An aqueous solution of calcium hydroxide is standardized by titration with a 0.164 M solution of hydroiodic acid. If 17.2 mL of base are required to neutralize 14.7 mL of the acid, what is the molarity of the calcium hydroxide solution?

Respuesta :

Answer:

0.07 M

Explanation:

We have to start with the reaction between the Calcium hydroxide and the Hydroiodic acid:

[tex]Ca(OH)_2~+~HF~->~CaF_2~+~H_2O[/tex]

Then we have to balance the reaction:

[tex]Ca(OH)_2~+~2HF~->~CaF_2~+~2H_2O[/tex]

We have to keep in mind that we have to do use the volume in "L" units (14.7 mL= 0.0147L). When we plug the values into the equation we will get:

[tex]M=\frac{#mol}{L}[/tex]

[tex]0.164~M=\frac{#mol}{0.0147}[/tex]

[tex]#mol=~0.0024[/tex]

Now, we have to use the information from the balanced reaction to finding the moles of Calcium hydroxide. When we check the reaction we found a molar ratio of 1:2 ( 1 mol of [tex]Ca(OH)_2[/tex]: 2 mol of  [tex]HF[/tex]). With this molar ratio, we can find the moles of [tex]HF[/tex].

[tex]0.0024~mol~HF\frac{1~mol~Ca(OH)_2}{2~mol~HF}[/tex]

[tex]0.0012~mol~Ca(OH)_2[/tex]

Finally, to find the molarity we have to divide the moles of [tex]Ca(OH)_2[/tex] and the volume of [tex]Ca(OH)_2[/tex] in liters (17.2 mL=0.0172L) so:

[tex]M=\frac{0.012}{0.0172}=0.07[/tex]

The molarity of [tex]Ca(OH)_2[/tex] is 0.07M.