Respuesta :

Explanation:

It is known that the density of water is 1 kg/L which is also equal to 1000 g/L. And, relation between mass, density and volume is as follows.

              Density = [tex]\frac{mass}{volume}[/tex]

or,             mass = Density × volume

Hence, putting the given values into the above formula as follows.

                   mass = Density × volume

                             = 1000 g/L × 1.20 L

                             = 1200 g

Also, we are given that concentration of As = 10 ppb = [tex]\frac{10}{10^{9}}[/tex]

    Mass of As = concentration x mass of water

                       = [tex]\frac{10}{10^{9}} \times 1200[/tex]

                      = [tex]1.2 x 10^(-5) g [/tex]

Therefore, moles of [tex]Na_{3}AsO_{4}[/tex] are as follows.

              moles of As = [tex]\frac{mass}{\text{molar mass of As}}[/tex]

          = [tex]\frac{1.2 x 10^(-5)}{74.92}[/tex]

         = [tex]1.601 \times 10^(-7)[/tex] mol

Hence, calculate the mass of [tex]Na_{3}AsO_{4}[/tex] as follows.

  Mass = moles x molar mass of [tex]Na_{3}AsO_{4}[/tex]

            = [tex]1.601 \times 10^(-7) \times 207.89 [/tex]

             = [tex]332.83 \times 10^{-7}[/tex]

            = [tex]3.32 \times 10^(-5) g[/tex]

Thus, we can conclude that mass of given sodium arsenate is [tex]3.32 \times 10^(-5) g[/tex].