A person's blood alcohol (C2 H3 OH) level can be determined by titrating a sample of blood plasm

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A person's blood alcohol (C2 H3 OH) level can be determined...

A person's blood alcohol $\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{OH}\right)$ level can be determined by titrating a sample of blood plasma with a potassium dichromate solution. The balanced equation is $$ 16 \mathrm{H}^{+}(a q)+2 \mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}(a q)+\begin{array}{c} \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(a q) \longrightarrow \\ 4 \mathrm{Cr}^{3+}(a q)+2 \mathrm{CO}_{2}(g)+11 \mathrm{H}_{2} \mathrm{O}(l) \end{array} $$ If $35.46 \mathrm{~mL}$ of $0.05961 \mathrm{M} \mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}$ is required to titrate $28.00 \mathrm{~g}$ of plasma, what is the mass percent of alcohol in the blood?

A person's blood alcohol $\left(\mathrm{C}_{2} \mathrm{H}_{3} \mathrm{OH}\right)$ level can be determined by titrating a sample of blood plasma with a potassium dichromate solution. The balanced equation is
$$
16 \mathrm{H}^{+}(a q)+2 \mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}(a q)+\begin{array}{c}
\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(a q) \longrightarrow \\
4 \mathrm{Cr}^{3+}(a q)+2 \mathrm{CO}_{2}(g)+11 \mathrm{H}_{2} \mathrm{O}(l)
\end{array}
$$
If $35.46 \mathrm{~mL}$ of $0.05961 \mathrm{M} \mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}$ is required to titrate $28.00 \mathrm{~g}$ of
plasma, what is the mass percent of alcohol in the blood?

Key Concepts

Titration

Titration is an analytical technique used to determine the concentration of a solute in a solution by reacting it with a solution of known concentration. In this context, titration is used to quantify the amount of alcohol in a blood plasma sample by using a potassium dichromate solution as the titrant.

Stoichiometry

Stoichiometry involves using the balanced chemical equation to relate the amounts of reactants and products in a chemical reaction. It enables the determination of the moles of ethanol that reacted based on the known moles of dichromate used, which is essential for calculating the alcohol content in the sample.

Molarity

Molarity is a measure of concentration defined as the number of moles of solute per liter of solution. It is crucial in titration problems because it allows the conversion of the titrant volume to the number of moles, forming the basis for quantitative analysis in the reaction.

Mole-to-Mass Conversion

Mole-to-mass conversion is the process of converting the number of moles of a substance to its mass using its molar mass. This conversion is necessary for determining the mass of alcohol present in the blood plasma after finding the moles of ethanol from the titration data.

Mass Percent Composition

Mass percent composition is a way to express the concentration of a component in a mixture by calculating the percentage of the component's mass relative to the total mass of the mixture. In this problem, it is used to express the amount of alcohol in the blood as a percentage of the plasma's total mass.

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