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Intros
Lessons
  1. How do we use pH indicators?
  2. Indicator: definition and examples.
  3. Using equilibrium (Le Chatelier's principle) with indicators.
  4. Using equilibrium (Keq) with indicators
  5. Testing relative strength of acids: example.
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Examples
Lessons
  1. Understand how the colour change of pH indicators is related to acid-base chemistry.
    Alizarin yellow is a pH indicator which is yellow when protonated and blue when deprotonated.
    1. Write a Ka expression and equilibrium equation showing the dissociation of alizarin yellow, using the symbols HIn and In-.
    2. In terms of equilibrium concentration, what happens to the pH indicator at the titration endpoint?
    3. Explain, in terms of equilibrium, why the solution turns yellow when [H3O+] is high.
Topic Notes
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Introduction to pH Indicators

pH indicators are essential tools in chemistry that provide visual cues about the acidity or alkalinity of a solution. These remarkable substances change color depending on the pH level, making them invaluable in various scientific and industrial applications. Our introduction video offers a captivating glimpse into the world of pH indicators, showcasing their vibrant transformations and practical uses. In this article, we'll delve deeper into the fascinating realm of pH indicators, exploring their definition, diverse applications, and common examples. From laboratory experiments to environmental monitoring, pH indicators play a crucial role in countless fields. Whether you're a student, researcher, or simply curious about chemistry, understanding pH indicators is key to grasping fundamental chemical concepts. Join us as we unravel the colorful science behind these indispensable chemical indicators and discover how they help us decode the hidden properties of solutions in our everyday lives and scientific endeavors.

Definition and Basic Principles of pH Indicators

pH indicators are specialized chemical compounds that change color in response to the acidity or basicity of a solution. These remarkable substances play a crucial role in chemistry, allowing scientists and everyday users to quickly determine the pH of a solution without complex equipment. Much like how our skin changes color when exposed to different temperatures, pH indicators visibly react to the chemical environment they're in, providing valuable information about the solution's properties.

At their core, pH indicators are weak acids or weak bases themselves. This characteristic is key to their functionality. Weak acids and bases don't completely dissociate in water, unlike their strong counterparts. Instead, they establish an equilibrium between their protonated and deprotonated forms. This equilibrium is sensitive to the pH of the solution, which is where the magic of pH indicators comes into play.

When a pH indicator is added to a solution, it undergoes a process of protonation or deprotonation depending on the solution's pH. Protonation occurs when the indicator accepts a hydrogen ion (H+), while deprotonation happens when it loses one. These molecular changes alter the electronic structure of the indicator molecule, which in turn affects how it absorbs and reflects light resulting in the visible color change we observe.

To better understand this concept, let's revisit our skin color analogy. When we're cold, our skin might appear pale or even bluish as blood vessels constrict near the surface. As we warm up, our skin takes on a pinker hue as blood flow increases. Similarly, pH indicators shift between their protonated and deprotonated forms based on the surrounding pH, displaying different colors as a result.

For example, phenolphthalein, a common pH indicator, is colorless in acidic solutions (pH below 8.2) where it exists in its protonated form. As the pH increases and the solution becomes more basic, phenolphthalein begins to deprotonate, gradually shifting to a vibrant pink color in solutions with a pH above 10. This color change occurs over a specific pH range, known as the indicator's transition interval.

The role of pH indicators in determining acidity or basicity is invaluable across various fields. In laboratories, they're used for precise titrations and quick pH assessments. In environmental science, they help monitor water quality and soil pH. Even in everyday life, pH indicators are present in pool testing kits and some household cleaning products.

It's important to note that different pH indicators have different transition intervals, making them suitable for various pH ranges. Universal indicators, which are mixtures of several pH indicators, can provide a rough estimate of pH across a wide range by exhibiting a spectrum of colors.

The concept of weak acids and bases is fundamental to understanding pH indicators. These substances partially dissociate in water, establishing an equilibrium between their molecular and ionic forms. This equilibrium is sensitive to changes in H+ concentration (pH), allowing weak acids and bases to act as buffers in solutions. pH indicators leverage this property, with their own weak acid/base nature allowing them to respond dynamically to the solution's pH.

In conclusion, pH indicators are fascinating tools that bridge the gap between complex chemical processes and visual observation. By changing color through protonation and deprotonation in response to a solution's pH, these weak acids or bases provide a simple yet effective method for assessing acidity and basicity. Their ability to translate invisible chemical properties into visible color changes makes them indispensable in various scientific, industrial, and everyday applications, much like how our skin's color changes serve as a visual indicator of our body's temperature regulation.

Common pH Indicator Examples and Their Color Changes

pH indicators are essential tools in chemistry for determining the acidity or alkalinity of a solution. These substances change color depending on the pH of the environment they're in, providing a visual cue to the solution's pH level. Let's explore some specific examples of pH indicators and their unique properties.

Phenolphthalein

Phenolphthalein is one of the most widely used pH indicators in laboratories. It exhibits a dramatic color change from colorless to bright pink:

  • Below pH 8.2: Colorless
  • Between pH 8.2 and 10.0: Gradual change from colorless to pink
  • Above pH 10.0: Bright pink

This indicator is particularly useful for titrations involving strong bases and weak acids.

Bromothymol Blue

Bromothymol blue is another common indicator, often used in biology and environmental testing. Its color changes are:

  • Below pH 6.0: Yellow
  • Between pH 6.0 and 7.6: Green
  • Above pH 7.6: Blue

This indicator is excellent for distinguishing between acidic, neutral, and slightly basic solutions.

Alizarin Yellow

Alizarin yellow, while less common, is useful for its specific pH range:

  • Below pH 10.0: Yellow
  • Between pH 10.0 and 12.0: Orange to red
  • Above pH 12.0: Red

This indicator is particularly useful for determining pH in strongly basic solutions.

Universal Indicator

Unlike specific indicators that change color over a narrow pH range, a universal indicator is a mixture of several indicators that produces a gradual color change over a wide pH range. Typically, it changes from red through orange, yellow, green, blue, to purple as the pH increases from highly acidic to highly basic.

The main difference between universal indicators and specific indicators is their range and precision. While specific indicators like phenolphthalein provide a more precise reading within a narrow pH range, universal indicators offer a broader overview of pH levels but with less precision.

Table of Common pH Indicators

Indicator pH Range Color Change
Methyl Orange 3.1 - 4.4 Red to Yellow
Bromocresol Green 3.8 - 5.4 Yellow to Blue
Methyl Red 4.2 - 6.2 Red to Yellow
Bromothymol Blue 6.0 - 7.6 Yellow to Blue
Phenolphthalein 8.2 - 10.0 Colorless to Pink
Alizarin Yellow 10.0 - 12.0 Yellow to Red

pH Indicators and Chemical Equilibrium

pH indicators are fascinating tools in chemistry that visually demonstrate the concept of chemical equilibrium and the effects of pH changes on molecular structures. These indicators work by exploiting the delicate balance between their protonated and deprotonated forms, providing a colorful window into the world of acid-base reactions. Understanding how pH indicators function requires a deep dive into the principles of chemical equilibrium and the application of Le Chatelier's principle.

At the heart of pH indicator behavior is a reversible reaction between two forms of the indicator molecule: the protonated form (HIn) and the deprotonated form (In-). This equilibrium can be represented by the equation: HIn H+ + In-. In this equation, HIn represents the acidic form of the indicator, which typically has one color, while In- represents the basic form, which has a different color. The position of this equilibrium determines the observed color of the solution.

The relationship between these two forms is governed by chemical equilibrium principles. In a stable system, the forward and reverse reactions occur at equal rates, maintaining a constant ratio of HIn to In-. However, this equilibrium is highly sensitive to changes in the solution's pH, which is where the indicator's color-changing properties come into play.

Le Chatelier's principle is crucial in explaining how pH changes affect the indicator's equilibrium. This principle states that when a system at equilibrium is subjected to a change, the system will shift to counteract that change and establish a new equilibrium. In the context of pH indicators, adding acid or base to the solution disrupts the equilibrium, causing a shift that results in a color change.

When acid is added to a solution containing a pH indicator, the concentration of H+ ions increases. According to Le Chatelier's principle, the equilibrium shifts to the left, favoring the formation of the protonated form (HIn) to consume some of the excess H+ ions. This shift changes the ratio of HIn to In-, altering the observed color of the solution towards that of the protonated form.

Conversely, when a base is added, it removes H+ ions from the solution. The equilibrium then shifts to the right, promoting the formation of the deprotonated form (In-) to produce more H+ ions and counteract the change. This shift results in a color change towards that of the deprotonated form.

To illustrate these concepts, let's consider the example of bromothymol blue, a common pH indicator. In its protonated form, bromothymol blue appears yellow in acidic solutions (pH < 6.0). As the pH increases, the equilibrium shifts towards the deprotonated form, causing the color to change to blue in basic solutions (pH > 7.6). In the narrow pH range of 6.0 to 7.6, bromothymol blue exhibits a green color, representing a mixture of the yellow protonated and blue deprotonated forms.

The equilibrium for bromothymol blue can be represented as: HBb (yellow) H+ + Bb- (blue), where HBb is the protonated form and Bb- is the deprotonated form. In acidic conditions, the equilibrium favors HBb, resulting in a yellow color. As the solution becomes more basic, the equilibrium shifts towards Bb-, producing the blue color.

This example demonstrates how the principles of chemical equilibrium and Le Chatelier's principle work together in pH indicators. The color change is not an abrupt switch but a gradual transition as the equilibrium shifts in response to pH changes. This gradual change allows pH indicators to provide approximate measurements of a solution's pH based on the observed color.

Understanding the mechanism of pH indicators highlights the dynamic nature of chemical equilibria and their responsiveness to environmental changes. This knowledge is not only crucial for laboratory applications but also finds use in various fields, from environmental monitoring to medical diagnostics. The ability of these indicators to visually represent pH changes makes them invaluable tools in chemistry education and research, providing a tangible link between abstract chemical concepts and observable phenomena.

Using Ka Expressions to Predict Indicator Color

Understanding the concept of Ka, or acid dissociation constant, is crucial when working with indicators in chemistry. Ka is a quantitative measure of an acid's strength in solution, and it plays a vital role in predicting an indicator's color at different pH levels. This knowledge is particularly useful in titrations and other analytical chemistry procedures.

The Ka expression for an indicator (HIn) can be written as:

Ka = [H+][In-] / [HIn]

Where [H+] is the hydrogen ion concentration, [In-] is the concentration of the deprotonated form of the indicator, and [HIn] is the concentration of the protonated form. By rearranging this equation and taking the negative logarithm of both sides, we obtain the Henderson-Hasselbalch equation:

pH = pKa + log([In-] / [HIn])

This equation is fundamental in predicting an indicator's color at a certain pH. The pKa is the negative logarithm of Ka and represents the pH at which the concentrations of the protonated and deprotonated forms of the indicator are equal.

To use Ka expressions to predict an indicator's color, follow these steps:

  1. Determine the pKa of the indicator
  2. Compare the given pH to the pKa
  3. If pH < pKa, the indicator will predominantly be in its protonated form (HIn)
  4. If pH > pKa, the indicator will predominantly be in its deprotonated form (In-)
  5. If pH pKa, there will be a mixture of both forms

The relationship between pKa and pH at the endpoint of a titration is crucial for selecting appropriate indicators. Ideally, the pKa of the chosen indicator should be close to the pH at the endpoint. This ensures a sharp color change at the equivalence point, making it easier to determine when the titration is complete.

For example, in an acid-base titration where the endpoint occurs at pH 7, an indicator with a pKa close to 7 would be most suitable. Phenolphthalein (pKa 9.7) is often used for titrations of strong acids with strong bases, as it changes color in the basic region, slightly after the endpoint.

Let's demonstrate how to determine the color of an indicator at a given pH with an example calculation:

Consider the indicator methyl red, which has a pKa of 5.1. Its protonated form (HIn) is red, while its deprotonated form (In-) is yellow. We want to determine its color at pH 4.1.

Using the Henderson-Hasselbalch equation:

4.1 = 5.1 + log([In-] / [HIn])

-1 = log([In-] / [HIn])

[In-] / [HIn] = 10^-1 = 0.1

This means that at pH 4.1, the ratio of [In-] to [HIn] is 1:10. Since there is 10 times more of the protonated form (red) than the deprotonated form (yellow), the indicator will appear predominantly red at this pH.

In conclusion, understanding Ka expressions and their relationship to indicator color is essential for accurate analytical chemistry. By mastering these concepts, chemists can select appropriate indicators for titrations and predict color changes with precision, leading to more reliable experimental results.

Ranking Acid and Base Strength Using Indicators

pH indicators are powerful tools in chemistry that can be used to rank the comparative strength of acids and bases. These indicators are weak acids or bases themselves, which change color depending on the pH of the solution they're in. This color-changing property makes them invaluable for determining the relative strength of unknown acids and bases.

To understand how pH indicators work in ranking acid and base strength, let's consider the example of methyl orange. Methyl orange is a common pH indicator that changes color from red in acidic solutions to yellow in basic solutions. The key to its functionality lies in understanding its protonated and deprotonated forms.

In its protonated form, methyl orange appears red. This occurs in acidic solutions where there are plenty of protons (H+ ions) available. In its deprotonated form, it appears yellow, which happens in basic solutions where protons are scarce. The transition between these two forms occurs around a specific pH, known as the indicator's pKa value.

Now, let's explore how methyl orange can be used to determine if an unknown acid is stronger or weaker than the indicator itself. When we add methyl orange to an unknown acid solution, we observe the color. If the solution turns red, it indicates that the acid is strong enough to protonate the indicator, meaning it's a stronger proton donor than methyl orange. If the solution remains yellow or orange, it suggests that the acid is weaker than methyl orange and unable to fully protonate it.

This comparative method works because acids and bases can be ranked based on their ability to donate or accept protons. A stronger acid is a better proton donor, while a stronger base is a better proton acceptor. By using a series of indicators with different pKa values, we can create a relative ranking of acid and base strengths.

Understanding the protonated and deprotonated forms of the indicator is crucial in this process. Each indicator has a specific pH range where it transitions between its acid and base forms. This range is centered around its pKa value. For methyl orange, the pKa is around 3.7. This means that at pH values below 3.7, methyl orange will be predominantly in its protonated (red) form, and above 3.7, it will be mostly in its deprotonated (yellow) form.

By comparing the color of methyl orange in an unknown solution to its color in solutions of known pH, we can estimate the pH of the unknown solution. This, in turn, gives us information about the strength of the acid or base in that solution. A solution that turns methyl orange red must have a pH below 3.7, indicating a relatively strong acid. Conversely, a solution that keeps methyl orange yellow must have a pH above 3.7, suggesting a weaker acid or a base.

This method of comparative ranking is particularly useful when dealing with weak acids and bases, where precise pH measurements might be challenging. It allows chemists to quickly assess the relative strength of different acids or bases without the need for complex equipment.

In practical applications, understanding acid and base strength is crucial in various fields. In environmental science, it helps in assessing water quality and soil acidity. In biochemistry, it's essential for understanding enzyme activity and cellular processes. In industry, it's vital for controlling chemical reactions and product quality.

By mastering the use of pH indicators like methyl orange, chemists can efficiently rank the comparative strength of acids and bases. This knowledge not only aids in laboratory work but also contributes to our broader understanding of chemical reactions and their applications in the real world.

Conclusion and Practical Applications

pH indicators are essential tools in chemistry, providing visual cues to determine the acidity or alkalinity of solutions. These color-changing substances respond to hydrogen ion concentration, offering a quick and reliable method for pH measurement. Understanding pH indicators is crucial for various chemical processes and analyses. In practical applications, pH indicators play a vital role in titrations, allowing precise endpoint determination in acid-base reactions. Environmental testing relies heavily on these indicators to assess water quality, soil acidity, and pollution levels. Industries such as food production, pharmaceuticals, and wastewater treatment also utilize pH indicators for quality control and process monitoring. Students and researchers are encouraged to experiment with different indicators, exploring their unique color transitions and sensitivity ranges. By mastering the use of pH indicators, chemists can enhance their analytical skills and contribute to advancements in various scientific fields. Whether in a laboratory setting or real-world applications, pH indicators remain indispensable tools for accurate and efficient pH measurement.

How do we use pH indicators?

Indicator: definition and examples.

Step 1: Understanding the Definition of pH Indicators

pH indicators are substances that change color in response to changes in pH, allowing us to determine whether a solution is acidic or basic. They are typically weak acids or bases that exhibit different colors in their protonated and deprotonated forms. For example, phenolphthalein is colorless in its acidic form and turns pink in its basic form.

Step 2: Examples of pH Indicators

Some common examples of pH indicators include:

  • Phenolphthalein: Colorless in acidic conditions and pink in basic conditions.
  • Bromothymol Blue: Yellow in acidic conditions and blue in basic conditions.
  • Alizarin Yellow: Yellow in acidic conditions and red in basic conditions.
Each indicator has a specific pH range where it changes color, making them useful for different types of chemical reactions and titrations.

Step 3: Using pH Indicators in Chemistry

pH indicators are used in various chemical applications to determine the acidity or basicity of a solution. They are particularly useful in titrations, where the goal is to determine the concentration of an unknown acid or base. By adding a pH indicator to the solution, you can visually observe the point at which the solution changes from acidic to basic (or vice versa), known as the endpoint.

Step 4: The Role of Equilibrium in pH Indicators

The color change in pH indicators is due to the equilibrium between their protonated and deprotonated forms. For example, in the case of phenolphthalein, the equilibrium can be represented as:
HIn H+ + In-
Where HIn is the protonated form (colorless) and In- is the deprotonated form (pink). The position of this equilibrium depends on the pH of the solution. At low pH (high concentration of H+), the equilibrium shifts to the left, resulting in the colorless form. At high pH (low concentration of H+), the equilibrium shifts to the right, resulting in the pink form.

Step 5: Predicting Indicator Color Using Ka Expression

The acid dissociation constant (Ka) can be used to predict the color of an indicator at a given pH. The Ka expression for an indicator is given by:
Ka = [H+][In-] / [HIn]
By knowing the pH of the solution and the Ka value of the indicator, you can calculate the ratio of the protonated to deprotonated forms and thus predict the color of the indicator.

Step 6: Choosing the Right Indicator

The choice of pH indicator depends on the specific pH range of the reaction you are studying. For example, phenolphthalein is suitable for reactions that occur in basic conditions, while bromothymol blue is useful for reactions that occur near neutral pH. It is important to select an indicator that changes color within the pH range of your reaction to accurately determine the endpoint.

Step 7: Practical Application of pH Indicators

In practical applications, pH indicators are often used in combination with other analytical techniques. For example, in a titration experiment, you might add a few drops of phenolphthalein to a solution of unknown concentration and then slowly add a titrant until the solution changes color. This color change indicates that the endpoint has been reached, allowing you to calculate the concentration of the unknown solution.

FAQs

  1. What is a pH indicator and how does it work?

    A pH indicator is a chemical compound that changes color in response to the pH of a solution. It works by undergoing protonation or deprotonation reactions, which alter its molecular structure and, consequently, its color. For example, phenolphthalein is colorless in acidic solutions but turns pink in basic solutions.

  2. What are 5 common pH indicators?

    Five common pH indicators are: 1. Phenolphthalein (colorless to pink, pH 8.2-10) 2. Methyl orange (red to yellow, pH 3.1-4.4) 3. Bromothymol blue (yellow to blue, pH 6.0-7.6) 4. Litmus (red to blue, pH 4.5-8.3) 5. Universal indicator (red to violet, pH 1-14)

  3. What is the best pH indicator?

    The "best" pH indicator depends on the specific application. Universal indicators are versatile for a wide pH range, while phenolphthalein is excellent for titrations involving strong bases. For precise measurements in narrow pH ranges, specific indicators like bromothymol blue (for near-neutral solutions) are preferred.

  4. What is an example of a natural pH indicator?

    Red cabbage juice is a well-known natural pH indicator. It contains anthocyanins that change color from red in acidic solutions to purple in neutral solutions, and green to yellow in basic solutions. Other natural indicators include turmeric (yellow to red) and beetroot (red to purple).

  5. What are some pH indicators available at home?

    Several household items can serve as pH indicators: 1. Red cabbage juice 2. Turmeric solution 3. Tea (black or green) 4. Grape juice 5. Beet juice These natural indicators can change color in response to acids or bases, providing a simple way to test pH at home.

Prerequisite Topics for Understanding pH Indicators

Before delving into the fascinating world of pH indicators, it's crucial to grasp several fundamental concepts in chemistry. These prerequisite topics form the foundation for understanding how pH indicators work and their significance in various chemical processes.

One of the most important concepts to comprehend is the distinction between strong and weak acids and bases. This knowledge is essential because pH indicators are designed to react differently with various strengths of acids and bases, allowing us to visually determine the pH of a solution. Understanding the characteristics of weak acids and bases helps explain why some indicators change color gradually over a range of pH values, while others have more abrupt color changes.

Another critical prerequisite topic is the acid dissociation constant. This concept is directly related to how pH indicators function. The acid dissociation constant of an indicator determines at what pH range it will change color. By understanding this principle, you can better appreciate why different indicators are used for various pH ranges and how they provide accurate measurements of a solution's acidity or basicity.

Additionally, grasping the concept of solubility and ion concentration, particularly hydrogen ion concentration, is crucial when working with pH indicators. The concentration of hydrogen ions in a solution directly affects its pH, and consequently, the color of the pH indicator. This knowledge helps in interpreting the results obtained from using pH indicators and understanding how changes in concentration can influence pH measurements.

By mastering these prerequisite topics, you'll be better equipped to understand the intricacies of pH indicators. You'll be able to explain why certain indicators are chosen for specific applications, how they interact with different types of solutions, and how to interpret the results accurately. Moreover, this foundational knowledge will enable you to predict how changes in solution composition might affect pH readings and indicator behavior.

Understanding these concepts also opens doors to more advanced applications of pH indicators in various fields, such as environmental monitoring, biochemistry, and industrial processes. For instance, knowing how weak acids and bases behave can help you understand why certain biological systems use natural pH indicators to maintain optimal conditions.

In conclusion, a solid grasp of strong and weak acids and bases, acid dissociation constants, and solubility and ion concentration is essential for anyone looking to work with or study pH indicators. These prerequisite topics not only enhance your understanding of how pH indicators function but also provide a broader context for their applications in chemistry and related fields. By investing time in mastering these fundamental concepts, you'll be well-prepared to explore the fascinating world of pH indicators and their diverse applications in scientific research and everyday life.

In this lesson, we will learn:

  • To recall the definition of an indicator and their uses in chemistry.
  • How to describe an indicator’s action in terms of equilibrium.
  • How to use the Ka expression to predict an indicator’s color at a given pH.

Notes:

  • In chemistry, measuring pH is done by using indicator solutions. There are many different indicators in chemistry but all of them are either a weak organic acid or base that is a different color to its conjugate pair. Some examples are:

    Indicator

    Acid (protonated) color

    Base (deprotonated) color

    pH range

    Phenolphthalein

    Colorless

    Pink

    8.2-12.0

    Bromothymol blue

    Yellow

    Blue

    6.0-7.6

    Alizarin yellow

    Yellow

    Red

    10.0-12.0


    Each indicator has a specific pH range in which it will change color by accepting or donating a proton. The choice of indicator used in an experiment will depend on the solution being investigated and its pH.

  • As with any weak organic acid or base, you can write an equilibrium equation to show the change from acidic to basic form. Because indicators are quite complicated molecules, we either use abbreviations of the name in equilibrium equations (e.g. ‘Aliz’ for Alizarin) or simply In (for Indicator).

    HIn + H2O \rightleftharpoons H3O+ + In-


    For example, with bromothymol blue which is yellow in acidic conditions and blue in basic conditions:

    HIn + H2O \rightleftharpoons H3O+ + In-
    Yellow \qquad \rightleftharpoons\qquad Blue

    In basic conditions, [H3O+] is low. The equilibrium will shift to the right to produce more H3O+ and as a consequence, more In-. This will eventually cause there to be more In- molecules than HIn molecules – more blue molecules than yellow molecules. This causes the color change from yellow to blue.

    In acidic conditions, [H3O+] is high. The opposite effect happens here, where the equilibrium shifts left, reacting blue In- molecules to produce more yellow HIn molecules. This causes the color change from blue to yellow when conditions become more acidic.

  • As with any equilibrium, we can write an Keq equilibrium expression for this reaction. This equilibrium is just showing dissociation to give off H+ or accepting H+ to go to a conjugate base. This is acid dissociation! So we label it Ka:

    Ka = [H3O+][In][HIn]\frac{[H_{3}O^{+}][In^-]}{[HIn]}


    The point where the indicator is on the brink of changing color (or ‘halfway through’ changing color) is called the endpoint. This is where [HIn] = [In-]. At this point, the expression can be simplified:

    Long run: entry & exit

    Therefore, the Ka of the indicator at the endpoint equals [H3O+]. This also means that at the endpoint, pH = pKa of the indicator.

  • Indicators can be added to different acids or bases to compare their relative strengths. For example: Methyl orange is an indicator which is red when protonated (when in acidic solution) and yellow when deprotonated (when in basic solution).

    In- + HA \rightleftharpoons A- + HIn
    Yellow \qquad \rightleftharpoons\quad Red

    Methyl orange is added to a solution of acid HA, where it turns yellow. It is also added to another acid HB where it turns red in solution.

    If methyl orange is yellow (In-) in the presence of HA, it means that more of its molecules are deprotonated, and therefore that HA is in protonated form. Since a stronger acid (a stronger proton donor) will always protonate a weaker acid, this suggests that methyl orange is the stronger proton donor, and is therefore a stronger acid. Methyl orange is a stronger acid than HA.

    Conversely, if methyl orange is red (HIn) in a solution of HB, it means that more of its molecules are protonated than deprotonated, and therefore HB is mostly deprotonated. This suggests HB is a stronger proton donor and therefore HB is a stronger acid than methyl orange.

    The relative acid strength is therefore HB > HIn > HA