What is the %v/v of a solution made from 136.1 g of ethylene glycol (density is 1.11 g/mL) in water (density 1.00 g/mL) to form a total volume of 500.0 mL

Considering the definition of volume percentage and density, the %v/v of the solution is 24.522%.

Volume percentage is a measure of concentration that indicates the volume of solute per 100 volume units of the solution.

In other words, percent by volume is defined as the ratio of the volume of solute to the volume of the solution.

The volume percentage of a solution is determined by the following expression:

In this case, you know that a solution made from 136.1 g of ethylene glycol (density is 1.11 g/mL) in water to form a total volume of 500.0 mL.

Knowing that the density is a quantity that allows us to measure the amount of mass in a certain volume of a substance, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

So, being 136.1 g of ethylene glycol (solute) with a density of 1.11 , the volume can be calculated as:

Solving:

volume= 122.61 mL

So, you know that:

Replacing in the expresion for volume percentage:

Solving:

volume percentage= 0.24522 ×100

volume percentage= 24.522 %

Finally, the %v/v of the solution is 24.522%.

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v/v % = 24.522 %

Explanation:

A percent v/v solution is calculated by the following formula using the milliliter as the base measure of volume (v):

v/v % = [(volume of solute) / (volume of solution)] x 100%

In this problem, the solute is ethylene gycol.

Mass = 136.1 g

Density = 1.11 g/mL

Density = Mass / Volume

Volume = Mass / Density = 136.1 / 1.11 = 122.61 mL

Volume of solution = 500 mL

v/v % = [(volume of solute) / (volume of solution)] x 100%

v/v % = (122.61 / 500 ) x 100

v/v % = 0.24522 x 100

v/v % = 24.522 %

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