🔥 Thermodynamics – Stage 1

Page 3 : First Law of Thermodynamics & Internal Energy

Central Law of Thermodynamics:
Energy can neither be created nor destroyed, it can only be transformed from one form to another.

1️⃣ Internal Energy (U)

Internal energy is the total microscopic energy of a system.
Includes:
• Translational KE of molecules
• Rotational KE of molecules
• Vibrational KE of molecules
• Intermolecular potential energy
❌ Internal energy does NOT include macroscopic KE or PE (motion or height of the system as a whole)
Important:
Internal energy is a state function

2️⃣ First Law of Thermodynamics

ΔQ = ΔU + W
This equation connects heat, work and internal energy.
Meaning of terms:
ΔQ → Heat supplied to system
ΔU → Change in internal energy
W → Work done by system

3️⃣ Physical Interpretation

Heat supplied to a system is used for:
• Increasing internal energy
• Doing external work
If no work is done → All heat changes internal energy If no heat is supplied → Work changes internal energy

4️⃣ Special Thermodynamic Processes (First Law)

(a) Isochoric Process (V = constant)
• Work W = 0
• ΔQ = ΔU
(b) Isothermal Process (T = constant)
• ΔU = 0 (for ideal gas)
• ΔQ = W
(c) Adiabatic Process (Q = 0)
• ΔU = −W
(d) Cyclic Process
• Final state = Initial state
• ΔU = 0
• Net heat = Net work

5️⃣ Internal Energy of Ideal Gas

For an ideal gas:
Internal energy depends only on temperature
Monoatomic Gas:
U = (3/2) nRT
Diatomic Gas:
U = (5/2) nRT

6️⃣ JEE Favourite Conceptual Traps

• ΔU = 0 does NOT mean Q = 0
• Q = 0 does NOT mean W = 0
• State function ≠ Path function
• Same initial & final states → same ΔU

7️⃣ Typical JEE Question Patterns

✔ Identify the process first
✔ Apply First Law accordingly
✔ Check sign convention carefully
✔ Eliminate options using ΔU logic

👉 Next Page:
Page 4 – Specific Heat Capacities (Cp, Cv) & Mayer’s Relation

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