Help for calculation of the heat of the following reaction

AI Thread Summary
The discussion revolves around calculating the heat (Q) of a reaction involving ligand X binding to protein M to form MX. The user provides initial concentrations and values for K and ΔH but struggles with incorporating the existing concentration of MX into the calculations. Other participants suggest using an ICE chart to solve for the equilibrium concentrations, highlighting that the problem can be addressed using the given data and equations. The conversation emphasizes the importance of understanding the reaction dynamics and applying the correct formulas. Ultimately, the user is encouraged to proceed with the calculations using the provided information.
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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