A solution is made by dissolving 54.0 g of silver nitrate in enough water to make 350.0 mL. A 10.00 mL portion of this solution is then diluted to a final volume of 250.0 mL. What is the TOTAL concentration of ions present in the final solution?0.908 M1.82 M0.0122 M0.0726 M0.0363 M

Respuesta :

Answer:

Total concentration of ions present in the final solution is 0.0726 M.

Explanation:

Mass of silver nitrate = 54.0 g

Moles of silver nitrate = [tex]\frac{54.0 g}{170 g/mol}=0.318 mol[/tex]

Volume of the solution made = V = 350.0 mL = 0.350 L

[tex]Molarity=\frac{Moles}{Volume(L)}[/tex]

[tex]M=\frac{0.318 mol}{0.35 L} =0.9086 M[/tex]

After dilution of 10.00 mL 0.9227 M solution.

[tex]M_1=0.9086 M[/tex]

[tex]V_1=10.00 mL[/tex]

[tex]M_2=?[/tex]

[tex]V_2=250.0 mL[/tex]

[tex]M_1V_1=M_2V_2[/tex]

[tex]M_2=\frac{M_1V_1}{V_2}=\frac{0.9086 M\times 10.00 mL}{250.0 mL}[/tex]

[tex]M_2=0.0363 M[/tex]

Concentration of silver nitrate after dilution = 0.0363 M

[tex]AgNO_3\rightarrow Ag^++NO_3^{-}[/tex]

[tex][AgNO_3]=[Ag^+]=[NO_3^{-}]=0.0363 M[/tex]

Total concentration of ions present in the final solution:

[tex][Ag^+]+[NO_3^{-}]=0.0363 M+0.0363 M=0.0726 M[/tex]