Q. For a first order reaction, the half-life period is
A) Dependent on the square of the initial concentration.
B) Dependent on first power of initial concentration.
C) Dependent on the square root of initial concentration.
D) Independent on initial concentration
Explanation
(d)
$t_{1/2} = \frac{1}{(a)^{n - 1}}$
Where, n=order of reaction
a= initial concentration
For first order reaction,
n=1
$t_{1/2} = \frac{1}{a^{n - 1}}$
$a = \frac{1}{a^{0}} = 0$
Thus for a first order reaction,$t_{1/2}$ is independent of initial concentration.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.