Respuesta :

The molarity of the given solution is  [tex]\boxed{{\text{0}}{\text{.0174 mol/L}}}[/tex].

Further explanation:

Blood alcohol concentration:

The term BAC is also known as blood alcohol concentration. Blood alcohol concentration is a measure of the concentration of alcohol in blood. The BAC is expressed in terms of grams of alcohol present in 100 mL of blood. For example, if BAC is 0.12 % that means 0.12 g of alcohol present in 100 mL of blood.

Molarity:

The molarity of the solution can be defined as the concentration of the solution and is equal to the number of moles of the solute dissolved in 1 liter of the solution.

The expression of molarity (M), volume (V), and number of moles (n) is as follows:

[tex]{\text{M}}=\dfrac{{{\text{n}}\left({{\text{mol}}} \right)}}{{{\text{V}}\left({\text{L}}\right)}}[/tex]           ...... (1)

Here, V is a volume of solution in liters and n is a number of moles of solute.

The given BAC is 0.08 that means 0.08 g of alcohol is present in 100 mL of blood.

The molar mass of alcohol (ethanol) is 46.068 g/mol. Therefore, the number of moles of alcohol present in 0.08 g of alcohol is,

[tex]\begin{aligned}{\text{Mole}}&=\frac{{{\text{given mass}}\left( {\text{g}}\right)}}{{{\text{molar mass}}\left({{\text{mol/g}}}\right)}}\\&=\frac{{0.08{\text{ g}}}}{{46.068{\text{g/mol}}}}\\&=0.0017366{\text{ mol}}\\\end{aligned}[/tex]

The molarity of the alcohol solution in blood can be calculated by dividing the number of moles (0.0017366 mol) with the volume of solution (100 mL or 0.1 L).

[tex]\begin{aligned}{\text{M}}&=\frac{{{\text{n}}\left( {{\text{mol}}}\right)}}{{{\text{V}}\left( {\text{L}} \right)}}\\&=\frac{{0.0017366{\text{ mol}}}}{{0.1{\text{ L}}}}\\&= 0.017366{\text{ mol/L}}\\\end{aligned}[/tex]

Therefore the molarity of solution is [tex]{\mathbf{0}}{\mathbf{.0174 mol/L}}[/tex] .

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Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Solutions

Keywords: Concentration of alcohol, BAC, blood alcohol concentration, molarity, number of moles, 0.08 bac, 0.0174 mol/L.

okpalawalter8

We have that the concentration of alcohol, in terms of molarity is

M=0.017366mol/L

Molarity

Question Parameters:

in blood if the bac is 0.08

Generally the equation for the mol  is mathematically given as

[tex]Mole=\frac{given mass}{molar mass}[/tex]

Therefore

[tex]Mole=\frac{0.08}{46.06}[/tex]

Mole=0.0017366mol

The molarity of the alcohol solution in blood

M=n/V

M=0.0017366mol/0.1

M=0.017366

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