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What is the molarity of the solution that results when 25. 0 mL of 0. 513 M solution is diluted to 500. 0 mL? M.

Sagot :

Molarity is the molar concentration of the chemical species of the solute dissolved in the solvent. The molarity of the solution when diluted is 0.0257 M.

What is the relation between molarity and dilution?

The molar concentration or the molarity of the solution is inversely proportional to the dilution. An increased dilution will decrease the molarity of the solution.

The molarity is given by:

[tex]\rm Molarity = \dfrac{\text{number of moles }}{ \text{Volume of the solution in L}}[/tex]

Also, it can be shown as:

[tex]\rm M_{1}V_{1}= M_{2}V_{2}[/tex]

Given,

[tex]\rm M_{1}[/tex]  = 0.513 M

[tex]\rm V_{1}[/tex] = 25 mL

[tex]\rm M_{2}[/tex] = ?

[tex]\rm V_{2}[/tex] = 500 mL

Substitute value in the equation as:

[tex]\begin{aligned} \rm M_{1}V_{1}&= \rm M_{2}V_{2}\\\\0.513 \times 25 &= \rm M_{2} \times 500\\\\\rm M_{2} &= \dfrac{0.513 \times 25 }{500}\\\\&= 0.02565\;\rm M\end{aligned}[/tex]

Therefore, 0.0257 M is the molarity after dilution.

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