Acough syrup contains 5.0 % ethyl alcohol c2h5oh by mass. if the density of the solution is 0.9928 g/ml. determine the molarity of the alcohol in the cough syrup.

The molarity of ethyl alcohol in cough syrup is 1.08 M

Explanation:

We are given:

(m/m) of ethyl alcohol = 5.0 %

This means that 5 g of ethyl alcohol is present in 100 g of solution.

To calculate volume of solution, we use the equation:

Density of solution = 0.9928 g/mL

Mass of solution = 100 g

Putting values in above equation, we get:

To calculate the molarity of solution, we use the equation:

We are given:

Mass of solute (ethyl alcohol) = 5 g

Molar mass of ethyl alcohol = 46.07 g/mol

Volume of solution = 100.725 mL

Putting values in above equation, we get:

Hence, the molarity of ethyl alcohol in cough syrup is 1.08 M