# About to di(mer)

Suppose a molecule $$\text{Y}$$, carboxylic acid for instance, can form dimers $$\text{Y}:\text{Y}$$ denoted as $$\text{Y}_2$$. The forward reaction between two molecules of $$\text{Y}$$ to form a dimer has rate constant $$k_f = 5\times 10^{-5} \text{ mM}^{-2} \text{ s}^{-1}$$, and the backward reaction of one dimer breaking into two monomers has rate constant $$k_b = 2 \text{ mM}^{-1} \text{ s}^{-1}$$.

You prepare a solution of $$100\text{ mM}$$ $$\text{Y}$$, what is the equilibrium concentration (in $$\text{mM}$$) of the dimer $$\text{Y}_2$$?

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