Concept explainers
A chemical “breathalyzer” test works because ethanol in the breath is oxidized by the dichromate ion (orange) to form acetic acid and chromium(III) ion (green). The balanced reaction is
Interpretation: The mole percent of alcohol of the breath is to be calculated.
Concept introduction: Number of moles is defined as the mass divided by the molecular of the element. Mole percent is calculated by knowing the mass and mole fractions of any element.
To determine: The mole percent of alcohol of the breath.
Answer to Problem 171CP
Answer
The mole percent of alcohol of the breath is
Explanation of Solution
Explanation
The number of moles is calculated by the formula,
Given,
Therefore, moles of
Substitute the value of the given mass and the molar mass, to calculate the number of moles of
The given reaction is,
According to the stated reaction, 3 moles of alcohol react with 2 moles of
Therefore,
The idea gas equation is,
Given,
The volume of the breath (V) is
Rearrange the ideal gas equation to calculate the number of moles.
Substitute the value of
Therefore,
The mole percent of alcohol of the breath is calculated as,
Conclusion
The mole percent of alcohol of the breath is
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Chapter 22 Solutions
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