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Calculate [OH ] given [H3O+] in each aqueous solution and

Chapter 14, Problem 63P

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QUESTION:

Calculate \(\mathrm{[OH^-]}\) given \(\mathrm{[H_3O^+]}\) in each aqueous solution and classify the solution as acidic or basic.

(a) \(\mathrm{[H_3O^+]=1.5 \times 10^{-9} ~M}\)

(b) \(\mathrm{[H_3O^+]=9.3 \times 10^{-9} ~M}\)

(c) \(\mathrm{[H_3O^+]=2.2 \times 10^{-6} ~M}\)

(d) \(\mathrm{[H_3O^+]=7.4 \times 10^{-4} ~M}\)

Equation Transcription:

Text Transcription:

[OH^-]

[H_3O^+]

[H_3O^+]=1.5 x 10^{-9} M

[H_3O^+]=9.3 x 10^{-9} M

[H_3O^+]=2.2 x 10^{-6} M

[H_3O^+]=7.4 x 10^{-4} M

Questions & Answers

QUESTION:

Calculate \(\mathrm{[OH^-]}\) given \(\mathrm{[H_3O^+]}\) in each aqueous solution and classify the solution as acidic or basic.

(a) \(\mathrm{[H_3O^+]=1.5 \times 10^{-9} ~M}\)

(b) \(\mathrm{[H_3O^+]=9.3 \times 10^{-9} ~M}\)

(c) \(\mathrm{[H_3O^+]=2.2 \times 10^{-6} ~M}\)

(d) \(\mathrm{[H_3O^+]=7.4 \times 10^{-4} ~M}\)

Equation Transcription:

Text Transcription:

[OH^-]

[H_3O^+]

[H_3O^+]=1.5 x 10^{-9} M

[H_3O^+]=9.3 x 10^{-9} M

[H_3O^+]=2.2 x 10^{-6} M

[H_3O^+]=7.4 x 10^{-4} M

ANSWER:

Step 1 of 5

Here, we are going to calculate hydroxyl ion concentration in each of the solutions.

In pure water, one  molecule donates a 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:

The equilibrium constant for the reaction is given by:

                                        -----(1)

Where,  is called the ionic product of water and its value is .

We can distinguish acidic, neutral and basic aqueous solutions by the relative values of the  and OH? concentrations:

                        Acidic:

                        Neutral:

                        Basic:

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