A reaction follows the rate law \(\rm−\frac{d[A]}{d t}\) = k[A]2. Starting from an initial concentration [A]0, the time taken for the concentration to reduce to \(\rm\frac{[A]_0}{4}\), namely the quarter-life of A, is

1
\(\rm\frac{\ln k}{2}\)
2
\(\rm\frac{1}{k[A]_0}\)
3
\(\rm\frac{\ln 2}{k}\)
4
\(\rm\frac{3}{k[A]_0}\)

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