Question

Which of the following corresponds to the units of rate constant for n${}^{th}$ order reaction ?

• A. $mol{e}^{n-1}{l}^{1-n}{s}^{-1}$
• B. $mol{e}^{n-1}{l}^{n-1}{s}^{-1}$
• C. $mol{e}^{1-n}{l}^{n-1}{s}^{-1}$
• D. $mol{e}^{n-1}{l}^n{s}^{-1}$

Answer 1

The correct option is C $mol{e}^{1-n}{l}^{n-1}{s}^{-1}$

$r=K{\left[A\right]}^n$
$K=\frac{r}{{\left[A\right]}^n}=\frac{mole{l}^{-1}se{c}^{-1}}{mol{e}^n{l}^{-n}}$ $=mol{e}^{1-n}{1}^{n-1}se{c}^{-1}$