🥇 Kinetic Theory of Gases – Stage 2 (Page 8)

This is a GOLD PAGE — designed to protect you from negative marking and help you out-think the examiner in JEE Advanced.

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1️⃣ Most Dangerous Trap: Speed vs Energy

Trap Statement: “If speed doubles, kinetic energy doubles.”

❌ WRONG

Kinetic Energy ∝ v²
If speed doubles → KE becomes 4 times

⚠ Examiner uses this trap very frequently.

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2️⃣ Temperature vs Pressure Trap

Question Pattern: Gas heated → what happens to pressure?

✔ If volume constant → pressure increases
✔ If pressure constant → volume increases
❌ If conditions not specified → DO NOT ASSUME

🔥 Examiner punishes blind assumptions.

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3️⃣ Maxwell Distribution – Concept Trap

Key Facts:

• Most probable speed < Average speed < RMS speed
• All molecules do NOT have same speed
• Distribution shifts right with temperature

✔ Any option claiming “same speed” is automatically false.

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4️⃣ PYQ Pattern: Mass Comparison

Question: At same temperature, which gas moves fastest?

v ∝ 1 / √M

Answer: Gas with lowest molar mass

💡 Trick: Never calculate unless needed — compare masses only.

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5️⃣ Mean Free Path – Examiner Psychology

Mean Free Path increases when:

• Density decreases
• Pressure decreases
• Temperature increases (at constant pressure)

❌ Many students wrongly choose “increase in molecular size”.

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6️⃣ Collision vs Pressure Trap

Important:

• More collisions ≠ always more pressure
• Pressure depends on momentum transfer
• Speed matters more than collision count

✔ High-speed fewer collisions can produce more pressure.

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7️⃣ Integer-Type Shortcut

Q. Temperature doubled → rms speed becomes?

v ∝ √T → √2 times

Answer: √2 (≈1.414)

✔ Do NOT write 2 — very common error.

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8️⃣ Multi-Correct Safety Rules 🛡

• If option says “all molecules” → suspect it
• If condition missing → re-read question
• If temperature same → KE same (independent of gas)
• If speed mentioned → check square relation

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9️⃣ One-Line Killer Facts

• Average KE depends only on temperature
• Pressure is a wall-effect phenomenon
• Gas laws are macroscopic outcomes of microscopic motion

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🥇 Stage 2 – Page 8 Completed — GOLD PAGE MASTERED.

📚 IIT–JEE Physics Complete Library (Class XI)

Curated for IIT-JEE Advanced Aspirants
Concepts • Numericals • Objective Questions • Revision Capsules

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🔥 Kinetic Theory of Gases (KTG) – Complete Library

1. KTG – Part 1
2. KTG – Part 2
3. KTG – Part 3
4. KTG – Part 4
5. KTG – Part 5
6. KTG – Part 6
7. KTG – Part 7
8. KTG – Special Notes
9. KTG – Part 9
10. KTG – Part 10
11. KTG – Part 11
12. KTG – Part 12
13. KTG – Part 13
14. KTG – Part 14
15. KTG – Part 15
16. KTG – Part 16
17. KTG – Part 17
18. KTG – Part 18
19. KTG – Part 19
20. KTG – Part 20
21. KTG – Part 21
22. KTG – Part 22
23. KTG – Part 23
24. KTG – Part 24
25. KTG – Part 25
26. KTG – Part 26
27. KTG – Part 27
28. KTG – Part 28
29. KTG – Part 29
30. KTG – Part 30

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📐 Properties of Matter – Complete IIT-JEE Library

1. Properties – Part 1
2. Properties – Part 2
3. Properties – Part 3
4. Properties – Part 4
5. Properties – Part 5
6. Properties – Part 6
7. Properties – Part 7
8. Properties – Part 8
9. Properties – Part 9
10. Properties – Part 10
11. Properties – Part 11
12. Properties – Part 12
13. Properties – Part 13
14. Properties – Part 14
15. Properties – Part 15
16. Properties – Part 16
17. Properties – Part 17
18. Properties – Part 18
19. Properties – Part 19
20. Properties – Part 20
21. Properties – Part 21
22. Properties – Part 22
23. Properties – Part 23
24. Properties – Part 24
25. Properties – Part 25

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🌟 Master & Mega Physics Libraries

• IIT-JEE Physics Master Library
• Physics Complete Mega Library
• SHM Complete Library
• Waves – JEE Advanced Library
• Gravitation Library
• Momentum & Collisions Library
• Centre of Mass Library
• Work Energy Power Library

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📌 Updated regularly • Built for IIT-JEE Success