🔥 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.
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
• 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
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
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
• 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
• Work W = 0
• ΔQ = ΔU
(b) Isothermal Process (T = constant)
• ΔU = 0 (for ideal gas)
• ΔQ = W
• ΔU = 0 (for ideal gas)
• ΔQ = W
(c) Adiabatic Process (Q = 0)
• ΔU = −W
• ΔU = −W
(d) Cyclic Process
• Final state = Initial state
• ΔU = 0
• Net heat = Net work
• 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
Internal energy depends only on temperature
Monoatomic Gas:
U = (3/2) nRT
U = (3/2) nRT
Diatomic Gas:
U = (5/2) nRT
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
• 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
✔ 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
Page 4 – Specific Heat Capacities (Cp, Cv) & Mayer’s Relation
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