A chemist prepares a solution of magnesium chloride MgCl2 by measuring out 49.mg of MgCl2 into a 100.mL volumetric flask and filling to the mark with distilled water.Calculate the molarity of Cl−anions in the chemist's solution.Be sure your answer is rounded to the correct number of significant digits.

Respuesta :

Answer:  Molarity of [tex]Cl^-[/tex] anions in the chemist's solution is 0.0104 M

Explanation:

Molarity : It is defined as the number of moles of solute present per liter of the solution.

Formula used :

[tex]Molarity=\frac{n\times 1000}{V_s}[/tex]

where,

n= moles of solute

[tex]Moles=\frac{\text{Given mass}}{\text{Molar mass}}=\frac{0.049g}{95g/mol}=5.2\times 10^{-4}moles[/tex]  

[tex]V_s[/tex] = volume of solution in ml = 100 ml

Now put all the given values in the formula of molarity, we get

[tex]Molarity=\frac{5.2\times 10^{-4}moles\times 1000}{100ml}=5.2\times 10^{-3}mole/L[/tex]

Therefore, the molarity of solution will be [tex]5.2\times 10^{-3}mole/L[/tex]

[tex]MgCl_2\rightarrow Mg^{2+}+2Cl^-[/tex]

As 1 mole of [tex]MgCl_2[/tex] gives 2 moles of [tex]Cl^-[/tex]

Thus [tex]5.2\times 10^{-3}[/tex]  moles of [tex]MgCl_2[/tex] gives =[tex]\frac{2}{1}\times 5.2\times 10^{-3}=0.0104[/tex]

Thus the molarity of [tex]Cl^-[/tex] anions in the chemist's solution is 0.0104 M