Q. What is the formula to find value of $t_{1/2}$ for a zero order reaction?
A) $\frac{k}{\lbrack R\rbrack_{0}}$
B) $\frac{2k}{\lbrack R\rbrack_{0}}$
C) $\frac{\lbrack R\rbrack_{0}}{2k}$
D) $\frac{0.693}{k}$
Explanation
(c)
$T_{\frac{1}{2}} = T_{50},\ x = \frac{R}{2}$
${\therefore\ \ \ \ \ T}_{50} = \frac{R}{k_{0}}$
So ${\ T}_{50} \propto R$
$T_{50} \propto \frac{R}{k_{0}}$
Therefore, the formula of $t_{1/2}$for a zero order reaction is $\frac{\lbrack R\rbrack_{0}}{2k}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.