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Chapter 9: QFE (page 207)

Find the pH of 0.050 M sodium butanoate (the sodium salt ofbutanoic acid, also called butyric acid).

Short Answer

Expert verified

The pH of 0.050M Sodium butanoate is=8.76

Step by step solution

01

Define base dissociation constant.

The K b base dissociation constant is a measure of basicity, or the strength of the base in general.

The value of $K_{b} K_{b} = \frac{[{BH}^{+}] [{OH}^{-}]}{[B]}$

Where $K_{b}$ is called as base dissociation constant.

The value of $K_{w}$ is calculated by the formula,

$K_{w} = K_{a} \times K_{b}$

02

Step 2:Calculate the PH of 0.050M sodium bicarbonate

The chemical equation can be given as,

${CH}_{3} {CH}_{2} {CH}_{2} {CO}_{2}^{-} + H_{2} O ֏ {CH}_{3} {CH}_{2} {CH}_{2} {CO}_{2} H + {OH}^{-} 8 F - x x + x$

The value of $K_{b}$ is calculated from the value of $K_{w}$ and $K_{a}$

$K_{b} = \frac{K_{w}}{K_{a}} = 6.58 \times 10^{- 10} \frac{x^{2}}{F - x} = \frac{x^{2}}{0.050 - x} = K_{b} x = \sqrt{(0.050) (6.58 \times 10^{- 10}) x} = 5 . 7_{4} \times 10^{- 6} M$

The pH of weak base is calculated using the equation,

$pH = [H^{+}] = \frac{K_{w}}{[OH]} pH = - \log [H^{+}] pH = - \log [5 . 7_{4} \times 10^{- 6} M] pH = 8.76$

The pH of $0.050 M$ Sodium butanoate $= 8.76$

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Most popular questions from this chapter

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

The pH of 0.010 M o-cresol is 6.16. Find pKa for this weak acid.

Use the reaction quotient, Qto explain why the fraction of dissociation of weak acid, HA , increases when the solution is diluted by a factor of 2

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

2-nitrophenol (FM 139.11) in 0.250 L?

(a) Calculate the pH of a solution prepared by mixing $0.00100 mol$ of the base $B (K_{b} = 10^{- 2.00})$ with $0.0200 mol$ of ${BH}^{+} {Br}^{-}$ and diluting to $1.00 L$ .First calculate the pH by assuming $[B] = 0.0100$ and $[{BH}^{+}] = 0.0200 M$ . Compare this answer with the pH calculated without making such an assumption.

(b) After working part (a) by hand, use Excel Goal Seck to find the same answers.

See all solutions

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