Answer :
To have 175ml is needed of a 9.0M [tex]H_{2} SO_{4}[/tex] solution are needed to make 0.45 L of a 3.5 M (Morality).
How to calculate the molarity to make the solution?
The Morality unit (M) is [tex]$ \frac{\text { moles of solute }}{\text { liters of solution }}=\mathrm{mol} / \mathrm{L} $[/tex]
The volume of a solution grows when it is diluted, while the solute concentration stays constant.
The following is the formula for dilution of a solution:
[tex]\mathrm{M}_1 \mathrm{~V}_1=\mathrm{M}_2 \mathrm{~V}_2[/tex]
here [tex]\mathrm{M}_1 , \mathrm{M}_2[/tex] represents morality and [tex]\mathrm{~V}_1 , \mathrm{~V}_2[/tex] represents volume of solution in litres (L).
We are given the values: [tex]&\mathrm{M}_1=9.0 \mathrm{M}=9.0 \mathrm{~mol} / \mathrm{L} \\&\mathrm{M}_2=3.5 \mathrm{M}=3.5 \mathrm{~mol} / \mathrm{L} \\&\mathrm{V}_2=0.45 \mathrm{~L}[/tex]
Now to calculate the volume of the solution i.e. [tex]\mathrm{V}_1=\frac{\mathrm{M}_2 \mathrm{~V}_2}{\mathrm{M}_1}[/tex]
[tex]$\mathrm{V}_1=\frac{3.5 \mathrm{M} \times 0.45 \mathrm{~L}}{9.0 \mathrm{M}}=0.175 \mathrm{~L}$[/tex]
In milliliters [tex]$\mathrm{V}_1=0.175\mathrm{~L} \times \frac{1000 \mathrm{mL}}{1 \mathrm{L}}=175 \mathrm{~mL}$[/tex]
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