The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is:
\( 2\mathrm{K_2Cr_2O_7} + 8\mathrm{H_2SO_4} + 3\mathrm{C_2H_6O} \rightarrow 2\mathrm{Cr_2(SO_4)_3} + 3\mathrm{C_2H_4O_2} + 2\mathrm{K_2SO_4} + 11\mathrm{H_2O} \)
If the rate of appearance of \( \mathrm{Cr_2(SO_4)_3} \) is \( 2.67 \, \text{mol} \, \text{min}^{-1} \) at a particular time, the rate of disappearance of \( \mathrm{C_2H_6O} \) at the same time is ____________ \( \text{mol} \, \text{min}^{-1} \). (Nearest integer)