Question

For a reaction $A+B\to P$, the rate law is given by $r=k\left[A{]}^{\frac{1}{2}}\right[B{]}^2$.
(a) What is the order of this reaction?
(b) 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) The order of the reaction is $\frac{1}{2}+2=\frac{5}{2}$
(b) $t_{\frac{1}{2}}=\frac{0.693}{k}$

=$\frac{0.693}{5.5\times {10}^{-14}}$

=$1.26\times {10}^{13}$