Question

Consider the dimerization 2A S A2, with forward rate constant kf and reverse rate constant kr. (a) Derive an expression for "in terms of the rate constants, [A], and the total concentration of dt protein, [A]o[A]+2[A2] (b) The equation you derived above can be used to show that k8kk,[A]cot T2 where T is a quantity with units of time that depends the data provided below, calculate the rate constants formation of hydrogen-bonded dimers of 2-pyridone: on k, ki, and [A]ot. Using this cquation with kf and k, and the equilibrium constant K for [AJo (mol dm t (ns) 0.500 0.352 0.251 0.151 0.101 2.3 2.7 3.3 4.0 5.3

Answer 1

(dimt vidien Ky date fforwasd a e tis ongat 4) K4CAJKs CA Loncat ation of A - d[A] A] - JA - CA2 trutionof A2 olt d[A) - K CA2 az] - (i) CAlotlCA tCA] d[A] d [a] Ks CACAJ +k[A]tot dt 2 d [A K3CAtot olt KCAJ KA eJP- CA) Kf kCA3tot dt

Knot tC 4 kCAJtotet K +C ii CAJ 4- n 2 4 CAJ

AJ VY at t-o Euation 2CA A-Ca]) 2 Put in 4 uatia 2 To Lalw late Valwe of T foorr liii) by los0) efvation y futirg in (th tutio we me valwe Honce preved : 8 K (Almb

Ca) CA 53 tと 3.3 Tins) 2.3 TAo TALot m - m -ト3 ns (data) mEn n) c 0 25 OS .124 O0482 e022 .S 0 022 0/0355 .o o o03

) 1.3 55 +SC m 0.1336 m o 469 + ( 1.35s m-0.31 36 2. mol dm3.S mof x=o.oY 1.119 dm3 (n