$mol\,L ^{-1}\, \sec ^{-1}= k \times\left( mol\,L ^{-1}\right)^0$
Unit of $k = mol\, L ^{-1}\, sec ^{-1}$
The unit of rate constant for a zero order reaction is $mol\, L ^{-1} \,s ^{-1}$.
${\log _{10}}\,\left[ { - \frac{{d\left[ A \right]}}{{dt}}} \right] = {\log _{10}}\,\left[ {\frac{{d\left[ B \right]}}{{dt}}} \right] + 0.3010$
