Question

vii.
The half-life period of zero order reaction A
product is given by
0.693
(A)
k
(B) 0.693
(D) 2[A]
© (A)
2k​

Answer 1

Zero Order Reaction :

$\large{\sf \:\:\:\:\:\:\:\:A→\:\:\: Product}$

${\sf t=0\:\:\:a\:\:\:\:\:\:\:0}$

${\sf t=t\:\:\:(A-x)\:\:\:\:\:\:x}$

$\large{\boxed{\sf r=K[A]^0 }}$

${\sf \dfrac{dx}{dt}=K(A-x)^0}$

${\sf \int\dfrac{dx}{dt}=\int K(A-x)^0}$

${\sf \int\dfrac{dx}{(A-x)^0}=\int Kdt}$

X = Kt + C

t = 0 , X = 0 , C = 0

X = Kt

$\large{\boxed{\sf K=\dfrac{x}{t} }→(1)}$

Half Life :-

Time required to Complete half reaction , Refered to as half life.

t = t½

x = $\sf{\dfrac{a}{2}}$

Putting Value in eq 1

$\implies{\sf K=\dfrac{\dfrac{a}{2}}{t^{1/2}}}$

$\implies{\sf t^{1/2}=\dfrac{a}{2K}}$

$\implies{\sf t^{1/2}\:\:\:\alpha\:\:\:\dfrac{a}{2}}$

$\large{\boxed{\sf \blue{t^{1/2}\:\:=\:\:\dfrac{a}{2K}}}}$

$\Large\underline{\underline{\sf \red{Answer}:}}$

•°• Half life of zero Order Reaction is a/2