In this question, we have to assume that order of the reaction,
xA+yB→zC with respect to
B is zero, i.e.,
y=0. So, the rate expression becomes,
r=k[A]x[B]y=k[A]x[B]0=k[A]x Now, according to question
If the concentration of
A is tripled, rate of reaction increased by 27 times over the initial hence.
According to available data,
(27r)=k[3A]x x=3 and this order of reaction
=3 Now, for a third order reaction half-life will be
t1/2= or
t1/2∝