Respuesta :

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

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