Wastewater from a cement factory contains 0.25 g of Ca²⁺ ion and 0.056 g of Mg²⁺ ion per 100.0 L of solution. The solution density is 1.001 g/mL. Calculate the Ca²⁺ and Mg²⁺ concentrations in ppm (by mass).

Respuesta :

The concentration of [tex]$Ca^{2+}[/tex] and [tex]$Mg^{2+}[/tex]  ions are 2.797 ppm and 0.212 ppm.

How to find the mass of the solution?

Density of substances

= Mass of substances / Volume of substances

Volume of gold = 100 L = 100000 mL  (Conversion factor: 1 L = 1000 mL)

Density of gold = 1.001 g/mL

substitute the values in the above equation, we get:

1.001 g/mL =  Mass of substances / 100000 mL

Mass of substances [tex]$= 1.001 * 10^{5} $g[/tex]

To estimate the concentration in ppm (by mass), we use the equation:

ppm = (Mass of solute /Mass of substances) [tex]$* 10^6[/tex]

Calculating the concentration of calcium ions:

Mass of [tex]$Ca^{2+}[/tex] ions = 0.280 g

Putting values in the above equation, we get:

ppm [tex]$(Ca^{2+}) = \frac{0.280g}{1.001*10^5}*10^6[/tex]

= 2.797 ppm

Calculating the concentration of magnesium ions:

Mass of  [tex]$Mg^{2+}[/tex] ions = 0.0220 g

Putting values in the above equation, we get:

ppm[tex]$ (Mg^{2+}) = \frac{0.0220 g}{1.001*10^5}*10^6[/tex]

= 0.212 ppm

Therefore, the concentration of [tex]$Ca^{2+}[/tex] and [tex]$Mg^{2+}[/tex] ions are 2.797 ppm and 0.212 ppm respectively.

To learn more about the mass of the solution refer to:

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