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)
ΔHr1 = (-((C'*∆T)+((C''-C')*∆T)*XA)/XA)
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
ΔHr1 = (-((C'*∆T)+((C''-C')*∆T)*XA)/XA) --> (-((7.98*50)+((14.63-7.98)*50)*0.72)/0.72)
Evaluating ... ...
ΔHr1 = -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)

Credits

Creator Image
Created by Pavan Kumar
Anurag Group of Institutions (AGI), Hyderabad
Pavan Kumar has created this Calculator and 100+ more calculators!
Verifier Image
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

Temperature and Pressure Effects Calculators

Equilibrium Conversion of Reaction at Initial Temperature
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Reactant Conversion = ((Mean Specific Heat of Unreacted Stream*Change in Temperature)-Total Heat)/(-Heat of Reaction per Mole at Temperature T2)

Adiabatic Heat of Equilibrium Conversion Formula

​LaTeX ​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)
ΔHr1 = (-((C'*∆T)+((C''-C')*∆T)*XA)/XA)

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 ΔHr1 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 (XA) 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 ΔHr1 = (-((C'*∆T)+((C''-C')*∆T)*XA)/XA) 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 (XA). 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!