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Chapter 9: Q22P (page 209)

Calculate the fraction of association (伪) for 1.00 脳 10^-1, 1.00 脳10^-2, and 1.00 脳10^-12 M sodium acetate. Does 伪 increase or decrease with dilution?

Short Answer

Expert verified

The fraction of dissociation, $a = 0.0076 %, 0.024 %, and 0.57 %$ .

Step by step solution

01

Definition of association.

It is defined as the aggregation of atoms or molecules into larger units.

02

Step: Consider a reaction.

${CH}_{3} {CO}_{2}^{-} + H_{2} O 鈬� {CH}_{3} {CO}_{2} H + {OH}^{-} [{CH}_{3} {CO}_{2}^{-}] = F - x [{CH}_{3} {CO}_{2} H] = [{OH}^{-}] = x$

03

Calculating value of Kb .

We will use this equation for following:

$K_{b} = \frac{x^{2}}{F - x} F = 10^{- 1} x = 7.6 脳 10^{- 6} F = 10^{- 2} x = 2.4 脳 10^{- 6} F = 10^{- 12},$

We can see that dilution is so high that $pH = 7$ we can use the following:

localid="1654945563356" $[HA] = \frac{K_{b} [A^{-}]}{[{OH}^{-}]} = 5.7 脳 10^{- 3} [A^{-}]$

04

Calculate fraction of dissociation.

$a = \frac{[HA]}{[HA] + [A^{-}]} = \frac{5.7 脳 10^{- 3} [A^{-}]}{(5.7 脳 10^{- 3} [A^{-}]) + [A^{-}]} a = 0.57 %$

Now, we can conclude that more the dilution of solution greater the fraction of dissociation.

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Most popular questions from this chapter

${Cr}^{3 +}$ is acidic by virtue of the hydrolysis reaction ${Cr}^{3 +} H_{2} O \overset{K_{aI}}{鈬�} Cr {(OH)}^{2 +} + H^{+}$ . [Further reactions produce $Cr {(OH)}_{2,}^{+} Cr {(OH)}_{3}$ and.] Find the value role="math" localid="1654864894349" $K_{aI}$ of in Figure 6-9. Considering only the $K_{aI}$ reaction, find pH value ofrole="math" localid="1654865110221" $0.010 MCr {({CIO}_{4})}_{3}$ What fraction of chromium is in the formrole="math" localid="1654865163335" $Cr {(OH)}^{2 +}$ ?

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How many mL of 0.500 M NaOH should be added to 10.0 g of tris hydrochloride to give a pH of 7.40 in a final volume of 500 mL?

Write the chemical reaction whose equilibrium constant is

(a) $K_{a}$ for benzoic acid, $C_{6} H_{5} {CO}_{2} H$

(b) $K_{b}$ for benzoate ion, $C_{6} H_{5} {CO}_{2}^{2 -}$

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(b)Calculate the pH and fraction of dissociation of 10^-10.00 M barbituric acid.

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