A sample of 25.0 mL of 0.120 M Ca(OH)2(aq) is titrated with 0.150 M HCl(aq). What volume of HCl(aq) is needed to completely neutralize the Ca(OH)2(aq)

Respuesta :

Answer:

[tex]V_{HCl}=48.0 mL[/tex]

Explanation:

Hello!

In this case, since the reaction between calcium hydroxide and hydrochloric acid shows a 2:1 mole ratio between them:

[tex]2HCl+Ca(OH)_2\rightarrow CaCl_2+2H_2O[/tex]

We need to use the following mole ratio:

[tex]2n_{Ca(OH)_2}=n_{HCl}[/tex]

That can be written in volumes and concentrations:

[tex]2M_{Ca(OH)_2}V_{Ca(OH)_2}=M_{HCl}V_{HCl}[/tex]

Thus, we solve for the volume of HCl as it is the unknown:

[tex]V_{HCl}=\frac{2M_{Ca(OH)_2}V_{Ca(OH)_2}}{M_{HCl}}[/tex]

Therefore, we plug in to obtain:

[tex]V_{HCl}=\frac{2*0.120M*25.0mL}{0.150M} \\\\V_{HCl}=48.0 mL[/tex]

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