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Chapter 16: Problem 9

What is the ion-product constant for water?

Short Answer

Expert verified
The ion-product constant for water at 25 degrees Celsius is \(1.0 * 10^{-14}\).

Step by step solution

01

Identify the auto-ionization of water equation at 25 degree Celsius

The auto-ionization of water is represented by the following equation: \(2H_2O(l) \leftrightarrow H_3O^{+}(aq) + OH^{-}(aq)\). This equation describes the state of equilibrium that exists in water between water molecules and H+ and OH- ions. At 25 degree Celsius, the concentration of \(H_3O^{+}\) ions and \(OH^{-}\) ions in pure water are both equal to \(1.0 * 10^{-7}\) M.
02

Apply the ion-product constant for water

The ion-product constant for water (Kw) is the product of the concentration of the hydrogen ions and hydroxide ions. Kw = \([H_3O^{+}][OH^{-}]\). It's given that at 25掳C, Kw = \(1.0 * 10^{-14}\).
03

Make conclusions

So, the ion-product constant for water (Kw) is \(1.0 * 10^{-14}\) at 25 degrees Celsius.

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Most popular questions from this chapter

The \(\mathrm{pH}\) of a \(0.0642 \mathrm{M}\) solution of a monoprotic acid is \(3.86 .\) Is this a strong acid?

Most of the hydrides of Group \(1 \mathrm{~A}\) and Group \(2 \mathrm{~A}\) metals are ionic (the exceptions are \(\mathrm{BeH}_{2}\) and \(\mathrm{MgH}_{2}\), which are covalent compounds). (a) Describe the reaction between the hydride ion \(\left(\mathrm{H}^{-}\right)\) and water in terms of a Bronsted acid-base reaction. (b) The same reaction can also be classified as a redox reaction. Identify the oxidizing and reducing agents.

List the factors on which the \(K_{\mathrm{a}}\) of a weak acid depends.

Calculate the \(\mathrm{pH}\) of water at \(40^{\circ} \mathrm{C}\), given that \(K_{\mathrm{w}}\) is \(3.8 \times 10^{-14}\) at this temperature.

In terms of orbitals and electron arrangements, what must be present for a molecule or an ion to act as a Lewis acid (use \(\mathrm{H}^{+}\) and \(\mathrm{BF}_{3}\) as examples)? What must be present for a molecule or ion to act as a Lewis base (use \(\mathrm{OH}^{-}\) and \(\mathrm{NH}_{3}\) as examples)?
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