Question #5ab50

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