Question

The half-life of a first-order reaction is equal to $4.459seconds$. Determine the rate constant of the reaction in $mi{n}^{-1}$.

• A. $0.1554$
• B. $9.327$
• C. $3.091$
• D. $185$

Answer 1

The correct option is B $9.327$

For first order reaction,

$t_{1/2}=\frac{0.693}{K}\therefore 4.459second=\frac{0.693}{K}\therefore \frac{4.459}{60}minutes=\frac{0.693}{K}\therefore K=\frac{0.693\times 60}{4.459}\therefore K=9.327{min}^{-1}$