Question

Question #5ab50

Answer 1

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

Explanation:

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