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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