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?
Answer: The volume of solvent evaporated is 173.57 mL
Explanation:
\(\text{Molarity of the solution}=\frac{\text{Moles of solute}\times 1000}{\text{Volume of solution (in mL)}}\) .....(1)
Molarity of solution = 0.275 M
Volume of solution = 230.0 mL
Putting values in equation 1, we get:
\(0.275M=\frac{\text{Moles of solution}\times 1000}{230.0}\\\\\text{Moles of solution}=\frac{0.275\times 230}{1000}=0.0632mol\)
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:
\(1.15=\frac{0.0632\times 1000}{\text{Volume of solution}}\\\\\text{Volume of solution}=\frac{0.0632\times 1000}{1.15}=56.43mL\)
Volume of solution evaporated = (230.0 - 56.43) mL = 173.57 mL
Hence, the volume of solvent evaporated is 173.57 mL