A student has 540.0 mL of a 0.1035 M aqueous solution of Na2CrO4 to use in an experiment. She accidentally leaves the container uncovered and comes back the next week to find only a solid residue. The mass of the residue is 19.12 g. Determine the chemical formula of this residue.

Respuesta :

Answer:

The chemical formula of this residue: [tex]Na_2CrO_4.10H_2O[/tex]

Explanation:

Mass of residue = 19.12

Let the formula of the residue be [tex]Na_2CrO_4.xH_2O[/tex]

Moles of residue: n

[tex]n=\frac{19.12}{162 g/mol+x\times 18 g/mol}[/tex]

Moles of sodium chromate = n'

Molarity of sodium chromate = 0.1035 M

Volume of sodium chromate solution = 540.0 mL = 0.540 L

1 mL = 0.001 L

[tex]Concentration=\frac{moles}{Volume(L)}[/tex]

[tex]0.1035 M=\frac{n}{0.540 L}[/tex]

[tex]n'=0.1035 M\times 0.540 L=0.05589 mol[/tex]

[tex]Na_2CrO_4+xH_2O\rightarrow Na_2CrO_4.xH_2O[/tex]

According to reaction,1 mole of  [tex]Na_2CrO_4[/tex] gives 1 mole of[tex]Na_2CrO_4.xH_2O[/tex]

So, n = n'

[tex]\frac{19.12}{162 g/mol+x\times 18 g/mol}=0.05589 mol[/tex]

x = 10

The chemical formula of this residue: [tex]Na_2CrO_4.10H_2O[/tex]