Question

The rate of the reaction:

$C{H}_{3}COO{C}_2{H}_5+NaOH\to C{H}_{3}COONa+C_2{H}_{5}OH$

is given by the equation,
$rate=k\left[C{H}_{3}COO{C}_2{H}_5\right]\left[NaOH\right]$

If concentration is expressed in $mol/L$, the units of $k$ are:

• A. $mo{l}^{-2}{L}^2{s}^{-1}$
• B. $mol{L}^2{s}^{-1}$
• C. $Lmo{l}^{-1}{s}^{-1}$
• D. $s^{-1}$

Answer 1

The correct option is C $Lmo{l}^{-1}{s}^{-1}$

For a second order reaction, $\frac{dx}{dt}=k[A{]}^2$
$\frac{conc.}{time}=k[conc.{]}^2$
$\frac{mol{L}^{-1}}{s}=kmol{L}^{-1}\times mol{L}^{-1}$
$k=Lmo{l}^{-1}{s}^{-1}$.