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If 19.4 mL of a Ca(OH)₂ solution are needed to neutralize 31.5 mL of 0.1 M HC₂H302 solution, what is the concentration (molarity) of theCa(OH)₂ solution?Select one:O a. 0.009 MO b. 1.6 MOC 0.08 MO d. 0.1 MI put answer b 1.6 not sure what i did wrong?

Sagot :

Answer:

[tex]C:\text{ 0.08 M}[/tex]

Explanation:

Here, we want to get the molarity of the base

To get this, we start by writing the balanced equation of reaction between the base and the acid

We have that as:

[tex]Ca(OH)\placeholder{⬚}_{2(aq)}\text{ + 2HC}_2H_3O_{2(aq)}\text{ }\rightarrow\text{ Ca\lparen CH}_3COO)\placeholder{⬚}_{2(aq)}\text{ + 2H}_2O_{(l)}[/tex]

Now, we proceed to write the standardization equation

We have that as:

[tex]\frac{C_aV_a}{C_bV_b}\text{ = }\frac{n_a}{n_b}[/tex]

where:

Ca is the molarity of the acid which is 0.1M

Va is the volume of the acid which is 31.5 mL

Cb is the molarity of the base which is what we want to calculate

Vb is the volume of the base which is 19.4 mL

na is the number of moles of the acid in the balanced equation which is 2

nb is the number of moles of the base which is 1 in the balanced equation

Substituting the values, we have:

[tex]\begin{gathered} \frac{0.1\text{ }\times\text{ 31.5}}{C_b\times\text{ 19.4}}\text{ = }\frac{2}{1} \\ \\ C_b\text{ = }\frac{31.5\text{ }\times\text{ 0.1}}{2\times19.4}\text{ = 0.08 M} \end{gathered}[/tex]

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