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Chapter 9: Q6P (page 208)

Find theand fraction of dissociation ( a ) of a $0.100 M$ solutionof the weak acid $HA$ with $Ka = 1.00 脳 10^{- 5}$

Short Answer

Expert verified

The pH of the weak acid HA is 3.0.

The fraction of disassociation (伪) is 9.95 脳 10^-3.

Step by step solution

01

Step: Definition of disassociation and pH.

Disassociation is the process of breaking up of compound into simpler form that are capable of re-combing under other conditions.

pH is defined as a quantitative measure of acidity and basicity. Compounds having pH more than 7 is acidic in nature while pH when shown above than 7 is basic in nature. When comes 7, compound is said to be neutral.

02

Step: Consider value of [HA].

The value of $Ka = 1.00 脳 10^{- 5}$ is given in the question.

So,

We will consider that:

$x = [H^{+}] = [A^{-}] 0.1 - x = [HA]$

03

Step: Calculating pH

$K_{A} = \frac{x^{2}}{0.1 - x} 1.00 脳 10^{- 5} = \frac{x^{2}}{0.1 - x} x = 9.95 脳 10^{- 4} M$

Now, consider that

$X = [H^{+}] = [A^{-}],$

the pH would be:

$pH = - \log (X) pH = - \log [H^{+}] pH = - \log (9.95 脳 10^{- 4}) = 3.00$

04

Calculate fraction of disassociation.

$X = [A^{-}] = 9.95 脳 10^{- 4} 0.1 - X = [HA] 0.1 - (9.95 脳 10^{- 4}) a = \frac{[A^{-}]}{[A^{-}] + [HA]} = \frac{9.95 脳 10^{- 4}}{9.95 脳 10^{- 4} + (0.1 - 9.95 脳 10^{- 4}))} a = 9.95 脳 10^{- 3}$

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Most popular questions from this chapter

Which of the following acids would be most suitable for preparing a buffer of pH 3.10? (i) hydrogen peroxide; (ii) propanoic acid; (iii) cyanoacetic acid; (iv) 4-aminobenzenesulfonic acid.

What is the pH of a solution prepared by dissolving 1.23 of

2-nitrophenol (FM 139.11) in 0.250 L?

Which of the following bases would be most suitable for preparing a buffer of $pH 9.00$ ?

(i) ${NH}_{3}$ (ammonia, $K_{b} = 1.76 脳 10^{- 5}$ );

(ii) role="math" localid="1654764490555" $C_{6} H_{5} {NH}_{2}$ (aniline,role="math" localid="1654764515634" $C_{6} H_{5} {NH}_{2}$ );

(iii) $H_{2} {NNH}_{2} (hydrazine, K_{b} = 1.05 脳 10^{- 6}))$ );

(iv) $C_{6} H_{s} {NH}_{2}$ (pyridine, $K_{b} = 1.58 脳 10^{- 9})$ ).

A 0.10 M solution of a base is 2.0% hydrolzed $(伪 = 0.020)$ Find $K_{b}$

Find theand concentrations of ${({CH}_{3})}_{3} N$ and ${({CH}_{3})}_{3} {NH}^{+}$ in $0.060 M$ trimethylammonium chloride.

See all solutions

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