The question is incomplete, the complete question is:
The solubility of slaked lime,
, in water is 0.185 g/100 ml. You will need to calculate the volume of
M HCl needed to neutralize 14.5 mL of a saturated
<u>Answer:</u> The volume of HCl required is 290mL, the mass of
is 0.0268g, the moles of
<u>Explanation:</u>
Given values:
Solubility of
= 0.185 g/100 mL
Volume of
= 14.5 mL
Using unitary method:
In 100 mL, the mass of
present is 0.185 g
So, in 14.5mL. the mass of
present will be =![\frac{0.185}{100}\times 14.5=0.0268g](https://tex.z-dn.net/?f=%5Cfrac%7B0.185%7D%7B100%7D%5Ctimes%2014.5%3D0.0268g)
The number of moles is defined as the ratio of the mass of a substance to its molar mass.
The equation used is:
......(1)
Given mass of
= 0.0268 g
Molar mass of
= 74 g/mol
Plugging values in equation 1:
![\text{Moles of }Ca(OH)_2=\frac{0.0268g}{74g/mol}=0.000362 mol](https://tex.z-dn.net/?f=%5Ctext%7BMoles%20of%20%7DCa%28OH%29_2%3D%5Cfrac%7B0.0268g%7D%7B74g%2Fmol%7D%3D0.000362%20mol)
Moles of
present = ![(2\times 0.000362)=0.000724mol](https://tex.z-dn.net/?f=%282%5Ctimes%200.000362%29%3D0.000724mol)
The chemical equation for the neutralization of calcium hydroxide and HCl follows:
![Ca(OH)_2+2HCl\rightarrow CaCl_2+2H_2O](https://tex.z-dn.net/?f=Ca%28OH%29_2%2B2HCl%5Crightarrow%20CaCl_2%2B2H_2O)
By the stoichiometry of the reaction:
Moles of
= Moles of
= 0.000724 mol
The formula used to calculate molarity:
.....(2)
Moles of HCl = 0.000724 mol
Molarity of HCl = ![2.50\times 10^{-3}](https://tex.z-dn.net/?f=2.50%5Ctimes%2010%5E%7B-3%7D)
Putting values in equation 2, we get:
![2.50\times 10^{-3}mol=\frac{0.000724\times 1000}{\text{Volume of solution}}\\\\\text{Volume of solution}=\frac{0.000725\times 1000}{2.50\times 10^{-3}}=290mL](https://tex.z-dn.net/?f=2.50%5Ctimes%2010%5E%7B-3%7Dmol%3D%5Cfrac%7B0.000724%5Ctimes%201000%7D%7B%5Ctext%7BVolume%20of%20solution%7D%7D%5C%5C%5C%5C%5Ctext%7BVolume%20of%20solution%7D%3D%5Cfrac%7B0.000725%5Ctimes%201000%7D%7B2.50%5Ctimes%2010%5E%7B-3%7D%7D%3D290mL)
Hence, the volume of HCl required is 290mL, the mass of
is 0.0268g, the moles of