Dissociation constant as function of T,p.

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Homework Help Overview

The discussion revolves around the calculation of the dissociation constant for a chemical reaction, specifically 2A<->A2, at varying temperatures and pressures. The original poster seeks to understand how pressure factors into the dissociation constant and how to adjust calculations for different temperatures.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to incorporate pressure into the dissociation constant formula and questions the appropriate units to use. They also inquire about the method for calculating the dissociation constant at different temperatures.

Discussion Status

Participants are exploring the relationship between pressure and the dissociation constant, with some providing insights into the use of partial pressures. There is an acknowledgment of the need for additional data, such as enthalpy and heat capacity, to address temperature dependence. Multiple interpretations of the temperature effect are being discussed without a clear consensus.

Contextual Notes

The original poster is working under the constraints of a homework assignment, which may impose specific requirements for calculations and assumptions regarding the reaction conditions.

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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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