Dilution is the method of decreasing the solute concentration in the solution by adding solvent. The new volume after dilution is 147 mL.
Molarity and dilution are inversely proportional as the increase in the dilution of the solution the molarity of the solution will decrease as the number of moles of the solute will decrease.
The volume of the diluted solution can be calculated as:
[tex]\rm M_{1}V_{1} = M_{2}V_{2}[/tex]
Where,
Initial molarity = 1.75 M
Initial volume = 84 mL
Final molarity = 1.0 M
Final volume = ?
Substituting values in the equation:
[tex]\begin{aligned}\rm V_{2} &= \dfrac{\rm M_{1}V_{1} }{\rm M_{2}}\\\\&= \dfrac{1.75 \times 84.0}{1}\\\\&= 147\;\rm mL\end{aligned}[/tex]
Therefore, 147 mL is the new volume after dilution.
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