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A protein molecule, $\mathrm{P}$, of molar mass $\mathcal{M}$ dimerizes when it is allowed to stand in solution at room temperature. A plausible mechanism is that the protein molecule is first denatured (that is, loses its activity due to a change in overall structure) before it dimerizes:where the asterisk denotes a denatured protein molecule. Derive an expression for the average molar mass (of $P$ and $P_{2}$ ), $\overline{\mathcal{M}}$, in terms of the initial protein concentration [P] $_{0}$ and the concentration at time $t,[\mathrm{P}]_{r},$ and $\mathcal{M} .$ Describe how you would determine $k$ from molar mass measurements.

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$\overline{\mathcal{M}}=\mathcal{M} \cdot \frac{2[\mathrm{P}]_{0}}{[\mathrm{P}]_{0}+[\mathrm{P}]_{t}}$We can obtain the rate constant by plotting $\ln \left(\frac{2 \mathcal{M}}{\overline{\mathcal{M}}}-1\right)$ vs $t$ in which the slope of the graph is $-k$

Chemistry 102

Chapter 6

Chemical Kinetics

Kinetics

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22:42

In probability theory, the conditional probability of an event A given that another event B has occurred is defined as the probability of A given B, written as P(A|B). It is a function of the probability of B, the probability of A given B, and the probability of B.

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In chemistry, kinetics is the study of the rates of chemical reactions. The rate of a reaction is the change in concentration of a reactant over time. The rate of reaction is dependent on the concentration of the reactants, temperature, and the activation energy of the reaction.

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A protein molecule $P$ of …

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