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Determine the pOH of each solution.(a) [H3O+] = 8.3 × 10?10 M(b) [H3O+] = 1.6 × 10?7

Chapter 14, Problem 82P

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QUESTION:

Determine the pOH of each solution.

(a) \(\mathrm{[H_3O^+]=8.3 \times 10^{-10} ~M}\)

(b) \(\mathrm{[H_3O^+]=1.6 \times 10^{-7} ~M}\)

(c) \(\mathrm{[H_3O^+]=7.3 \times 10^{-2} ~M}\)

(d) \(\mathrm{[OH^-]=4.32 \times 10^{-4} ~M}\)

Equation Transcription:

Text Transcription:

[H_3O^+]=8.3 x 10^{-10} M

[H_3O^+]=1.6 x 10^{-7} M

[H_3O^+]=7.3 x 10^{-2} M

[OH^-]=4.32 x 10^{-4} M

Questions & Answers

QUESTION:

Determine the pOH of each solution.

(a) \(\mathrm{[H_3O^+]=8.3 \times 10^{-10} ~M}\)

(b) \(\mathrm{[H_3O^+]=1.6 \times 10^{-7} ~M}\)

(c) \(\mathrm{[H_3O^+]=7.3 \times 10^{-2} ~M}\)

(d) \(\mathrm{[OH^-]=4.32 \times 10^{-4} ~M}\)

Equation Transcription:

Text Transcription:

[H_3O^+]=8.3 x 10^{-10} M

[H_3O^+]=1.6 x 10^{-7} M

[H_3O^+]=7.3 x 10^{-2} M

[OH^-]=4.32 x 10^{-4} M

ANSWER:

Solution: Here, we are going to determine the pOH of the given solutions.

Step1:

In pure water, one H2O molecule donates proton and acts as an acid and another water molecule accepts a proton and acts as a base at the same time. The following equilibrium exists:

H2O(l) + H2O(l) ------> H3O+(aq) + OH-(aq)

The equilibrium constant for the reaction is given by:

                                Kw  = [H3O+][OH]        -----(1)

Where, Kw is called the ionic product of water and its value is 1 x 10-14 M2.

moreover, pH + pOH =14

Where, pOH =  - log[OH- ] and pH = - log[H+ ]

Step2:

  1. Given, [H3O+] = 8.3 x 10-10 M

From equation (1), [OH] = Kw / [H3O+]

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