Chemical Kinetics and Nuclear ChemistryHard

Question

The reaction H3C−CH2−NO2 + OH → H3C− CH −NO2 + H2O obeys the rate law for pseudo first-order kinetics in the presence of a large excess of hydroxide ion. If 1% of nitro ethane undergoes reaction in half a minute when the reactant concentration is 0.002 M, what is the pseudo first order rate constant?

Options

A.2 × 10−2 min−1
B.6 × 10−3 min−1
C.4 × 10−2 min−1
D.1 × 10−2 min−1

Solution

$K = \frac{1}{t}.\ln\frac{\left\lbrack A_{0} \right\rbrack}{\lbrack A\rbrack} = \frac{1}{0.5\text{ min}}.\ln\frac{100}{99} = 0.02\text{ mi}\text{n}^{- 1}$

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