contestada

4. A 230.-mL sample of a 0.275 M solution is left on a hot plate overnight; the following morning the solution is 1.10 M. What volume of solvent has evaporated from the 0.275 M solution?

Respuesta :

Answer:

Solvent evaporated = 172.5 mL

Explanation:

Considering:

[tex]Molarity=\frac{Moles\ of\ solute}{Volume\ of\ the\ solution}[/tex]

Or,

[tex]Moles =Molarity \times {Volume\ of\ the\ solution}[/tex]

Given :

For initial concentration solution :

Molarity = 0.275 M

Volume = 230 mL

The conversion of mL to L is shown below:

1 mL = 10⁻³ L

Thus, volume = 230×10⁻³ L

[tex]Moles=0.275 \times {230\times 10^{-3}}\ moles[/tex]

Moles in the solution  = 0.06325 moles

The solvent will evaporated. Let the evaporated solvent be x mL

Left solvent = 230 - x mL = [tex]\frac{230-x}{1000}\ L[/tex]

Moles = 0.06325 moles  

Molarity = 1.10 M

So, applying in the expression for molarity as:-

[tex]1.10=\frac{0.06325}{230 - x}\times 1000[/tex]

[tex]1.1\left(230-x\right)=63.25[/tex]

[tex]x=\frac{345}{2}[/tex]

[tex]x=172.5[/tex]

Solvent evaporated = 172.5 mL