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
Answer: The volume of HCl required is 290mL, the mass of
is 0.0268g, the moles of
Step-by-step explanation:
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 =
![(0.185)/(100)* 14.5=0.0268g](https://img.qammunity.org/2022/formulas/chemistry/college/tn12wnr3fgmsd475oy2zktyyrh5y1x92q3.png)
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=(0.0268g)/(74g/mol)=0.000362 mol](https://img.qammunity.org/2022/formulas/chemistry/college/eva6stz21t6qnaqsy84a9xlevq0scp7omi.png)
Moles of
present =
![(2* 0.000362)=0.000724mol](https://img.qammunity.org/2022/formulas/chemistry/college/r50h5f75s4xc1ayy5zth23intd3vam0fso.png)
The chemical equation for the neutralization of calcium hydroxide and HCl follows:
![Ca(OH)_2+2HCl\rightarrow CaCl_2+2H_2O](https://img.qammunity.org/2022/formulas/chemistry/college/rp4a3oszvbjuafhiptdzig2885do36u47o.png)
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* 10^(-3)](https://img.qammunity.org/2022/formulas/chemistry/college/ddwf7pnonvu6lbev2c6yxus6f66msqdscm.png)
Putting values in equation 2, we get:
![2.50* 10^(-3)mol=\frac{0.000724* 1000}{\text{Volume of solution}}\\\\\text{Volume of solution}=(0.000725* 1000)/(2.50* 10^(-3))=290mL](https://img.qammunity.org/2022/formulas/chemistry/college/j75otfrwb8ocongvhx8jzrlvur5fsk9m74.png)
Hence, the volume of HCl required is 290mL, the mass of
is 0.0268g, the moles of