Dissociation constant as function of T,p.

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SUMMARY

The discussion focuses on calculating the dissociation constant for the reaction 2A <-> A2, with an affinity constant k(T) of 1.7 x 10^-4 mol/cm³ at 18°C. The user successfully derived the dissociation level using the formula alpha = 1/(sqrt(1+4k)). They inquired about incorporating pressure into the calculation, leading to the formula alpha = 1/(sqrt(1+4 p k(T))). Additionally, they sought guidance on adjusting the dissociation constant for varying temperatures, ultimately concluding that enthalpy and heat capacity data are necessary for accurate calculations.

PREREQUISITES
  • Understanding of chemical equilibrium and reaction kinetics
  • Familiarity with the concepts of dissociation constants and affinity constants
  • Knowledge of thermodynamic principles, including enthalpy and heat capacity
  • Proficiency in using mathematical expressions for chemical reactions
NEXT STEPS
  • Research the relationship between pressure and dissociation constants in chemical reactions
  • Study the derivation of the van 't Hoff equation for temperature dependence of equilibrium constants
  • Learn about calculating enthalpy changes for reactions using calorimetry
  • Explore the application of the Gibbs free energy in determining reaction spontaneity
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Chemistry students, chemical engineers, and researchers involved in thermodynamics and reaction kinetics will benefit from this discussion.

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Homework Statement


For given general reaction 2A<->A2 the affinity constant is known k(T)=1.7 10-4 mol/cm3 (t=18 C) Find dissociation (constant) level in normal pressure.

Homework Equations


So i solved it - found the general solution for dissociation constant.
alpha=1/(sqrt(1+4k))
Now i have some quaestions,So first of all where do i factor in the pressure?
Like this alpha=1/(sqrt(1+4 p k(T))) and if yes what kind of units would be correct to use?

More importantly If i need to calculate the dissociation constant for the same reaction but only in different temperature, what should i do then ?

Looking forward to hearing from you guys!

The Attempt at a Solution

 
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PTotal = ∑Pi, where Pi are the partial pressures of all species present. Conversely, mole fraction x PTotal is the partial pressure of a selected species. Units obvious enough to you with that information?
 
Bystander said:
PTotal = ∑Pi, where Pi are the partial pressures of all species present. Conversely, mole fraction x PTotal is the partial pressure of a selected species. Units obvious enough to you with that information?

yes, i think units are clear now ,thanks :)

But still,not clear what to do with different temperature i know that k(t)=Exp(a),where a is function form chemical potential maybe its possible to calculate in this way. but its seems irrational.
 
You need enthalpy and heat capacity data (or estimates) for the reaction to examine temperature dependence.
 
Bystander said:
You need enthalpy and heat capacity data (or estimates) for the reaction to examine temperature dependence.

I got it!
it is possible to get relation by using reaction heat
Q=RT^2 d/dT (ln K)
 

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