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what is the %v/v of a solution made from 201.1 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? you may assume the density of ethylene glycol does not change in the solution.



Answer :

The percentage volume by volume concentration of ethylene glycol is 36.234% in 500ml solution of ethylene glycol and water.

The mass of ethylene glycol dissolved is 201.1 grams and the density of ethylene glycol is given to be 1.11g/ml. The density of water is 1.0 g/ml.

The total volume of the solution is 500ml.

We know,

Density = mass/volume

Volume = mass/density

So, volume of ethylene glycol used is,

Volume = 201.1/1.11

Volume = 181.17 grams

Volume of ethylene glycol  is 181.17 grams.

The volume percentage of ethylene glycol used can be found by using percentage formula,

Percentage of ethylene glycol = volume of ethylene glycol /volume of total solution × 100

So,

Putting all the values,

Volume Percentage of ethylene glycol = 181.17/500 × 100

Volume Percentage of ethylene glycol = 36.234%.

So, the percentage of water = 100 - percentage of ethylene glycol

Percentage of water = 100 - 36.234

Percentage of water = 63.766%

So, the volume percentage of ethylene glycol is 36.234% and of water is 63.766%.

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