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Question #44227
The Question
An equilibrium mixture of () is contained in a thermally insulated cylinder at temperature , fitted with a locked, frictionless piston. of ideal Argon gas () 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 . Let and be the net change in the number of moles of from the initial to the final equilibrium state. Which of the following correctly represents and ?
Options
- A.
- B.
- C.
- D.
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 , volume changes have no effect', leading them to incorrectly choose .
The hidden variable is the thermodynamic consequence of the adiabatic expansion: the system does work (), 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
| Subject | Chemistry |
| Chapter | Thermodynamics - Class 11 Part 1 |
| Concept | Adiabatic Free Expansion |
| Difficulty | 8 |
| Cognitive Load | 7 |
| Target Solve Time | 160 sec |
| Access | Free |