Question

A first order reaction is found to have a rate constant, $K=5.5\times {10}^{-14}{S}^{-1}$. Find the half life of the reaction.

Answer 1

A first order reaction is found to have a rate constant, $K=5.5\times {10}^{-14}{S}^{-1}$.

The relationship between the half life period ($t_{1_{/2}}$) and the rate constant, $K$ for first order reaction is given by the following expression.

$t_{1_{/2}}=\frac{0.693}{k}$

Substitute values in the above expression.

$t_{1_{/2}}=\frac{0.693}{5.5\times {10}^{-14}{S}^{-1}}$
$t_{1_{/2}}=1.26\times {10}^{13}$S.

The half life of the reaction is $1.26\times {10}^{13}$S.