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Taking into account the definition of dilution and molarity, the molarity of the diluted solution is 0.283 M and 0.0168 moles of HC₂H₃O₂ are diluted to 59.37 mL.
First of all, you have to know that when it is desired to prepare a less concentrated solution from a more concentrated one, it is called dilution.
In others words, dilution is the process of reducing the concentration of solute in solution, which is accomplished by simply adding more solvent to the solution at the same amount of solute.
In a dilution the amount of solute does not change, but as more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.
A dilution is mathematically expressed as:
Ci×Vi = Cf×Vf
where
In this case, 14.48 mL of 1.161 M HC₂H₃0₂ is diluted to 59.37 mL. So:
Replacing in the mathematical expression for the dilution:
1.161 M× 0.01448 L= Cf× 0.05937 L
Solving:
[tex]Cf= \frac{1.161 Mx 0.01448 L}{0.05937 L}[/tex]
Cf= 0.283 M
Then, the molarity of the diluted solution is 0.283 M.
On the other side, molarity is the number of moles of solute that are dissolved in a given volume.
Molarity is determined by:
[tex]Molarity=\frac{number of moles }{volume}[/tex]
Molarity is expressed in units [tex]\frac{moles}{liter}[/tex].
In this case, you know that:
Replacing in the definition of molarity:
[tex]0.283 M=\frac{number of moles }{0.05937 L}[/tex]
Solving:
number of molarity= 0.283 M×0.05937 L
number of molarity= 0.0168 moles
Finally, 0.0168 moles of HC₂H₃O₂ are diluted to 59.37 mL.
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