The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is

$2K_{2}C{r}_2{O}_7+8H_{2}S{O}_4+3C_2{H}_{6}O\stackrel{}{\to }2C{r}_2{\left(S{O}_4\right)}_3+3C_2{H}_4{O}_2+2K_{2}S{O}_4+11H_{2}O$

If the rate of appearance of Cr₂(SO₄)₃ is 2.67 mol min^-1 at a particular time, the rate of disappearance of C₂H₆O at the same time is________mol min^-1. (Nearest integer)

$2K_{2}C{r}_2{O}_7+8H_{2}S{O}_4+3C_2{H}_{6}O\to 2C{r}_2{\left(S{O}_4\right)}_3+3C_2{H}_4{O}_2+2K_{2}S{O}_4+11H_{2}O$

Given that, rate of appearance of Cr₂(SO₄)₃ = $+\frac{d\left[C{r}_2{\left(S{O}_4\right)}_3\right]}{dt}=2.67mole/min$  

LHS                                                                 RHS

$\left(\frac{Rateofdisappearanceof{C}_2{H}_{6}O}{3}\right)=\left(\frac{RateofappearanceofC{r}_2{\left(S{O}_4\right)}_3}{2}\right)$            

Rate of disappearance of C₂H₆O = $\frac{2.67*3}{2}mol/min$  

Rate of disappearance of C₂H₆O = 4.005 mol /min

Ans. = 4 (nearest integer)