🌡️ Thermodynamics – Stage 2
Page 3 : First Law in Multi-Process & Mixed Systems
JEE Advanced loves problems where a system undergoes multiple processes.
One wrong step → entire answer collapses.
1️⃣ First Law – Universal Backbone
ΔU = Q − W
(Always true, regardless of process)
(Always true, regardless of process)
👉 First Law is applied process-wise in multi-step questions
2️⃣ Multi-Step Process Strategy (Toppers’ Method)
For each step:
- Identify the process
- Find W (work)
- Find ΔU
- Use ΔU = Q − W
👉 Final values = algebraic sum of all steps
3️⃣ Common Multi-Process Combination (Very High Yield)
Isothermal → Isochoric → Isobaric
- Step 1: ΔU = 0
- Step 2: W = 0
- Step 3: Both Q & W present
⚠ Many students incorrectly assume same formula for all steps
4️⃣ Total Internal Energy Change
ΔU depends only on:
Initial & Final Temperature
Initial & Final Temperature
ΔU = nCᵥ (T₂ − T₁)
👉 Path is irrelevant for ΔU
5️⃣ Heat Calculation – Stepwise Only
Total heat:
Qtotal = Q₁ + Q₂ + Q₃ + …
Qtotal = Q₁ + Q₂ + Q₃ + …
❌ Never use one formula for whole process
6️⃣ Cyclic + Non-Cyclic Hybrid Problems
If system returns to initial state:
- ΔU = 0
- Q = W
👉 Check if final temperature equals initial temperature
7️⃣ Sign Convention – Silent Killer
- Heat absorbed → Q +ve
- Heat rejected → Q −ve
- Expansion → W +ve
- Compression → W −ve
⚠ One sign error = wrong option
8️⃣ IIT Advanced Thinking Pattern
Ask yourself:
- Which step contributes maximum work?
- Where is temperature changing?
- Is any step redundant?
✅ Stage 2 – Page 3 Complete
👉 Next: Stage 2 – Page 4 : Heat Capacities, Cp vs Cv & Graphical Traps
👉 Next: Stage 2 – Page 4 : Heat Capacities, Cp vs Cv & Graphical Traps
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