Q. For the following homogeneous reaction, the unit of rate constant is$A + B\overset{\ \ \ \ \ \ k\ \ \ \ \ \ \ \ }{\rightarrow}C$
A) $mol^{- 1}Ls^{- 1}$
B) $s^{- 1}$
C) S
D) $s^{- 1}mol\ L^{- 1}$
Explanation
(a)
For the homogenous gaseous reaction,
$A + B\overset{k}{\rightarrow}c,the\ rate\ law\ is$
$\frac{dx}{dt} = k\lbrack A\rbrack\lbrack B\rbrack$
Or
$k = \frac{dx}{dt \times \lbrack A\rbrack\lbrack B\rbrack}$
$\frac{mol\ L^{- 1}}{time \times mol\ L^{- 1} \times mol\ L^{- 1}}$
Or unit of rate constant ‘k’ is $mol^{- 1\ }L\ time^{- 1}or\ mol^{- 1}Ls^{- 1}$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.