A solute with a density of 1.15 g/mL and mass of 45.95 g is dissolved in 250. mL of water. What is the volume of the solute, and what is the volume percent (v/v)?

Respuesta :

d(solute) = 1,15 g/mL.
m(solute) = 45,95 g.
V(solute) = m(solute) ÷ d(solute).
V(solute) = 45,95 g ÷ 1,15 g/mL.
V(solute) = 39,95 mL.
V(solution) = V(solute) + V(solvent).
V(solution) = 39,95 mL + 250 mL.
V(solution) = 289,95 mL.
v/v = V(solute) ÷ V(solution) · 100%.
v/v = 39,95 mL ÷ 289,95 mL · 100%.
v/v = 13,77 %.

Answer:

39.95 mL is the volume of the solute

13.77% is the volume percent (v/v).

Explanation:

Density of solute = 1.15 g/mL

Mass of solute = 45.95 g

Volume of the solute = V

[tex]Density=\frac{Mass}{Volume}[/tex]

[tex]V=\frac{45.95 g}{1.15 g/mL}=39.95 mL[/tex]

Volume of the solvent that water = 250 mL

Volume of the solution = 250 mL + 39.95 mL = 289.95 mL

Volume percent (v/v):

[tex]\frac{\text{Volume of solute}}{\text{Volume of the solution}}\times 100[/tex]

[tex](v/v)\%=\frac{39.95 mL}{289.95 mL}\times 100=13.77\%[/tex]

39.95 mL is the volume of the solute

13.77% is the volume percent (v/v).