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Question #44227

Difficulty: 8/10 | 🟢 Free

The Question

An equilibrium mixture of \ceF2(g)+Cl2(g)<=>2ClF(g)\ce{F2(g) + Cl2(g) <=> 2ClF(g)} (ΔH∘=−108 kJ/mol\Delta H^\circ = -108 \text{ kJ/mol}) is contained in a thermally insulated cylinder at temperature T1T_1, fitted with a locked, frictionless piston. 2.0 moles2.0 \text{ moles} of ideal Argon gas (\ceAr\ce{Ar}) are injected into the cylinder. Immediately after, the piston is unlocked, allowing the gas mixture to undergo adiabatic expansion against a constant external pressure until mechanical equilibrium is reached at a new temperature T2T_2. Let ΔT=T2−T1\Delta T = T_2 - T_1 and Δn\ceClF\Delta n_{\ce{ClF}} be the net change in the number of moles of \ceClF\ce{ClF} from the initial to the final equilibrium state. Which of the following correctly represents ΔT\Delta T and Δn\ceClF\Delta n_{\ce{ClF}}?

Options

  • A.

    ΔT<0,Δn\ceClF>0\Delta T < 0, \Delta n_{\ce{ClF}} > 0

  • B.

    ΔT=0,Δn\ceClF=0\Delta T = 0, \Delta n_{\ce{ClF}} = 0

  • C.

    ΔT<0,Δn\ceClF=0\Delta T < 0, \Delta n_{\ce{ClF}} = 0

  • D.

    ΔT>0,Δn\ceClF<0\Delta T > 0, \Delta n_{\ce{ClF}} < 0

Check Your Answer

Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Mechanism_Trap

Don't get tricked by the process! Learn the mechanical traps used in competitive exam questions.

Concepts Behind This Question

Adiabatic Free Expansion|Le Chatelier’s Principle: Inert Gas Addition

Why This Question Is Tricky

Common Mistakes

This problem tests the intersection of chemical equilibrium and thermodynamics.

Students typically memorize the heuristic that 'adding inert gas at constant volume has no effect' and 'if Δng=0\Delta n_g = 0, volume changes have no effect', leading them to incorrectly choose ΔT=0,Δn\ceClF=0\Delta T = 0, \Delta n_{\ce{ClF}} = 0.

The hidden variable is the thermodynamic consequence of the adiabatic expansion: the system does work (ΔU=w<0\Delta U = w < 0), causing a mandatory temperature drop.

Because the equilibrium constant is strictly temperature-dependent, this thermal shift forces the exothermic reaction forward, overriding standard isothermal heuristics.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterThermodynamics - Class 11 Part 1
ConceptAdiabatic Free Expansion
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree