# I want to make 1oz solution from these ingredients: Alcohol 55.0 % Distilled water 44.0% Salt ( sodium Chloride) 1.0%. Please let me know with explanation Thank you so much. ?

Feb 10, 2016

You need $\text{17.6 mL ethanol, 11.1 mL water}$, and $\text{0.25 g NaCl}$.

#### Explanation:

$\text{1 oz = 25.3 g}$, so you want to make 25.3 g of solution.

The mass of each component will be

25.3 color(red)(cancel(color(black)("g solution"))) × "55 g alcohol"/(100 color(red)(cancel(color(black)("g solution")))) = "13.9 g alcohol"

25.3 color(red)(cancel(color(black)("g solution"))) × "44 g water"/(100 color(red)(cancel(color(black)("g solution")))) = "11.1 g water"

25.3 color(red)(cancel(color(black)("g solution"))) × "1 g NaCl"/(100 color(red)(cancel(color(black)("g solution")))) = "0.25 g NaCl"

The density of ethanol is $\text{0.789 g/mL}$.

∴ The volume of ethanol is

13.9 color(red)(cancel(color(black)("g ethanol"))) × 1 "mL ethanol"/(0.789 color(red)(cancel(color(black)("mL ethanol")))) = "17.6 mL ethanol"

The density of water is $\text{0.998 g/mL}$.

∴ The volume of water is

11.1 color(red)(cancel(color(black)("g water"))) × "1 mL water"/(0.998 color(red)(cancel(color(black)("g water")))) = "11.1 mL water".

To make the solution, you need $\text{17.6 mL ethanol, 11.1 mL water}$, and $\text{0.25 g NaCl}$.