🔥 Thermodynamics – Stage 1

Page 2 : Heat, Work & P–V Diagrams (JEE Core)

Core Idea:
Energy transfer in thermodynamics happens only in two ways: Heat (Q) and Work (W).

1️⃣ Heat (Q)

Heat is the form of energy transferred due to temperature difference between the system and surroundings.
Key Points:
• Heat flows from higher to lower temperature
• Heat is a path function
• Heat is NOT stored in a system
❌ System does NOT possess heat ✔ System possesses internal energy

2️⃣ Work (W)

Work is said to be done when a force causes displacement at the boundary of the system.
In Thermodynamics:
Work is mainly associated with change in volume.

3️⃣ Work Done in Volume Change

For a gas inside a cylinder:
Infinitesimal Work:
dW = P dV
Total Work:
W = ∫ P dV
➤ Area under P–V curve = Work done

4️⃣ Sign Convention (VERY IMPORTANT)

Work Done:
• Expansion → W positive
• Compression → W negative
Heat Transfer:
• Heat absorbed → Q positive
• Heat released → Q negative

5️⃣ Pressure–Volume (P–V) Diagram

A P–V diagram is a graphical representation of thermodynamic processes.
Axes:
• X-axis → Volume (V)
• Y-axis → Pressure (P)

6️⃣ Important Thermodynamic Processes

(a) Isobaric Process (P = constant)
• Horizontal line on P–V diagram
• Work = P(V₂ − V₁)
(b) Isochoric Process (V = constant)
• Vertical line on P–V diagram
• Work = 0
(c) Isothermal Process (T = constant)
• Hyperbola on P–V diagram
• PV = constant
(d) Adiabatic Process (Q = 0)
• Steeper curve than isothermal
• PVγ = constant

7️⃣ Zero Work Situations

Work = 0 when:
• No change in volume
• Free expansion in vacuum
• Rigid container

📌 JEE Exam Traps

• Area under curve ≠ area between curves
• Vertical line → zero work
• Work depends on path, not just end states
• Same ΔV ≠ same work (path matters)

👉 Next Page:
Page 3 – First Law of Thermodynamics (ΔQ = ΔU + W)

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