## Reactant Conversion at Adiabatic Conditions Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
XA = (C'*∆T)/(-ΔHr1-(C''-C')*∆T)
This formula uses 5 Variables
Variables Used
Reactant Conversion - Reactant Conversion gives us the percentage of reactants converted into products, displayed as the percentage as a decimal between 0 and 1.
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 Occured.
Change in Temperature - (Measured in Kelvin) - The Change in Temperature is the difference between the initial and final temperature.
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 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.
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
Heat of Reaction at Initial Temperature: -885 Joule Per Mole --> -885 Joule Per Mole 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
XA = (C'*∆T)/(-ΔHr1-(C''-C')*∆T) --> (7.98*50)/(-(-885)-(14.63-7.98)*50)
Evaluating ... ...
XA = 0.722171945701357
STEP 3: Convert Result to Output's Unit
0.722171945701357 --> No Conversion Required
0.722171945701357 0.722172 <-- Reactant Conversion
(Calculation completed in 00.004 seconds)
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Anurag Group of Institutions (AGI), Hyderabad
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## < 8 Temperature and Pressure Effects Calculators

Final Temperature for Equilibrium Conversion
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
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))
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
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 Final Temperature
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 = (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 Adiabiatic Conditions
Reactant Conversion = ((Mean Specific Heat of Unreacted Stream*Change in Temperature)-Total Heat)/(-Heat of Reaction per Mole at Temperature T2)
Non Adiabiatic Heat of Equilibrium Conversion
Total Heat = (Reactant Conversion*Heat of Reaction per Mole at Temperature T2)+(Mean Specific Heat of Unreacted Stream*Change in Temperature)

## Reactant Conversion at Adiabatic Conditions Formula

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)
XA = (C'*∆T)/(-ΔHr1-(C''-C')*∆T)

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 Reactant Conversion at Adiabatic Conditions?

Reactant Conversion at Adiabatic Conditions calculator uses 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) to calculate the Reactant Conversion, Reactant Conversion at Adiabatic Conditions 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. Reactant Conversion is denoted by XA symbol.

How to calculate Reactant Conversion at Adiabatic Conditions using this online calculator? To use this online calculator for Reactant Conversion at Adiabatic Conditions, enter Mean Specific Heat of Unreacted Stream (C'), Change in Temperature (∆T), Heat of Reaction at Initial Temperature (ΔHr1) & Mean Specific Heat of Product Stream (C'') and hit the calculate button. Here is how the Reactant Conversion at Adiabatic Conditions calculation can be explained with given input values -> 0.700615 = (7.98*50)/(-(-885)-(14.63-7.98)*50).

### FAQ

What is Reactant Conversion at Adiabatic Conditions?
Reactant Conversion at Adiabatic Conditions 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 XA = (C'*∆T)/(-ΔHr1-(C''-C')*∆T) or 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). 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 Occured, The Change in Temperature is the difference between the initial and final temperature, Heat of Reaction at Initial Temperature is change in enthalpy in chemical reaction at the Initial 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.
How to calculate Reactant Conversion at Adiabatic Conditions?
Reactant Conversion at Adiabatic Conditions 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 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). To calculate Reactant Conversion at Adiabatic Conditions, you need Mean Specific Heat of Unreacted Stream (C'), Change in Temperature (∆T), Heat of Reaction at Initial Temperature (ΔHr1) & Mean Specific Heat of Product Stream (C''). With our tool, you need to enter the respective value for Mean Specific Heat of Unreacted Stream, Change in Temperature, Heat of Reaction at Initial Temperature & Mean Specific Heat of Product Stream and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Reactant Conversion?
In this formula, Reactant Conversion uses Mean Specific Heat of Unreacted Stream, Change in Temperature, Heat of Reaction at Initial Temperature & Mean Specific Heat of Product Stream. We can use 1 other way(s) to calculate the same, which is/are as follows -
• Reactant Conversion = ((Mean Specific Heat of Unreacted Stream*Change in Temperature)-Total Heat)/(-Heat of Reaction per Mole at Temperature T2) Let Others Know