Chemistry · Class 11 Science
Ch 9Equilibrium — Class 11 Chemistry, concept-first.
Equilibrium is a state in which two opposing changes occur at exactly equal rates, so that no net change in the system is visible even though, at the microscopic level, matter continues to move between the two sides.
Key concepts
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Phase Equilibrium
Imagine a glass of ice water on a warm day. The ice cubes are melting, but the water around them stays cold. If you wait long enough, the ice stops melting — not because the room got colder, but because the system has re…
Most relevant Q&A
- Sugar is added to a fixed volume of water in a closed vessel and stirred until no more sugar dissolves, with excess solid sugar remaining at…Free
- Explain, in terms of vapour pressure, why a liquid is said to boil at the particular temperature at which it does, and why pure water boils…Free
- A beaker of ice and water is left standing at $1\ \text{atm}$ pressure while heat is very slowly supplied. Explain why the thermometer readi…Free
- State four general characteristics that are common to every physical equilibrium (liquid-vapour, solid-liquid, solid-vapour, and dissolution…Free
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Chapter contents
The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.
Equilibrium in Physical Processes
Equilibrium is a state in which two opposing changes occur at exactly equal rates, so that no net change in the system is visible even though, at the microscopic level, matter continues to move betwee…
Equilibrium in Chemical Processes: The Dynamic Nature of Equilibrium
The same dynamic character seen in physical equilibria carries over, unchanged in principle, to chemical reactions.
The Law of Mass Action and the Equilibrium Constant $K_c$
While the idea of "equal opposing rates" explains why a reaction stops changing, it does not by itself say what the actual equilibrium concentrations will be.
Homogeneous and Heterogeneous Equilibria
Equilibria are classified according to how many physical phases the reactants and products occupy, because this directly determines which species must be written into the equilibrium-constant expressi…
Relationship between the Equilibrium Constants $K_p$ and $K_c$
For a purely gaseous equilibrium, concentration is not the only convenient way to describe how much of each species is present — partial pressure works equally well, since for an ideal gas pressure is…
Le Chatelier's Principle: Factors Affecting Equilibrium
An equilibrium mixture is not frozen forever — if the conditions under which it was established are disturbed, the system responds by shifting toward a new equilibrium position.
Strong and Weak Electrolytes; Degree of Ionization
Substances whose aqueous solutions conduct electricity are called electrolytes, and they do so because they exist, at least partly, as freely mobile ions in solution.
Ostwald's Dilution Law
Since a weak electrolyte sets up a genuine ionization equilibrium, its degree of ionization can be derived quantitatively from the ionization constant using an equilibrium (ICE) table, exactly as for…
Ionization of Water and the pH Scale
Even the purest water conducts electricity very slightly, because water itself undergoes a tiny degree of self-ionization: (more precisely written with a second water molecule accepting the proton to…
Ionization Constants of Weak Acids and Bases: $K_a$, $K_b$ and their Relationship
Every weak acid has a characteristic ionization constant, , and every weak base its own , each defined exactly as for any equilibrium constant. For a weak acid , ; for a weak base , .
Di- and Polybasic Acids: Stepwise Ionization and Factors Affecting Acid Strength
Acids that can donate more than one proton per molecule — dibasic acids such as and , or polybasic (or polyprotic) acids such as — do not release all of their protons in a single step.
The Henderson-Hasselbalch Equation and Buffer Solutions
A buffer solution is one that resists an appreciable change in pH when a small amount of a strong acid or a strong base is added to it, or when it is moderately diluted.
Hydrolysis of Salts
When an acid and a base neutralize each other, the salt produced is not automatically neutral in water — its aqueous behaviour depends on the relative strengths of the acid and base that formed it, th…
Solubility Product and Common Ion Effect
Many ionic salts — such as , and — are described as "insoluble," but this is only a matter of degree: a very small amount of every ionic solid does dissolve, establishing a genuine equilibrium between…
Summary
This chapter traced one continuous idea — equilibrium as a state of equal, opposing rates, dynamic rather than static — through an increasingly specific series of settings.
More questions
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- Example 1Sugar is added to a fixed volume of water in a closed vessel and stirred until no more sugar dissolves, with excess solid sugar remaining at…Free
- Example 2Explain, in terms of vapour pressure, why a liquid is said to boil at the particular temperature at which it does, and why pure water boils…Free
- Example 3Colourless $\text{H}_2(g)$ and violet $\text{I}_2(g)$ are sealed together in a closed vessel at constant temperature. The vessel is observed…Free
- Example 4Write the expression for the equilibrium constant $K_c$ for the synthesis of ammonia, $\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\t…Preview
- Example 5For the equilibrium $2\text{SO}_2(g) + \text{O}_2(g) \rightleftharpoons 2\text{SO}_3(g)$ at a certain temperature, the equilibrium concentra…Preview
- Example 6Classify the following equilibria as homogeneous or heterogeneous, and write the correct equilibrium-constant expression for each: (a) $\tex…Preview
- Example 7For the reaction $\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g)$ at $500\ \text{K}$, $K_c = 1.7 \times 10^2$. Calculate…Preview
- Example 8The industrial synthesis of ammonia, $\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g)$, is exothermic. Using Le Chatelier'…Preview
- Example 9Classify each of the following as a strong or a weak electrolyte and justify your classification in terms of the extent of ionization in aqu…Preview
- Example 10A weak monobasic acid $\text{HA}$ has $K_a = 1.8 \times 10^{-5}$. Using Ostwald's dilution law, calculate its degree of ionization $\alpha$…Preview
- Example 11Calculate the $\text{pH}$ of a $0.001\ \text{M}$ solution of $\text{HCl}$, assuming complete ionization.Preview
- Example 12Calculate the $\text{pH}$ of a $0.1\ \text{M}$ solution of acetic acid ($\text{CH}_3\text{COOH}$), given $K_a = 1.8 \times 10^{-5}$.Preview
- Example 13The ionization constant of acetic acid is $K_a = 1.8 \times 10^{-5}$. Calculate the ionization constant $K_b$ of its conjugate base, the ace…Preview
- Example 14Arrange the four chlorine oxoacids $\text{HClO}$, $\text{HClO}_2$, $\text{HClO}_3$ and $\text{HClO}_4$ in order of increasing acid strength,…Preview
- Example 15A buffer solution is prepared by mixing $0.1\ \text{M}\ \text{CH}_3\text{COOH}$ with $0.1\ \text{M}\ \text{CH}_3\text{COONa}$. Given $K_a(\t…Preview
- Example 16Predict, with a reason, whether an aqueous solution of $\text{NaCl}$ is acidic, basic or neutral.Preview
- Example 17Calculate the $\text{pH}$ of a $0.1\ \text{M}$ solution of $\text{NH}_4\text{Cl}$, given $K_b(\text{NH}_3) = 1.8 \times 10^{-5}$ and $K_w =…Preview
- Example 18The molar solubility of $\text{AgCl}$ in pure water at $298\ \text{K}$ is $1.3 \times 10^{-5}\ \text{mol L}^{-1}$. Calculate its solubility…Preview
+−Show 16 questionsHide questions16 questions
- Q19A beaker of ice and water is left standing at $1\ \text{atm}$ pressure while heat is very slowly supplied. Explain why the thermometer readi…Free
- Q20State four general characteristics that are common to every physical equilibrium (liquid-vapour, solid-liquid, solid-vapour, and dissolution…Free
- Q21Predict, using Le Chatelier's principle, the effect of increasing the total pressure (by decreasing the volume) on the position of the equil…Free
- Q22Explain why adding an inert gas such as argon to the equilibrium mixture $\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g)$…Preview
- Q23For the equilibrium $\text{CaCO}_3(s) \rightleftharpoons \text{CaO}(s) + \text{CO}_2(g)$ in a closed vessel, predict the direction in which…Preview
- Q24Define the degree of ionization $\alpha$ of a weak electrolyte, and state why $\alpha$ for a strong electrolyte such as $\text{HCl}$ is take…Preview
- Q25Using the same weak acid as in the worked example above ($K_a = 1.8 \times 10^{-5}$), calculate its degree of ionization $\alpha$ in a more…Preview
- Q26Calculate the $\text{pH}$ of a $0.01\ \text{M}$ solution of $\text{NaOH}$, assuming complete ionization.Preview
- Q27Calculate the $\text{pH}$ of a $0.05\ \text{M}$ solution of aqueous ammonia ($\text{NH}_4\text{OH}$), given $K_b = 1.8 \times 10^{-5}$.Preview
- Q28For carbonic acid, $\text{H}_2\text{CO}_3$, the two successive ionization constants are $K_{a_1} = 4.3 \times 10^{-7}$ and $K_{a_2} = 4.8 \t…Preview
- Q29Starting from the equilibrium-constant expression for a weak acid $\text{HA}$, derive the Henderson-Hasselbalch equation, $\text{pH} = \text…Preview
- Q30A buffer is prepared using $0.2\ \text{M}\ \text{CH}_3\text{COOH}$ and $0.05\ \text{M}\ \text{CH}_3\text{COONa}$. Given $K_a(\text{CH}_3\tex…Preview
- Q31Calculate the $\text{pH}$ of a $0.1\ \text{M}$ solution of sodium acetate ($\text{CH}_3\text{COONa}$), given $K_a(\text{CH}_3\text{COOH}) =…Preview
- Q32Ammonium acetate, $\text{CH}_3\text{COONH}_4$, is the salt of a weak acid and a weak base with almost equal $K_a$ and $K_b$ values ($1.8 \ti…Preview
- Q33Given $K_{sp}(\text{AgCl}) = 1.8 \times 10^{-10}$, calculate the molar solubility of $\text{AgCl}$ in a $0.01\ \text{M}\ \text{NaCl}$ soluti…Preview
- Q34Equal volumes of $0.002\ \text{M}\ \text{AgNO}_3$ solution and $0.002\ \text{M}\ \text{NaCl}$ solution are mixed. Given $K_{sp}(\text{AgCl})…Preview