Solid Al(NO3)3 is added to distilled water to produce a solution in which the concentration on nitrate, [NO3^-], is 0.10 M. What is the concentration of aluminum ion, [Al^3+] in this solution?

Respuesta :

Answer:

The concentration of nitrate ion [tex]NO_{3}^{-}[/tex]  is 0.033 M.

Explanation:

[tex]Al(NO_{3})_{3} \rightarrow Al^{3+} + NO_{3}^{-}[/tex]

1 mole of [tex][Al^{3+}][/tex]  = 3 mole [tex]NO_{3}^{-}[/tex]

Let  [tex][NO_{3}^{-}][/tex]  = 3y

then according to above reaction,

[tex][Al^{3+}][/tex] = y

[tex][NO_{3}^{-}][/tex] = 0.10 M (given)

[tex][Al^{3+}][/tex] = ?

3y = 0.10 M

[tex]y = \frac{0.1}{3}[/tex]

y = 0.033 M

So ,concentration of [tex][Al^{3+}][/tex] = y = 0.033 M

Solid [tex]Al(NO_3)_3[/tex] is added to distilled water to produce a solution.

The Chemical equation:

[tex]Al(NO_3)_3----->Al^{3+}+NO_3^-[/tex]

1 mole of aluminum ion produces 3 moles of nitrate ion.

Let the concentration of [tex][NO_3^-][/tex] be 3x.

So, from the given chemical equation:

[tex][Al^{3+}]=x[/tex]

Given:

[tex][NO_3^-][/tex] =0.01 M

To find:

[tex][Al^{3+}]=?[/tex]

[tex]3x=0.01M\\\\x=\frac{0.01}{3} \\\\x=0.033M[/tex]

Thus, the concentration of aluminum ion, [tex][Al^{3+}][/tex] in this solution will be 0.033M.

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