A decomposition reaction obeys the rate law

CHEMISTRY · Multi-part · A Level · Chemistry · Rate equations · Rate equations

Problem

\text{rate}=k[\text{X}]^{3}

. In an experiment carried out at

25\,^{\circ}\text{C}

the rate constant was determined to be

1.4\times10^{4}\;\text{L}^{2}\,\text{mol}^{-2}\,\text{min}^{-1}

. (a) Determine the correct scientific-unit expression for

k

when the rate is expressed in

\text{mol}\,\text{L}^{-1}\,\text{s}^{-1}

rather than

\text{mol}\,\text{L}^{-1}\,\text{min}^{-1}

. (b) Show, using dimensional analysis, that your converted units for

k

are consistent with the overall order of the reaction.