Help for calculation of the heat of the following reaction

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Discussion Overview

The discussion revolves around the calculation of the heat of a reaction involving the binding of ligand X to protein M to form the complex MX. Participants are exploring the implications of given parameters such as binding affinity, concentrations, and the heat of the reaction.

Discussion Character

  • Homework-related, Mathematical reasoning, Technical explanation

Main Points Raised

  • One participant presents the equation for calculating heat Q based on the binding affinity and concentrations of reactants and products.
  • Another participant questions the clarity of the definition of ΔH as the molar heat of M.
  • A participant notes the challenge of calculating the ratio θ due to the presence of a small amount of MX at the beginning of the reaction.
  • Some participants suggest that the problem may be simplified as a trivial equilibrium problem, proposing the use of an ICE chart to solve it.
  • One participant expresses intent to use the ICE chart for their calculations.

Areas of Agreement / Disagreement

Participants express differing views on the complexity of the problem, with some suggesting it is straightforward while others highlight the complications introduced by the initial presence of MX. No consensus is reached on the best approach to calculate the heat Q.

Contextual Notes

Participants have not fully resolved the implications of the initial concentration of MX on the calculations, and there are unresolved assumptions regarding the definitions and values used in the equations.

Who May Find This Useful

Readers interested in biochemical reaction calculations, particularly those involving ligand binding and thermodynamic properties, may find this discussion relevant.

Icecream
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Anybody can help for calculation of the heat of the following reaction?

Some background:
Ligand X bind to protein M, the product is MX. Binding affinity of X to M is K = [MX]/([M]*[X]).
[MX], [M], [X] are the concentrations of each stuff after the reaction finished.
The ratio of MX to total M is θ = [MX]/([M]+[MX]).
ΔH is the molar heat of M, V is the volume of reaction.
Mt and Xt is the concentration of total M and X at the beginning of the reaction.
So, for this reaction the heat Q = θ*Mt*ΔH*V

My Question is:
The beginning products: Xt= 50 uM, Mt=400 uM, also some [MX] = 4 um, ( Mt is the total concentration of M, including the M in MX),
V=200 ul, K= 100000 M-1, and ΔH =-4000
How to calculate the heat Q for above reaction?

Tons of thanks!
 
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Icecream said:
ΔH is the molar heat of M

No idea what you mean by that.

And no idea what the problem is - you are given equation, you are given data, why don't you plug the numbers in?
 
Thanks for your post.

The equation I have is only for M and X at the beginning of the reaction. My question now is there is small amount of MX mixed in the beginning.
 
I guess it is hard to calculate θ, just leave it in the final answer
 
Isn't it just a trivial equilibrium problem? Easily solved with an ICE chart? You are given K, you know the reaction equation, you know starting concentrations.
 
Thanks! I will try the ICE chart.
 

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