What mass of Na2CrO4 is required to precipitate all of the silver ions from 75.0 mL of a 0.100 M solution of AgNO3

Respuesta :

The mass of [tex]Na_2CrO_4[/tex] required will be 0.6075 g.

Calculation of mass:

The reaction:

[tex]Na_2CrO_4 + 2AgNO_3 \rightarrow Ag_2CrO_4 + 2NaNO_3[/tex]

Volume of [tex]AgNO_3[/tex] = 75 mL

Concentration of [tex]AgNO_3[/tex] = 0.100 M

Step 1:

Molarity is moles of solute in 1000 mL of the solution.

[tex]M=\frac{n}{V}\times 1000\\\\ n=\frac{M\times V}{1000} \\\\n=\frac{0.100\times 75}{1000}\\\\n= 0.0075[/tex]

Moles of [tex]AgNO_3[/tex] = 0.0075

Step 2:

From the above equation,

2 moles of [tex]AgNO_3[/tex] is precipitated by 1 mole of [tex]Na_2CrO_4[/tex]

So, 0.0075 moles will be precipitated by-

[tex]\frac{1}{2}\times 0.0075[/tex] moles of [tex]Na_2CrO_4[/tex]

= 0.00375 moles of [tex]Na_2CrO_4[/tex]

Step 3:

[tex]mole=\frac{Given \,weight}{Molar\, mass} \\[/tex]

Molar mass of [tex]Na_2CrO_4[/tex] = 162 g/mol

[tex]0.00375=\frac{x}{162} \\x= 0.00375\times 162\\x= 0.6075 g[/tex]

So, Mass of [tex]Na_2CrO_4[/tex] required will be 0.6075 g.

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