PRAYOGX
ADV-2026-P1-CHE-Q13

Thermo-Signs Lab — which way does heat flow, and does disorder rise?

JEE Advanced 2026 Paper 1 · Q.13 Chemistry Thermodynamics · ΔH · ΔS · ΔG Matching list · single option +4 / 0 / −1 Press start · watch it happen
Answer
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The answer appears when the investigation finishes.

QMission brief — the question, verbatim

JEE (Advanced) 2026, Paper 1, Chemistry, Section 4 — matching list set, one correct option: +4 if it is chosen, 0 if unanswered, −1 otherwise.

Q.13  List-I contains various physical/chemical processes, and List-II contains combinations of changes in enthalpy (ΔH) and entropy (ΔS). Match each entry in List-I to the appropriate entry in List-II, and choose the correct option.

List-IList-II
(P) Physisorption(1) ΔH > 0 and ΔS > 0
(Q) Diamond ⟶ Graphite(2) ΔH < 0 and ΔS < 0
(R) Denaturation of protein(3) ΔH < 0 and ΔS = 0
(S) Propene ⟶ Cyclopropane(4) ΔH > 0 and ΔS < 0
(5) ΔH < 0 and ΔS > 0
  1. (A)  P → 2; Q → 3; R → 5; S → 4
  2. (B)  P → 4; Q → 3; R → 5; S → 1
  3. (C)  P → 2; Q → 5; R → 1; S → 4
  4. (D)  P → 2; Q → 5; R → 1; S → 3
P →
?
Q →
?
R →
?
S →
?
OPTION
?
The mystery. Four very different processes — gas sticking to charcoal, one form of carbon turning into another, a protein coming apart, a chain closing into a ring. For each one the lab measures the heat that flows and works out how the disorder changes, reads off the two signs and finds the List-II entry. Only one printed option can match all four.

01Interactive experiment

Four measurements, one bench — the apparatus on the left, the ΔH and ΔS meters on the right, in step. Press START EXPERIMENT: set up → measure P, Q, R, S → the sign plane → test options A–D → answer.

Ready
01 Setup02 P03 Q04 R 05 S06 Sign plane07 Options08 Final answer
Set your values or use the question defaults.
Answer——

Thermo-signs lab

step 1 of 7

Four processes, two signs each. The question's processes are loaded — press START EXPERIMENT.

✓ EXPERIMENT COMPLETE
✓ QUESTION VALUES LOADED

Customize experiment — optional

Instrument panel

step
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temperature
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progress
0 %
ΔH
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ΔS
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ΔG at that T
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signs
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List-II
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option
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Orange waves: heat flowing out of the system (ΔH < 0). Blue waves: heat flowing in (ΔH > 0). The needles swing left for a negative value and right for a positive one; the number is printed under each.

Nothing needs to be chosen. Press START EXPERIMENT.

ΔG against temperature, for each measured process

ΔG / |ΔH| = 1 − T·ΔS/ΔH; below zero the process is spontaneous

ΔH and ΔS of each process

the measured values, on a log scale so that 1.9 and 1440 both show

Option analysis — claim → evidence → verdict

(A)P → 2; Q → 3; R → 5; S → 4

not yet examined

UNEVALUATED
(B)P → 4; Q → 3; R → 5; S → 1

not yet examined

UNEVALUATED
(C)P → 2; Q → 5; R → 1; S → 4

not yet examined

UNEVALUATED
(D)P → 2; Q → 5; R → 1; S → 3

not yet examined

UNEVALUATED
🔥Calorimetrist
💎Hess Master
🧬DSC Pro
🎲Entropy Hunter
🧭Sign Navigator
🏆Chemistry Master
Reasoning log — input → action → change → observation → conclusion

Nothing investigated yet.

    Evidence table (0)

    02ΔG–T explorer

    Pick a process and slide the temperature. The point on the sign plane never moves — ΔH and ΔS keep their signs — but ΔG = ΔH − TΔS can change sign, and with it whether the process goes by itself.

    03Detailed solution

    The complete worked solution — every structure, step and calculation.

    Understand the concept

    ΔH: which way heat flows

    At constant pressure ΔH is the heat taken in. Heat out (bonds or attractions formed): ΔH < 0. Heat in (bonds broken, strain built): ΔH > 0.

    qp = ΔH

    ΔS: how many ways

    Entropy counts the arrangements and motions available. Freedom gained (gas formed, chain unfolded, rotor freed): ΔS > 0; freedom lost: ΔS < 0.

    S = kB ln W

    Signs are fixed; ΔG is not

    ΔH and ΔS hardly change with temperature, so their signs place a process in one List-II entry. ΔG decides spontaneity at a given T.

    ΔG = ΔH − TΔS

    Reading an option

    An option is correct only if all four of its entries match. One wrong entry rejects it.

    P → 2, Q → 5, R → 1, S → 4
    1. (P) Physisorption — ΔH < 0, ΔS < 0 → (2)

      Gas molecules are held on the surface by van der Waals forces: an attraction forms, so heat is released (typical enthalpy of physisorption −20 to −40 kJ/mol or less; ≈ −15 kJ/mol for N₂ on charcoal). A molecule that flew freely in three dimensions is now confined to the surface.

      Strans(3-D gas, N₂, 77 K, 1 bar) = R[ln((2πmkT/h²)3/2 kT/p) + 5/2] = 122.3 J/K·mol
      Strans(2-D film, 0.162 nm² per molecule) = R[ln((2πmkT/h²)·a) + 2] = 56.1 J/K·mol
      ΔS ≈ 56.1 − 122.3 = −66.2 J/K·mol  ⇒  ΔH < 0 and ΔS < 0  ⇒  (2)

      Consistent with ΔG = ΔH − TΔS: physisorption is favourable at low temperature and falls off as T rises — exactly what is observed.

    2. (Q) Diamond ⟶ Graphite — ΔH < 0, ΔS > 0 → (5)

      Hess's law: ΔH = ΔcH°(diamond) − ΔcH°(graphite) = (−395.4) − (−393.5) = −1.9 kJ/mol
      ΔS = S°(graphite) − S°(diamond) = 5.74 − 2.38 = +3.36 J/K·mol
      ΔG°(298 K) = −1.9 − 298 × 0.00336 = −2.9 kJ/mol  ⇒  ΔH < 0 and ΔS > 0  ⇒  (5)

      Graphite is the standard state of carbon (ΔfH° = 0); diamond lies 1.9 kJ/mol above it. Graphite's weakly held layers vibrate in more low-energy ways than diamond's rigid 3-D network, so its entropy is higher. The change is spontaneous but immeasurably slow. Trap: ΔS = 0 (option A/B's "3") — the two solids have measurably different entropies.

    3. (R) Denaturation of protein — ΔH > 0, ΔS > 0 → (1)

      Unfolding breaks many hydrogen bonds and other non-covalent contacts: heat is absorbed (a DSC scan shows an endothermic peak; its area is ΔH, several hundred kJ/mol for a small protein). The unfolded chain can adopt an enormous number of conformations: ΔS > 0.

      two-state model: at Tm, ΔG = 0 ⇒ ΔS = ΔH / Tm
      e.g. ΔH ≈ +500 kJ/mol, Tm ≈ 347 K ⇒ ΔS ≈ +500 000 / 347 = +1441 J/K·mol
      ΔH > 0 and ΔS > 0  ⇒  (1) — entropy-driven: it happens above Tm, where TΔS > ΔH
    4. (S) Propene ⟶ Cyclopropane — ΔH > 0, ΔS < 0 → (4)

      ring closureΔH = +33.3 kJ/mol
      Propene (one C=C, free CH₃ rotation) and cyclopropane (three C–C bonds at 60°, no free rotor).
      Hess's law: ΔH = ΔcH°(propene) − ΔcH°(cyclopropane) = (−2058.0) − (−2091.3) = +33.3 kJ/mol
      (the same from formation enthalpies: ΔfH°(cyclopropane, g) − ΔfH°(propene, g) = 53.3 − 20.0 = +33.3 kJ/mol)
      ΔS = S°(cyclopropane) − S°(propene) = 237.5 − 267.0 = −29.5 J/K·mol
      ΔG°(298 K) = 33.3 + 298 × 0.0295 = +42.1 kJ/mol  ⇒  ΔH > 0 and ΔS < 0  ⇒  (4)

      The ring is strained (60° angles instead of 109.5°), so it lies higher in energy; closing it turns a flexible chain with a freely rotating CH₃ into a rigid ring, so ΔS < 0. With ΔH > 0 and ΔS < 0, ΔG > 0 at every temperature. Trap: "(3) ΔH < 0, ΔS = 0" (option D) — wrong on both counts.

    5. Step 5 — The sign plane and the options

      (1) ΔH>0, ΔS>0(4) ΔH>0, ΔS<0(2) ΔH<0, ΔS<0(5) ΔH<0, ΔS>0(3) ΔH<0, ΔS=0ΔS →ΔH ↑PQRS
      Each process placed by the signs of its measured ΔH and ΔS (distances compressed; only the quadrant matters).
      OptionPQRSVerdict
      (A)2 ✓3 ✗5 ✗4 ✓rejected
      (B)4 ✗3 ✗5 ✗1 ✗rejected
      (C)2 ✓5 ✓1 ✓4 ✓correct
      (D)2 ✓5 ✓1 ✓3 ✗rejected
      P → 2, Q → 5, R → 1, S → 4  ⇒  correct option = —

    Independent verification

    • Standard data. ΔcH° and S° values from standard tables; the propene → cyclopropane ΔH agrees from combustion and from formation enthalpies (+33.3 kJ/mol both ways).
    • Statistical mechanics. The Sackur–Tetrode 3-D and 2-D translational entropies of N₂ give ΔS < 0 for physisorption at every temperature and coverage tested.
    • DSC model. A two-state unfolding scan integrated numerically returns the input ΔH; ΔS = ΔH/Tm > 0.
    • Controls. Reversing Q, R or S flips both signs and leaves no printed option matching; chemisorption keeps (2).
    • Solution websites. MathonGo's published solution (their Q45) gives (C).
    • This page. Every ΔH and ΔS is computed at run time from the data and models; the signs, the List-II entries and the option are then read off — nothing is written in.
    • Answer key. Checked afterwards against the official final key printed with the paper: Q13 → C.

    04How to use this simulation

    For a student opening it for the first time. The whole investigation runs by itself after one press.

    STEP 1

    Read the mission brief

    Four processes in List-I, five sign combinations in List-II, four options. Which option matches all four?

    STEP 2

    Check the values

    The question's processes are loaded. You do not need to change anything. The answer is shown above the experiment.

    STEP 3

    Optional: customize

    Swap physisorption for chemisorption, or run Q, R or S backwards. The lab says honestly when you have left the question. ↺ RESTORE QUESTION CONDITIONS puts everything back.

    STEP 4

    Start

    Press ▶ START EXPERIMENT under the experiment screen. Nothing else to click (about a minute; SLOW MOTION or 2× changes the pace).

    STEP 5

    Watch each measurement

    Left: the apparatus — gas sticking, a lattice opening, a protein unfolding in a DSC, a chain closing into a ring. Right: the ΔH and ΔS needles, the Hess ladder or the thermogram, and the List-II entry.

    STEP 6

    The sign plane and the options

    All four processes fly onto a ΔH–ΔS plane; each option is then tested entry by entry. Badges unlock on the way.

    STEP 7

    Explore

    In the ΔG–T explorer sweep the temperature and see when each process becomes spontaneous. Then read the Detailed solution.

    STEP 8

    Experiment again

    Press ▶ REPLAY EXPERIMENT, or change a process and press ⚙ RUN WITH CUSTOM VALUES. CLASSROOM MODE enlarges everything for a projector.

    Classification

    ExamJEE Advanced 2026, Paper 1, Chemistry, Section 4, Q.13
    ChapterThermodynamics
    TopicSigns of enthalpy and entropy change - adsorption, allotropes, protein denaturation and ring strain
    DifficultyModerate
    Answer— run the experiment