🔥 Thermodynamics – Stage 2

Page 5 : Adiabatic Process & Poisson’s Equations (JEE Advanced Core)

Adiabatic process is the backbone of thermodynamics problems. One wrong assumption → entire solution collapses.

---

1️⃣ What is an Adiabatic Process?

Adiabatic Process: A thermodynamic process in which no heat exchange takes place.

👉 Q = 0
👉 Temperature can change
👉 Work is done at the expense of internal energy

---

2️⃣ Key Adiabatic Condition (JEE Favorite)

PV^γ = Constant

✔ Valid only for ideal gas
✔ Process must be quasi-static

---

3️⃣ Poisson’s Equations (Must Memorize)

• PV^γ = constant
• TV^γ−1 = constant
• T^γP^1−γ = constant

⚠ Examiner mixes these deliberately — choose carefully.

---

4️⃣ Temperature Change in Adiabatic Process

During expansion → Temperature decreases
During compression → Temperature increases

👉 No heat leaves or enters 👉 Energy change comes purely from work

---

5️⃣ Work Done in Adiabatic Process

Work Done:
W = (P₁V₁ − P₂V₂) / (γ − 1)

✔ Formula valid only for ideal gas
✔ Must not use isothermal work formula

---

6️⃣ P–V Graph Comparison (High Yield)

For same initial state:

• Isothermal curve → flatter
• Adiabatic curve → steeper

❌ Students often reverse this in exams

---

7️⃣ JEE Advanced Trap Zone

• Fast process ≠ adiabatic always
• Insulated system ≠ adiabatic if non-quasi static
• PVγ = constant applies only to ideal gas
• Q = 0 does NOT mean T = constant

---

8️⃣ One-Line Thinking Rule

If heat exchange is zero → think ADIABATIC → apply Poisson relations.

---

✅ Stage 2 – Page 5 Completed
➡️ Next: Stage 2 – Page 6 : Isothermal vs Adiabatic (Comparative Mastery & PYQ Traps)

📚 IIT–JEE PHYSICS MASTER LIBRARY (ADVANCED)

One-stop structured learning hub for JEE Advanced Physics
Concepts • Objective Questions • Final Revision • Complete Libraries

---

🔥 Thermodynamics – Objective Final Revision

Thermodynamics – Set 1
Set 2
Set 3
Set 4
Set 5
Set 6
Set 7
Set 8
Set 9
Set 10
Set 11
Set 12
Set 13
Set 14
Set 15
Set 16
Set 17
Set 18
Set 19
Set 20
Set 21
Set 22
Set 23
Set 24
Set 25
Set 26
Set 27
Set 28
Set 29
Set 30
Set 31
Set 32
Set 33
Set 34
Set 35
Set 36
Set 37
Set 38
Set 39
Set 40
Set 41
Set 42
Set 43
Set 44
Set 45
Set 46
Set 47
Set 48
Set 49
Set 50
Set 51
Set 52
Set 53
Set 54
Set 55
Set 56
Set 57
Set 59

---

📘 Complete Physics Libraries

• SHM – Complete Library
• Waves – Objective Library
• Gravitation – Complete Library
• Momentum & Collisions
• Centre of Mass
• Work, Energy & Power
• WEP – Intermediate Notes
• Motion in a Plane

---

🔗 Learning Hubs & Community

• IIT–JEE Physics Master Library
• Physics Mega Library
• Advanced Stage-5 Material
• Shaktimatha Learning Resource Hub
• WhatsApp Learning Channel

---

© Mind Grow Magazine | Structured for Serious IIT–JEE Aspirants