The highest concentration of aqueous HCL is ~ 37% by weight, and the density of this solution is 1.18 g/cm3. What is the molarity of HCl of this 37% aqueous HCl solution?

Respuesta :

Answer: The molarity of HCl of this 37% aqueous HCl solution is 12.0 M

Explanation:

Given : 37 g of HCl is dissolve in 100 g of solution.

Mass of solute (HCl) = 37 g

Mass of solution = 100 g

Density of solution = 1.18g/ml

Volume of solution =[tex]\frac{\text {mass of solution}}{\text {density of solution}}=\frac{100g}{1.18g/ml}=84.7ml[/tex]

Molarity is defined as the number of moles of solute dissolved per liter of the solution.

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

where,

n= moles of solute  

[tex]V_s[/tex] = volume of solution in ml = 1000 ml

[tex]moles of solute =\frac{\text {given mass}}{\text {molar mass}}=\frac{37g}{36.5g/mol}=1.01moles[/tex]

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

[tex]Molarity=\frac{1.01moles\times 1000}{84.7ml}=12.0mole/L[/tex]

The molarity of HCl solution is 12.0 M