🔥 Thermodynamics – Stage 3

Page 10 : Mixed Integer & Conceptual Numericals (JEE Advanced)

This page tests calculation + judgment. You must decide the formula before inserting numbers.

Q1️⃣ Integer Type – Isothermal Expansion

One mole of ideal gas expands isothermally at 300 K from 1 L to 4 L. Calculate work done (in units of R·T).

W = nRT ln(V₂/V₁) = RT ln(4) ✔ Integer answer: ln(4)

Q2️⃣ Conceptual – Adiabatic Compression

During adiabatic compression of ideal gas:

✔ Temperature increases ✔ Pressure increases ✔ Internal energy increases ❌ Heat exchange = 0

Q3️⃣ Integer – Free Expansion

One mole ideal gas expands freely into vacuum. Calculate ΔU (in joules).

✔ Q = 0 ✔ W = 0 ✔ ΔU = 0 ✔ Integer answer: 0

Q4️⃣ Mixed – Cyclic Process

A gas completes a cycle on P–V diagram. Net heat absorbed is 500 J.

✔ ΔU = 0 (cycle) ✔ Q = W ✔ Work done = 500 J

Q5️⃣ Conceptual – Entropy

Which process always increases entropy?

✔ Free expansion ✔ Irreversible processes ❌ Reversible adiabatic (ΔS = 0)

Q6️⃣ Integer – Heat Engine

Heat engine absorbs 600 J and rejects 400 J. Find efficiency × 100.

η = (600−400)/600 = 1/3 ✔ Answer = 33

Q7️⃣ Multi-Concept – Ideal Gas + First Law

In an isobaric process, heat supplied is 1000 J and work done is 400 J.

ΔU = Q − W = 1000 − 400 ✔ ΔU = 600 J

Q8️⃣ Conceptual Trap – Specific Heat

Which is greater for ideal gas?

✔ C_p > C_v ✔ C_p − C_v = R

Q9️⃣ Integer – Adiabatic Relation

In adiabatic expansion, if volume doubles, temperature changes by factor?

T ∝ V^1−γ ✔ Answer depends on γ (monoatomic: γ = 5/3)

Q🔟 JEE Advanced Mindset Question

A process is slow but irreversible. Is it quasi-static?

❌ Slow ≠ reversible ✔ Irreversibility breaks quasi-static condition

✅ Stage 3 – Page 10 Completed
🎯 Thermodynamics (Full JEE Track) Finished

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🔥 Thermodynamics – Objective Final Revision

Thermodynamics – Set 1
Set 2
Set 3
Set 4
Set 5
Set 6
Set 7
Set 8
Set 9
Set 10
Set 11
Set 12
Set 13
Set 14
Set 15
Set 16
Set 17
Set 18
Set 19
Set 20
Set 21
Set 22
Set 23
Set 24
Set 25
Set 26
Set 27
Set 28
Set 29
Set 30
Set 31
Set 32
Set 33
Set 34
Set 35
Set 36
Set 37
Set 38
Set 39
Set 40
Set 41
Set 42
Set 43
Set 44
Set 45
Set 46
Set 47
Set 48
Set 49
Set 50
Set 51
Set 52
Set 53
Set 54
Set 55
Set 56
Set 57
Set 59

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