10.6
Consider a reversible reaction where A forms B and B regenerates A. Here, the forward rate constant is kf, and the reverse rate constant is kr.
As both steps follow first-order kinetics, each rate depends only on its reactant’s concentration.
As the reaction proceeds, A, decreases in the forward step and is regenerated in the reverse step. So, we write the net rate of change in A by combining these opposing contributions.
Now, we apply the law of conservation of mass. If the reaction starts with only A, then the total concentration of A and B is always equal to the initial concentration of A.
Express the concentration of B in terms of A. Then substitute it into the rate equation to write the net rate using A only.
At equilibrium, set the net rate to zero and solve for the equilibrium concentration of A.
Then, divide both the numerator and denominator on the right side of the equation by kr. Substitute the ratio of kf to kr as the equilibrium constant K. This relates the equilibrium concentration of A to the equilibrium constant
Reversible or opposing reactions play a crucial role in understanding the dynamic nature of chemical processes. While kinetics focuses on how reaction…
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