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The rate law for the decomposition of hydrogen iodide is $-\frac{\mathrm{d}[\mathrm{HI}]}{\mathrm{dt}}=\mathrm{k}[\mathrm{HI}]^2$. The units of rate constant $\mathrm{k}$ are
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The correct answer is:
$\mathrm{L}_{\mathrm{mol}^{-1}} \mathrm{~s}^{-1}$
From the rate law,
units $=\frac{\left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\right)}{\left(\mathrm{mol} \mathrm{L}^{-1}\right)^2}=\mathrm{L} \mathrm{mol}^{-1} \mathrm{~s}^{-1}$
units $=\frac{\left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}\right)}{\left(\mathrm{mol} \mathrm{L}^{-1}\right)^2}=\mathrm{L} \mathrm{mol}^{-1} \mathrm{~s}^{-1}$
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