Answer: 0.8541 grams of HCl will be required.
Explanation: Moles can be calculated by using the formula:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]
Given mass of [tex]Al(OH)_3[/tex] = 0.610 g
Molar mass of [tex]Al(OH)_3[/tex] = 78 g/mol
[tex]\text{Number of moles}=\frac{0.610g}{78g/mol}[/tex]
Number of moles of [tex]Al(OH)_3[/tex] = 0.0078 moles
The reaction between [tex]Al(OH)_3[/tex] and HCl is a type of neutralization reaction because here acid and base are reacting to form an salt and also releases water.
Chemical equation for the above reaction follows:
[tex]Al(OH)_3+3HCl\rightarrow AlCl_3+3H_2O[/tex]
By Stoichiometry,
1 mole of [tex]Al(OH)_3[/tex] reacts with 3 moles of HCl
So, 0.0078 moles of [tex]Al(OH)_3[/tex] will react with [tex]\frac{3}{1}\times 0.0078[/tex] = 0.0234 moles
Mass of HCl is calculated by using the mole formula, we get
Molar mass of HCl = 36.5 g/mol
Putting values in the equation, we get
[tex]0.0234moles=\frac{\text{Given mass}}{36.5g/mol}[/tex]
Mass of HCl required will be = 0.8541 grams