A 230.0-mL sample of a 0.275 M solution is left on a hot plate overnight; the following morning the solution is 1.15 M. What volume of solvent has evaporated from the 0.275 M solution?

Respuesta :

As

M1V1=M2V2

so (230)(.275) = (1.15)(x) x = 63.25/(1.15) x = 55 mL

Answer: The volume of solvent evaporated is 173.57 mL

Explanation:

[tex]\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution (in mL)}}[/tex]    .....(1)

Molarity of solution = 0.275 M

Volume of solution = 230.0 mL

Putting values in equation 1, we get:

[tex]0.275M=\frac{\text{Moles of solution}\times 1000}{230.0}\\\\\text{Moles of solution}=\frac{0.275\times 230}{1000}=0.0632mol[/tex]

As, the moles of solution remains the same.

When solvent gets evaporated, the volume of the solution is calculated by using equation 1:

Moles of solution = 0.0632 moles

Molarity of the solution = 1.15 M

Putting values in equation 1, we get:

[tex]1.15=\frac{0.0632\times 1000}{\text{Volume of solution}}\\\\\text{Volume of solution}=\frac{0.0632\times 1000}{1.15}=56.43mL[/tex]

Volume of solution evaporated = (230.0 - 56.43) mL = 173.57 mL

Hence, the volume of solvent evaporated is 173.57 mL