The Mechanism · Gated-generation receipt

gen-define-le-chatelier-s-principle-and-give-one-short-worked-ex-00f5

stable pending witness
2026-05-29 07:19:05 UTC · anthropic/claude-sonnet-4-5

Prompt

Define Le Chatelier's principle and give one short worked example.
66 chars

Generation

# Le Chatelier's Principle **Definition:** When a system at equilibrium is subjected to a change in concentration, temperature, or pressure, the system will shift its equilibrium position in a direction that counteracts the imposed change. In simpler terms: *A system at equilibrium responds to stress by shifting to relieve that stress.* ## Worked Example **Consider the equilibrium:** $$\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) \quad \Delta H = -92 \text{ kJ/mol}$$ **Question:** What happens if we increase the temperature? **Solution:** - The reaction is exothermic (releases heat, negative ΔH) - We can think of heat as a "product": N₂ + 3H₂ ⇌ 2NH₃ + heat - Increasing temperature = adding heat to the system - By Le Chatelier's principle, the system shifts to counteract this change - **The equilibrium shifts LEFT** (toward reactants) to consume the added heat - **Result:** Less NH₃ is produced at higher temperatures This is why the Haber process for ammonia production uses moderate temperatures (400-450°C) rather than high temperatures—even though higher temperatures increase reaction rate, they decrease the equilibrium yield.
21 tokens in · 323 tokens out · 8608 ms · $0.0049

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
8615.5 ms
Base LLM
8608.1 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0049

Trail

07:19:05 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
07:19:05 red_gate decision=pass reason=no disqualifying input patterns detected
07:19:14 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=21 tokens_out=323 latency_ms=8608.1 cost_usd=0.0049
07:19:14 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:19:14 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:19:14 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:19:14 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:19:14 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:19:14 signed hash_algo=sha256 hash=sha256:e31f84cbd86fc95ccc78ffe37370504f8f34341b90712801d1959a2a6e3e888e

Content hash

sha256:e31f84cbd86fc95ccc78ffe37370504f8f34341b90712801d1959a2a6e3e888e

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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