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Print Info The chemical method of analysis in determination of the blood alcohol content (%BAC) is: K2Cr207 + H2SO4 + C2H5OH

i still need help on the last question. i tried equations but i keep getting it wrong. thank you

i believe it's moles over volume and the answer should be a percentage

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Answer #1

Answer :

Find the coefficients:

The given chemical equation:

K2Cr2O7 + H2SO4 + C2H5OH → Cr2(SO4)3 + K2SO4 + CH3COOH + H2O

To write the stoichiometric coefficients, we need to balance the chemical equation.

Balanced chemical equation:

2K2Cr2O7 + 8H2SO4 + 3C2H5OH → 2Cr2(SO4)3 + 2K2SO4 + 3CH3COOH + 11H2O

Coefficients are nothing but the number of moles represented in the balanced chemical equation.

From the balanced chemical equation,

The coefficients are 2,8,3 for reactants and 2,2,3,11 for products.

Step 2

During a Breathalyzer Test, it was determined that the above reaction consumed 1.40mg of K2Cr2O7. Calculate the number of milligrams of ethanol in the test sample.

Given:

Mass of K2Cr2O7 = 1.40mg = 0.0014 g

The number of milligrams of ethanol?

Molar mass of K2Cr2O7 = 294.185 g/mol

Calculate the moles of K2Cr2O7 :

Moles = mass/ molar mass

Moles = 0.0014 / 294.185 = 4.76 X 10 -6

According to the balanced chemical equation,

2 mol of K2Cr2O7 reacts with 3 mol of ethanol

4.76 X 10 -7 moles of K2Cr2O7 reacts with ? mol. Of ethanol

On cross multiplication,

4.76 X 10 -6 X 3 / 2 = 7.14 X 10 -6

Convert moles of ethanol to mg:

1 mol of ethanol = 46 g

7.14 X 10 -6 = mass / 46

mass in grams = 0.000328 g

mass in mg = 0.328 mg

(c)

.25mg of ethanol = .10% BAC

so .25x=(.328)(.10)

= 0.131% (%BAC) Answer

Thanks  

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