Energy required for a chemical reaction

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SUMMARY

The energy required for the two-step chemical reaction involving calcium sulfate (CaSO4) and sulfur (S2) at 1600°F has been calculated using the enthalpy equation H2=H1+∫CpdT, with heat capacity correlations sourced from Perry's Chemical Engineers' Handbook. The calculated energy is 2,818 kJ/mol. It is crucial to note that the activation energy, typically determined using the Arrhenius equation, is not necessary for calculating the enthalpy change since enthalpy is a state function. Instead, one can compute the reaction energy by adjusting the temperature from 25°C to the reaction temperature.

PREREQUISITES
  • Understanding of enthalpy and state functions
  • Familiarity with heat capacity equations
  • Knowledge of the Arrhenius equation for activation energy
  • Experience with chemical reaction thermodynamics
NEXT STEPS
  • Review the use of heat capacity correlations in thermodynamic calculations
  • Study the Arrhenius equation and its application in determining activation energy
  • Learn about the implications of state functions in thermodynamic processes
  • Explore the methodologies for calculating enthalpy changes at varying temperatures
USEFUL FOR

Chemical engineers, thermodynamics students, and professionals involved in reaction kinetics and energy calculations in chemical processes.

jpills510
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Hi all,

I'm looking for the energy required for a 2-step chemical reaction:

CaSO4 + S2 -> CaS + 2SO2
CaS + 3CaSO4 -> 4CaO + 4SO2

This reaction is to happen around 1600 deg. F. I solved for the heat of reaction for these two reactions with the following enthalpy equation: H2=H1+∫CpdT I used the heat capacity correlations from the Perry's Chemical Engineers' Handbook.

I found the overall energy required for these two reactions in terms of H2, but I'm afraid it may be wrong. My final answer for a temperature of 1600 deg. F is 2,818 kJ/mol.

I'm wondering if I went about this calculation correctly. I did not solve for the activation energy with the Arrhenius equation, is that something I should have done instead?

Any insight will be greatly appreciated.
 
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jpills510 said:
Hi all,

I'm looking for the energy required for a 2-step chemical reaction:

CaSO4 + S2 -> CaS + 2SO2
CaS + 3CaSO4 -> 4CaO + 4SO2

This reaction is to happen around 1600 deg. F. I solved for the heat of reaction for these two reactions with the following enthalpy equation: H2=H1+∫CpdT I used the heat capacity correlations from the Perry's Chemical Engineers' Handbook.

I found the overall energy required for these two reactions in terms of H2, but I'm afraid it may be wrong. My final answer for a temperature of 1600 deg. F is 2,818 kJ/mol.

I'm wondering if I went about this calculation correctly. I did not solve for the activation energy with the Arrhenius equation, is that something I should have done instead?

Any insight will be greatly appreciated.

Firstly when you say "energy required" are you meaning an activation energy to get the reaction started, or to calculate an energy (endotherm) per mole of product needed to drive the reaction?

If it is the latter that you are after, then the most important thing is to remember that enthalpy is a state function, and therefore independent of path. That means that the activation energy becomes quite irrelevant, and that you can make a calculation by first considering the (quite impractical) reaction at 25°C using tabulated data, and then adjusting by cooling your reactants from actual reaction temperature to 25°C and warming your products from 25°C to the actual reaction temperature using the heat capacity equations.
 

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