Chemical Kinetics and Nuclear ChemistryHard

Question

In the acid hydrolysis reaction A + H2O + H+ → Products, where [H+] = 0.1 M and H2O is present in large excess, the apparent rate constant is 1.5 × 10−5 s−1.

r = K[A][H2O][H+] = Kapp[A]

The true rate constant (third-order rate constant) of reaction is

Options

A.2.7 × 10−6 M−1 s−1
B.1.5 × 10−4 M−2 s−1
C.2.7 × 10−6 M−2 s−1
D.2.7 × 10−6 M2 s−1

Solution

$K = \frac{K_{app}}{\left\lbrack H_{2}O \right\rbrack\left\lbrack H^{+} \right\rbrack} = \frac{1.5 \times 10^{- 5}\text{ }\text{s}^{- 1}}{\left( \frac{1000}{18}\text{ M} \right)\left( 0.1\text{ M} \right)}$

$= 2.7 \times 10^{- 6}\text{ }\text{M}^{- 2}s^{- 1}$

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