(kg*K)"-"7.98J/(kg*K)")*"50K")*"0.72")/"0.72")`

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Adiabatic Heat of Equilibrium Conversion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
ΔH_r1 = (-((C^'*∆T)+((C^''-C^')*∆T)*X_A)/X_A)
This formula uses 5 Variables

Variables Used

Heat of Reaction at Initial Temperature - (Measured in Joule Per Mole) - Heat of Reaction at Initial Temperature is change in enthalpy in chemical reaction at the initial temperature.
Mean Specific Heat of Unreacted Stream - (Measured in Joule per Kilogram per K) - Mean Specific Heat of Unreacted Stream is the heat required to raise the temperature of one gram of a substance by one Celsius degree of the unreacted reactant after reaction occurred.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.
Mean Specific Heat of Product Stream - (Measured in Joule per Kilogram per K) - Mean Specific Heat of Product Stream is the heat required to raise the temperature of one gram of a substance by one Celsius degree, of Product Stream.
Reactant Conversion - Reactant Conversion gives us the percentage of reactants converted into products, displayed as the percentage as a decimal between 0 and 1.

STEP 1: Convert Input(s) to Base Unit

Mean Specific Heat of Unreacted Stream: 7.98 Joule per Kilogram per K --> 7.98 Joule per Kilogram per K No Conversion Required
Change in Temperature: 50 Kelvin --> 50 Kelvin No Conversion Required
Mean Specific Heat of Product Stream: 14.63 Joule per Kilogram per K --> 14.63 Joule per Kilogram per K No Conversion Required
Reactant Conversion: 0.72 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔH_r1 = (-((C^'*∆T)+((C^''-C^')*∆T)*X_A)/X_A) --> (-((7.98*50)+((14.63-7.98)*50)*0.72)/0.72)

Evaluating ... ...

ΔH_r1 = -886.666666666667

STEP 3: Convert Result to Output's Unit

-886.666666666667 Joule Per Mole --> No Conversion Required

FINAL ANSWER

-886.666666666667 ≈ -886.666667 Joule Per Mole <-- Heat of Reaction at Initial Temperature

(Calculation completed in 00.004 seconds)

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Created by Pavan Kumar

Anurag Group of Institutions (AGI), Hyderabad

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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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)

Adiabatic Heat of Equilibrium Conversion Formula

What are Adiabatic Conditions?

Adiabatic conditions refer to conditions under which overall heat transfer across the boundary between the thermodynamic system and the surroundings is absent. Examples of processes proceeding under adiabatic conditions and applied in engineering are expansion and compression of gas in a piston-type machine, the flow of a fluid medium in heat-insulated pipes, channels and nozzles, throttling and setting of turbomachines and distribution of acoustic and shock waves.

What is Specific Heat?

It is the amount of heat that must be added to one unit of mass of the substance in order to cause an increase of one unit in temperature.

How to Calculate Adiabatic Heat of Equilibrium Conversion?

Adiabatic Heat of Equilibrium Conversion calculator uses 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) to calculate the Heat of Reaction at Initial Temperature, Adiabatic Heat of Equilibrium Conversion formula is defined as conversion of reaction achieved at conditions, under which overall heat transfer across the boundary between the thermodynamic system and the surroundings is absent. Heat of Reaction at Initial Temperature is denoted by ΔH_r1 symbol.

How to calculate Adiabatic Heat of Equilibrium Conversion using this online calculator? To use this online calculator for Adiabatic Heat of Equilibrium Conversion, enter Mean Specific Heat of Unreacted Stream (C^'), Change in Temperature (∆T), Mean Specific Heat of Product Stream (C^'') & Reactant Conversion (X_A) and hit the calculate button. Here is how the Adiabatic Heat of Equilibrium Conversion calculation can be explained with given input values -> -886.666667 = (-((7.98*50)+((14.63-7.98)*50)*0.72)/0.72).

FAQ

What is Adiabatic Heat of Equilibrium Conversion?

Adiabatic Heat of Equilibrium Conversion formula is defined as conversion of reaction achieved at conditions, under which overall heat transfer across the boundary between the thermodynamic system and the surroundings is absent and is represented as ΔH_r1 = (-((C^'*∆T)+((C^''-C^')*∆T)*X_A)/X_A) or 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). Mean Specific Heat of Unreacted Stream is the heat required to raise the temperature of one gram of a substance by one Celsius degree of the unreacted reactant after reaction occurred, The Change in Temperature is the difference between the initial and final temperature, Mean Specific Heat of Product Stream is the heat required to raise the temperature of one gram of a substance by one Celsius degree, of Product Stream & Reactant Conversion gives us the percentage of reactants converted into products, displayed as the percentage as a decimal between 0 and 1.

How to calculate Adiabatic Heat of Equilibrium Conversion?

Adiabatic Heat of Equilibrium Conversion formula is defined as conversion of reaction achieved at conditions, under which overall heat transfer across the boundary between the thermodynamic system and the surroundings is absent is calculated using 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). To calculate Adiabatic Heat of Equilibrium Conversion, you need Mean Specific Heat of Unreacted Stream (C^'), Change in Temperature (∆T), Mean Specific Heat of Product Stream (C^'') & Reactant Conversion (X_A). With our tool, you need to enter the respective value for Mean Specific Heat of Unreacted Stream, Change in Temperature, Mean Specific Heat of Product Stream & Reactant 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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