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Naya [18.7K]
4 years ago
8

Suppose you carry out a titration involving 3.00 molar HCl and an unknown concentration of KOH. To bring the reaction to its end

point, you add 35.3 milliliters of HCl to 105.0 milliliters of KOH. What is the concentration of the KOH solution?
Chemistry
1 answer:
snow_tiger [21]4 years ago
3 0

Answer: The concentration of the KOH solution is 1.01 M

Explanation:

According to neutralization law:

n_1M_1V_1=n_2M_2V_2

where,

n_1 = basicity of HCl = 1

n_2 = acidity of KOH = 1

M_1 = concentration of HCl = 3.00 M

M_2 = concentration of KOH = ?

V_1 = volume of HCl = 35.3 ml

V_2 = volume of KOH = 105.0 ml

Putting the values we get:

1\times 3.00\times 35.3=1\times M_2\times 105.0

M_2=1.01

Thus the concentration of the KOH solution is 1.01 M

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Which solution has a higher percent ionization of the acid, a 0.10M solution of HC2H3O2(aq) or a 0.010M solution of HC2H3O2(aq)
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The solution 0.010 M has a higher percent ionization of the acid.

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By using the dissociation of acetic acid in the water we can calculate the concentration of H₃O⁺ in the two cases:

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CH₃COOH(aq) + H₂O(l) ⇄ CH₃COO⁻(aq) + H₃O⁺(aq)   (1)

0.1 - x                                         x                     x

Ka = \frac{[CH_{3}COO^{-}][H_{3}O^{+}]}{[CH_{3}COOH]}  (2)

Where:

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1.7 \cdot 10^{-5} = \frac{x^{2}}{0.1 - x}  

1.7 \cdot 10^{-5}*(0.1 - x) - x^{2} = 0

By solving the above equation for x we have:

x = 1.29x10⁻³ M = [CH₃COO⁻] = [H₃O⁺]

Hence, the percent ionization is:      

\% I = \frac{1.29 \cdot 10^{-3} M}{0.1 M} \times 100 = 1.29 \%                      

   

2. Case 2 (0.01 M):

The dissociation constant from reaction (1) is:

Ka = \frac{[CH_{3}COO^{-}][H_{3}O^{+}]}{[CH_{3}COOH]}

With [CH₃COOH] = 0.01 M

1.7 \cdot 10^{-5} = \frac{x^{2}}{0.01 - x}  

1.7 \cdot 10^{-5}*(0.01 - x) - x^{2} = 0

By solving the above equation for x:

x = 4.04x10⁻⁴ M = [CH₃COO⁻] = [H₃O⁺]    

Then, the percent ionization for this case is:

\% I = \frac{4.04 \cdot 10^{-4} M}{0.01 M} \times 100 = 4.04 \%

As we can see, the solution 0.010 M has a higher percent ionization of the acetic acid.

Therefore, the solution 0.010 M has a higher percent ionization of the acid.

I hope it helps you!    

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