The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is
$2 \mathrm{~K}_2 \mathrm{Cr}_2 \mathrm{O}_7+8 \mathrm{H}_2 \mathrm{SO}_4+3 \mathrm{C}_2 \mathrm{H}_6 \mathrm{O} \rightarrow 2 \mathrm{Cr}_2\left(\mathrm{SO}_4\right)_3+3 \mathrm{C}_2 \mathrm{H}_4 \mathrm{O}_2+2 \mathrm{~K}_2 \mathrm{SO}_4+11 \mathrm{H}_2 \mathrm{O}$
If the rate of appearance of $\mathrm{Cr}_2\left(\mathrm{SO}_4\right)_3$ is $2.67 \mathrm{~mol} \mathrm{~min}^{-1}$ at a particular time, the rate of disappearance of $\mathrm{C}_2 \mathrm{H}_6 \mathrm{O}$ at the same time is $\_\_\_\_$ $\mathrm{mol} \mathrm{min}^{-1}$.
(Nearest integer)