Understanding Equilibrium in Physical Processes
What is Equilibrium? 🤔
Equilibrium is a dynamic state where two opposing processes happen at the same rate, so there’s no overall change. It’s like a dance where both partners move equally fast!
Types of Physical Equilibria ⚖️
1. Solid ⇌ Liquid (e.g., Ice-Water)
- At 273 K and 1 atm pressure, ice and water coexist in a thermos (no heat exchange).
- 💧 Dynamic process: Water molecules constantly melt ice and freeze back at equal rates:
\[ \text{rate}_{\text{(ice→water)}} = \text{rate}_{\text{(water→ice)}} \] - Temperature remains constant, and masses don’t change.
- This temperature is called the normal melting/freezing point.
2. Liquid ⇌ Vapour (e.g., Water-Steam)
- In a closed box with a manometer:
- Water evaporates → pressure increases.
- Vapour condenses → pressure stabilizes.
- ⚡ Equilibrium: When evaporation rate = condensation rate:
\[ \text{H}_2\text{O}(l) \rightleftharpoons \text{H}_2\text{O}(\text{vap}) \] - Constant pressure at equilibrium is called vapour pressure.
- Normal boiling point 🌡️: Temperature where liquid/vapour equilibrium exists at 1.013 bar (e.g., water boils at 100°C).
- ⚠️ Open systems (e.g., water in an open dish) never reach equilibrium because vapour escapes!
3. Solid ⇌ Vapour (Sublimation)
- Example: Iodine crystals in a closed vial turn into violet vapour.
- 🌈 Equilibrium when colour intensity stabilizes:
\[ \text{I}_2(\text{solid}) \rightleftharpoons \text{I}_2(\text{vapour}) \] - Also seen in camphor or \(\text{NH}_4\text{Cl}\).
4. Solid ⇌ Solution (Dissolution)
- Saturated solution: No more solute dissolves (e.g., sugar in water).
- ⚖️ Dynamic equilibrium: Dissolution rate = crystallization rate:
\[ \text{Sugar(solid)} \rightleftharpoons \text{Sugar(solution)} \] - Proven using radioactive sugar! ☢️ Radioactivity appears in both solid and solution over time.
5. Gas ⇌ Solution (e.g., CO₂ in Soda)
- Governed by Henry’s Law: Mass of dissolved gas ∝ Pressure above solvent.
- 🥤 Soda bottle example:
- Sealed: High CO₂ pressure → more gas dissolves.
- Opened: CO₂ fizzes out until new equilibrium (lower pressure) is reached.
- Equilibrium: \[ \text{CO}_2(\text{gas}) \rightleftharpoons \text{CO}_2(\text{in solution}) \]
- Solubility ↓ as temperature ↑.
Key Features of Physical Equilibria 🔑
Process | Constant at Equilibrium |
---|---|
\(\text{H}_2\text{O}(l) \rightleftharpoons \text{H}_2\text{O}(g)\) | Vapour pressure (\(P_{\text{H}_2\text{O}}\)) at given T |
\(\text{H}_2\text{O}(s) \rightleftharpoons \text{H}_2\text{O}(l)\) | Melting point at constant P |
\(\text{Sugar}(s) \rightleftharpoons \text{Sugar(solution)}\) | Solute concentration at given T |
\(\text{CO}_2(g) \rightleftharpoons \text{CO}_2(aq)\) | \(\frac{[\text{CO}_2(aq)]}{[\text{CO}_2(g)]}\) = constant at given T |
General Rules for Physical Equilibrium 📜
- Only possible in closed systems (no escape route!).
- Opposing processes occur at equal rates (dynamic but stable).
- All measurable properties (mass, pressure, concentration) stay constant.
- Each equilibrium has one constant parameter (see table above).
- This parameter tells us “how far” the process went before balancing.
Chemical Equilibrium: A Quick Peek! ⚗️
- Same idea: Forward/reaction rates become equal:
\[ \text{A} + \text{B} \rightleftharpoons \text{C} + \text{D} \] - Concentrations stabilize (see graph below).
- Proven by Haber’s ammonia synthesis:
- Using \(\text{D}_2\) (deuterium) instead of \(\text{H}_2\) gives same equilibrium, just with \(\text{ND}_3\)! 🤯
Fig: Concentration vs. Time in Chemical Equilibrium
Concentration
▲
| C or D
| /↘
| / ↘
| / ↘__________
|/ A or B
└──────────────────► Time
Equilibrium reached
NEET Must-Knows! 🎯
- Dynamic Equilibrium: Rates of forward/reverse processes are equal (no net change).
- Vapour Pressure: Constant at liquid⇌vapour equilibrium; depends on temperature.
- Henry’s Law: Gas solubility ∝ Pressure above liquid (e.g., CO₂ in soda).
- Closed Systems: Essential for all physical equilibria (open systems can’t reach equilibrium!).
- Saturated Solutions: Dynamic equilibrium between dissolved and undissolved solute.
Keep practicing — equilibrium is all about balance, just like studying! ✨