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Calculate the molarity when 1.24 g AgNO3 is dissolved to make 125 mL solution. Round to two significant digits.

Respuesta :

Answer:

Molarity=0.0058M

Explanation:

Given the weight of AgN[tex]O_{3}[/tex] is(w) 1.24g

We know that the molecular weight of AgN[tex]O_{3}[/tex] is(W) 169.87g/mol.

Given the volume of the solution is(V) 125ml.

Here solute is silver nitrate and the solvent is water.

We know that

[tex]Molarity=\frac{number of moles of solute}{total volume of the solution int litres}[/tex]

We know that number of moles=weight/molecular weight

[tex]n= \frac{1.24}{169.87}[/tex]=   [tex]7.3*10^{-3}[/tex]

volume of the solution(V)=125/1000=0.125L

Now

Molarity=n/V

M=  [tex]\frac{7.3*10^{-3} }{0.125}[/tex]   =0.00584M

0.058 mol/L

Explanation:

       [tex]\textrm{Molarity of a solution}=\frac{\textrm{Number of moles of solvent}}{\textrm{Volume of solution in Liters}}[/tex]

       We are given a [tex]125mL[/tex] solution which contains [tex]1.24g[/tex] of [tex]AgNO_{3}[/tex].

       To calculate number of moles of [tex]AgNO_{3}[/tex] present, we need to find it's molar mass from charts. Molar Mass of [tex]AgNO_{3}[/tex] is known to be [tex]169.87\frac{g}{Mol}[/tex].

       Number of moles of [tex]AgNO_{3}[/tex] present = [tex]\frac{\textrm{Given weight}}{\textrm{Molar Mass}}\textrm{ = }\frac{1.24g}{169.87\frac{g}{Mol}}\textrm{ = }0.0073mol[/tex]

       Molarity = [tex]\frac{0.0073mol}{0.125L}=0.0584\frac{mol}{L}[/tex]

∴ Molarity of given [tex]AgNO_{3}[/tex] solution = [tex]0.058\frac{mol}{L}[/tex]

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