A cough syrup contains 5.0% ethyl alcohol, C2 H5 OH, by mass. If the density of the solution is

step 1 If we have a solution of 5 % ethanol with a density of 0 .9928 grams per milliliter, we can use

A cough syrup contains 5.0% ethyl alcohol, C2 H5 OH, by...

A cough syrup contains 5.0$\%$ ethyl alcohol, $\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH},$ by mass. If the density of the solution is 0.9928 $\mathrm{g} / \mathrm{mL}$ , determine the molarity of the alcohol in the cough syrup.

Key Concepts

Mass Percent Concentration

Mass percent concentration expresses the mass of a solute as a percentage of the total mass of the solution. It indicates how many grams of the solute are present in every 100 grams of solution and is crucial for determining the amount of solute in a given mass of the solution.

Density

Density is defined as the mass per unit volume of a substance. In the context of solutions, it allows for the conversion of a given volume of solution to the corresponding mass, which is essential when working with mass-based concentrations such as mass percent.

Molarity

Molarity is a concentration unit that measures the number of moles of a solute per liter of solution. It is used to quantify the concentration of a solution in terms of moles rather than mass, making it especially useful in chemical reactions and stoichiometric calculations.

Molar Mass Conversion

Molar mass conversion involves using the molar mass (the mass of one mole of a substance) to convert between the mass of a compound and the number of moles. This calculation is critical when transitioning from a mass-based concentration to a molarity, which is based on moles.

Unit Conversions

Unit conversions are necessary to ensure that all quantities are expressed in compatible units during calculations. In this context, converting volumes (e.g., from milliliters to liters) and masses (e.g., from grams to moles) is essential to accurately compute the molarity of the solution.

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