Question

Calculate the half-life time of a first order reaction having K=8min$^{-1}$.

Hint:

The half-life of a first-order reaction is constant and independent of the initial concentration.

Answer 1

For a first-order reaction, the half-life ($t_{1/2}$) is given by the formula:
$t_{1/2} = \frac{0.693}{k}$
Given:
$k = 8$ min$^{-1}$.
Substitute the value:
$t_{1/2} = \frac{0.693}{8}$
$t_{1/2} = 0.086625$ min.
Rounding to reasonable precision: $t_{1/2} \approx 0.087$ min (or approx 5.2 seconds).