The reaction that occurs in a Breathalyzer, a device used to determine the alcoh

Question

The reaction that occurs in a Breathalyzer, a device used to determine the alcohol level in a person's bloodstream, is given below. If the rate of appearance of Cr2(SO4)3 is 1.44 mol/min at a particular moment, what is the rate of disappearance of C2H6O at that moment?

The reaction that occurs in a Breathalyzer, a device used to determine the alcohol level in a person's bloodstream, is given below. If the rate of appearance of Cr2(SO4)3 is 1.44 mol/min at a particular moment, what is the rate of disappearance of C2H6O at that moment?

Explanation / Answer

From the chemical equation:

(-1/3) x d[C2H6O]/dt = (1/2) x d[Cr2(SO4)3]/dt


Rate of appearance of Cr2(SO4)3 = d[Cr2(SO4)3]/dt = 1.44 mol/min


Rate of disappearance of C2H6O = -d[C2H6O]/dt

= 3/2 x d[Cr2(SO4)3]/dt

= 3/2 x 1.44

= 2.16 mol/min

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