This MCQ module is based on: Equilibrium Physical Chemical
Equilibrium Physical Chemical
This assessment will be based on: Equilibrium Physical Chemical
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Equilibrium in Physical and Chemical Processes
6.1 Introduction — What is Equilibrium?
Imagine a sealed bottle of water. Initially, only liquid water is present. Slowly, water molecules evaporate into the empty space above the liquid, raising the gas-phase concentration. Eventually, however, the water level stops dropping. Has evaporation stopped? No — molecules keep going back and forth. The system has reached a state of equilibrium.
6.2 Equilibrium in Physical Processes
Equilibrium is not unique to chemical reactions. It also applies to physical changes such as phase changes and dissolution.
6.2.1 Solid–Liquid Equilibrium
Place an ice-water mixture in a thermally insulated container at 0 °C and 1 atm. Some ice melts; some water freezes. At 0 °C the rate of melting equals the rate of freezing → solid ⇌ liquid equilibrium. The masses of ice and water remain constant.
\[\text{H}_2\text{O(s)} \rightleftharpoons \text{H}_2\text{O(l)} \quad \text{at } 273.15 \text{ K, 1 atm}\]6.2.2 Liquid–Vapour Equilibrium
In a closed vessel at constant temperature, water (liquid) evaporates and water vapour condenses simultaneously. When the rates become equal, the gas-phase pressure becomes constant. This pressure is the saturated vapour pressure.
6.2.3 Solid–Vapour Equilibrium (Sublimation)
Iodine and camphor sublime — they go directly from solid to vapour. In a closed vessel:
\[\text{I}_2\text{(s)} \rightleftharpoons \text{I}_2\text{(g)}\]Vapour pressure becomes constant once equilibrium is reached.
6.2.4 Equilibrium of a Solute–Solvent System
Add solid sugar to water. Initially, sugar dissolves rapidly. As the solution becomes more concentrated, the rate of dissolution slows while the rate of crystallization (solute returning to solid) rises. At equilibrium, the solution is saturated:
\[\text{Sugar (s)} \rightleftharpoons \text{Sugar (aq)}\]6.2.5 Gases in Liquids — Henry's Law
The amount of gas dissolved in a liquid at constant T is proportional to the partial pressure of the gas above the liquid:
\[m \propto P_\text{gas} \quad \text{or} \quad P = K_H \cdot x_\text{gas}\]This is why a soda bottle fizzes when opened — pressure drops, dissolved CO₂ leaves solution.
6.3 General Characteristics of Physical Equilibria
| Process | Equilibrium | Constant feature |
|---|---|---|
| Liquid ⇌ Vapour | P(vapour) = constant at given T | Vapour pressure |
| Solid ⇌ Liquid | m.p. = freezing point | Temperature |
| Solid ⇌ Vapour | P(vapour) at given T constant | Vapour pressure |
| Solute (s) ⇌ Solute (aq) | Concentration of saturated soln. constant | Solubility |
| Gas (g) ⇌ Gas (aq) | K_H = P/x_gas | Henry's constant |
- Achieved only in a closed system at given T.
- Dynamic — both forward and reverse processes continue.
- Can be approached from either side.
- Macroscopic properties (P, c, density) become constant.
- A catalyst doesn't change the equilibrium position — only the speed at which it is reached.
6.4 Equilibrium in Chemical Processes — Dynamic Equilibrium
Just like physical equilibrium, chemical reactions reach a state where forward and reverse rates are equal:
\[A + B \overset{k_f}{\underset{k_r}{\rightleftharpoons}} C + D\]Initially, [A] and [B] are high; [C] and [D] are zero. As reaction proceeds, forward rate falls while reverse rate rises. When rates become equal — equilibrium is reached, with all four species present in unchanging concentrations.
6.4.1 Haber Process — A Famous Reversible Reaction
\[\text{N}_2\text{(g)} + 3\text{H}_2\text{(g)} \rightleftharpoons 2\text{NH}_3\text{(g)}\]If we mix N₂ and H₂ in a closed container at fixed T and P, NH₃ is formed. Simultaneously, NH₃ decomposes back to N₂ and H₂. After some time, the concentrations of all three become constant — equilibrium is reached.
6.4.2 Evidence for Dynamic Nature
Use isotopic labelling! Take an equilibrium mixture of H₂ + I₂ + 2HI. Add a small amount of D₂ (deuterium). Even though concentrations don't change macroscopically, after some time D atoms appear in the HI. This proves that bonds are constantly being broken and re-formed at equilibrium.
🎯 Interactive: Approach to Equilibrium Simulator
Choose initial concentrations and an equilibrium constant. Watch how the system approaches equilibrium over time.
For A ⇌ B with [A]₀ = 1.0 M, K_c = 4
[A]_eq = 0.20 M | [B]_eq = 0.80 M
Equilibrium favours products (K > 1).
Setup: Mix dilute FeCl₃ (yellow) and KSCN (colourless) in a beaker. Note the deep blood-red colour of [Fe(SCN)]²⁺. Now divide the solution into 4 test tubes and add: (i) extra FeCl₃ (ii) extra KSCN (iii) NaOH (iv) leave alone.
(i) +FeCl₃: Red colour deepens (more product forms).
(ii) +KSCN: Red colour deepens (more product forms).
(iii) +NaOH: Red fades (Fe³⁺ + 3OH⁻ → Fe(OH)₃↓ removes Fe³⁺ from equilibrium — left side runs in reverse).
(iv) Stays the same.
Conclusion: The reaction Fe³⁺ + SCN⁻ ⇌ [Fe(SCN)]²⁺ is reversible! Adding reactants drives equilibrium to products; removing them drives it back. This is Le Chatelier's principle in action.
Worked Example 6.1: Identify Equilibrium State
A 1-L sealed flask contains 0.4 mol N₂O₄ and 0.6 mol NO₂ at equilibrium. Is the system at equilibrium even though [NO₂] ≠ [N₂O₄]?
The given values just describe one particular equilibrium state — the system is at equilibrium when [N₂O₄] and [NO₂] no longer change with time. The ratio [NO₂]²/[N₂O₄] = (0.6)²/0.4 = 0.9 M (this is K_c at that T).
Worked Example 6.2: Saturated Solution as Equilibrium
Excess solid CuSO₄·5H₂O is shaken with water. At 25 °C the saturated solution contains 22.0 g per 100 g water. Is the rate of dissolution zero?
🎯 Competency-Based Questions
Q1. Which is true about equilibrium? L1 Remember
Q2. Why does a closed soda bottle keep its fizz, while an opened one goes flat? L2 Understand
Q3. Saturated KCl(aq) at 20 °C has [KCl] = 4.4 M. Why does adding more solid KCl not raise the concentration? L3 Apply
Q4. True / False: A reaction at equilibrium has stopped. L2 Understand
Q5. HOT (Analyse): Sketch a graph of forward and reverse rates vs time for A + B → C + D. At what point does the system reach equilibrium? Mark the equilibrium time t_eq and explain why both rates remain non-zero at t_eq. L4 Analyse
🧠 Assertion–Reason Questions
Choose: (A) Both true, R explains A. (B) Both true, R doesn't explain A. (C) A true, R false. (D) A false, R true.
A: Chemical equilibrium is dynamic in nature.
R: At equilibrium, both forward and reverse reactions stop.
A: The vapour pressure of a liquid in a closed container at constant T is always the same.
R: Saturated vapour pressure depends only on the nature of the liquid and temperature.
A: Equilibrium can be approached from either direction.
R: The same equilibrium state is reached whether we start from reactants or products.