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Water and its Autoionization

Water's essential role in the human body encompasses temperature regulation, nutrient transport, and waste removal. It constitutes about 60% of an adult's body weight and is crucial for cellular function and cognitive performance. The text delves into the autoionization of water, a chemical reaction that produces hydronium and hydroxide ions, influencing the pH of solutions. Understanding this process is vital for various scientific and medical applications, as it affects the equilibrium constant, Kw, and the pH scale.

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1

Water's role in temperature regulation

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Water absorbs and redistributes body heat, maintaining stable internal temperature.

2

Water's function in nutrient transport and waste removal

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Water dissolves nutrients for cellular uptake and flushes out metabolic waste via excretory systems.

3

Effects of mild dehydration on cognitive performance

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Mild dehydration can lead to impaired attention, memory, and motor coordination.

4

Water's ability to act as both an acid and a base is described as ______, a concept central to the Bronsted-Lowry theory.

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amphoteric

5

Meaning of double arrow in water autoionization equation

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Indicates reversible reaction and dynamic equilibrium state.

6

Molar ratio of H3O+ to OH− in water autoionization

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Equimolar amounts, 1:1 ratio due to dissociation of two water molecules.

7

In acid-base chemistry, the ______ ion is frequently shown as the ______ ion for simplicity.

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hydronium hydrogen

8

Expression for Kw

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Kw = [H+][OH−], excludes pure liquid H2O concentration.

9

Kw value at 25°C

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Approximately 1.0 × 10^-14, reflects rarity of water autoionization at standard conditions.

10

At ______, the constant product of hydrogen and hydroxide ion concentrations in water is roughly ______.

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25°C 1.0 × 10^-14

11

The pH, which is the negative logarithm of the hydrogen ion concentration, in pure water at ______ is ______, considered neutral.

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25°C 7.0

12

Calculate H+ from OH- concentration

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Use Kw = [H+][OH-] and known [OH-] to find [H+].

13

Determine pH from H+ concentration

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pH = -log[H+], where [H+] is the concentration of hydrogen ions.

14

Calculate OH- from pH

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Use pH and pOH = 14 - pH to find [OH-] = 10^-pOH.

15

At a higher temperature of ______, the equilibrium constant for water's autoionization, Kw, rises to roughly ______, resulting in a lower pH of around ______ for pure water.

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75°C 2.0 × 10^-13 6.3

16

The autoionization of water, which is an ______ reaction, leads to more ion formation with increased temperature, influencing the pH of very ______ solutions.

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endothermic dilute

17

Define water autoionization equilibrium constant (Kw).

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Kw is the product of the molar concentrations of H+ and OH− ions at equilibrium in water.

18

How does temperature affect Kw and pH?

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Temperature increase generally raises Kw, leading to higher concentrations of H+ and OH− ions and affecting pH.

19

What is the pH of a neutral aqueous solution?

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Neutral pH is 7, where concentrations of H+ and OH− ions are equal.

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The Essential Role of Water in the Human Body

Water is a fundamental component of the human body, making up approximately 60% of an adult's body weight. It plays a crucial role in various physiological processes, including temperature regulation, nutrient transport, and waste removal. Water is also essential for maintaining cellular structure and function. Proper hydration is necessary for optimal cognitive performance, as even mild dehydration can impair mental functions such as attention, memory, and motor coordination. The water in our bodies is not just pure H2O; it also contains small quantities of hydronium (H3O+) and hydroxide (OH−) ions, which result from the natural autoionization of water.
Transparent glass beaker with water and bubbles on white surface, partially immersed green leaf, neutral gray background.

Understanding Autoionization of Water

Autoionization, or self-ionization of water, is a chemical process in which two water molecules react to produce a hydronium ion (H3O+) and a hydroxide ion (OH−). This occurs because water is amphoteric, meaning it can act as both an acid and a base according to the Bronsted-Lowry theory. A water molecule can lose a proton, becoming a hydroxide ion, while another water molecule can gain a proton, becoming a hydronium ion. This reversible reaction establishes a dynamic equilibrium in pure water and is fundamental to the concept of pH in aqueous solutions.

The Chemical Equation of Water Autoionization

The autoionization of water can be represented by the chemical equation: 2H2O(l) ⇌ H3O+(aq) + OH−(aq). This equation shows that two water molecules interact to form one hydronium ion and one hydroxide ion, which are produced in equimolar amounts. The double arrow indicates that the reaction is reversible and that the system reaches a state of dynamic equilibrium, where the rate of the forward reaction equals the rate of the reverse reaction.

Simplifying the Autoionization Equation

In many chemical contexts, the hydronium ion (H3O+(aq)) is often represented simply as the hydrogen ion (H+(aq)) for convenience. This leads to the simplified form of the autoionization equation: H2O(l) ⇌ H+(aq) + OH−(aq). This notation is widely used in acid-base chemistry and will be adopted in the following discussion to clarify the concepts without compromising the scientific accuracy of the information.

The Autoionization Constant of Water (Kw)

The equilibrium constant for the autoionization of water is known as the ion-product constant, or Kw. It is expressed as Kw = [H+][OH−], where the square brackets denote the molar concentrations of the ions at equilibrium. Since water is a pure liquid, its concentration is not included in the expression. Kw is temperature-dependent and has a value of approximately 1.0 × 10^-14 at 25°C, indicating that the autoionization of water is a relatively rare event under standard conditions.

The Relationship Between Autoionization, Kw, and pH

The constant value of Kw at a given temperature has direct implications for the pH of aqueous solutions. At 25°C, the product of the molar concentrations of hydrogen and hydroxide ions in any aqueous solution is always approximately 1.0 × 10^-14. This relationship is used to calculate the pH, which is the negative logarithm of the hydrogen ion concentration. In pure water at 25°C, the concentration of hydrogen ions is about 1.0 × 10^-7 M, resulting in a neutral pH of 7.0. The pH scale ranges from 0 to 14, with values below 7 indicating acidic conditions and values above 7 indicating basic conditions.

Calculating pH from Autoionization Examples

To calculate pH from autoionization, one can use the known value of Kw and the concentration of one type of ion to find the concentration of the other ion. For example, if the concentration of hydroxide ions (OH−) is 5.6 × 10^-4 M at 25°C, the concentration of hydrogen ions (H+) can be calculated, and subsequently, the pH can be determined to be 10.7, indicating a basic solution. Conversely, given a pH of 3.5, the concentration of hydroxide ions can be calculated to be 3.16 × 10^-11 M, reflecting an acidic solution.

Temperature Effects and Limitations in Autoionization Calculations

The value of Kw and the pH of pure water are affected by temperature changes. For instance, at 75°C, Kw increases to approximately 2.0 × 10^-13, and the pH of pure water decreases to about 6.3, which is less neutral than at 25°C. This is because the autoionization of water is an endothermic reaction; thus, an increase in temperature drives the equilibrium towards the formation of more ions. However, when dealing with very dilute acids or bases, the contribution of ions from the autoionization of water must be considered, as it can significantly affect pH calculations.

Key Takeaways on Water Autoionization

In conclusion, water autoionization is a critical chemical process that generates hydronium and hydroxide ions in equal amounts, establishing a dynamic equilibrium. The equilibrium constant, Kw, is essential for understanding the pH of aqueous solutions and varies with temperature. The pH of a solution is determined by the molar concentrations of H+ and OH− ions, with neutrality defined by their equal concentrations. However, temperature influences and the limitations of the autoionization concept in highly dilute solutions must be taken into account when performing pH calculations.