Question #5ab50

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Answer 1 · 2016-08-31T00:03:35

$color(orange)("1.1 g/mL"$

To calculate the density of the solution, we have to use the formula below:

$color(blue)("Density")= color(red)(" (Mass)/(Volume)")$

Usually, density will have units of $g/(mL)$ when dealing with a liquid or units of $g/(cm^3)$ when dealing with a solid.
The mass has units of grams, $g$ .
The volume can have units of milliliters, $mL$

Let's determine the mass of the solution:

Mass of solution = mass of solute + mass of solvent

$color(red)("solvent:"$ $73 cancel "mL" xx (1g)/(cancel"mL")$ = 73g

( I used the density of water, 1 g/mL, to determine the mass of solvent.)

The mass of solute (23 g) is already given, so we add the two values together to obtain the mass of the solution:

$23 g + 73g = 96g$

Now, we need the volume of solution:

Volume of solution = volume of solute + volume of solvent:

$color(blue)("solute:")$ $23 cancel gxx (1 mL)/(2.165cancelg)$ = 10.62 mL

( I used the density of table salt, 2.165 g/mL, to determine the volume of the solute)

The volume of solvent (73mL) is already provided, so the total volume of the solution is:

$10.62 mL + 73 mL = 83.62 mL$

Divide the mass of the solution by the volume of the solution to obtain the density:

Density = $(96g)/(83.62mL)$ = 1.1 g/mL