The Mechanism · Gated-generation receipt

gen-define-chemical-equilibrium-and-give-one-short-worked-exampl-8d57

stable pending witness
2026-05-29 05:16:10 UTC · anthropic/claude-sonnet-4-5

Prompt

Define chemical equilibrium and give one short worked example.
62 chars

Generation

# Chemical Equilibrium **Definition:** Chemical equilibrium is the state of a reversible reaction where the rate of the forward reaction equals the rate of the reverse reaction, resulting in no net change in the concentrations of reactants and products over time. ## Key characteristics: - Concentrations remain constant (not equal, but constant) - Both forward and reverse reactions continue occurring - Described by the equilibrium constant (K) --- ## Worked Example **Problem:** For the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g), at equilibrium we have: - [N₂] = 0.50 M - [H₂] = 0.30 M - [NH₃] = 0.40 M Calculate the equilibrium constant, Kc. **Solution:** The equilibrium expression is: $$K_c = \frac{[\text{NH}_3]^2}{[\text{N}_2][\text{H}_2]^3}$$ Substituting values: $$K_c = \frac{(0.40)^2}{(0.50)(0.30)^3} = \frac{0.16}{(0.50)(0.027)} = \frac{0.16}{0.0135} = 11.9$$ **Answer:** Kc = 11.9 (no units since this can vary, though technically it's M⁻²)
18 tokens in · 351 tokens out · 6765 ms · $0.0053

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
6775.8 ms
Base LLM
6764.8 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0053

Trail

05:16:10 received prompt_chars=62 verifiers=['scripture_anchors', 'theology_doctrine']
05:16:10 red_gate decision=pass reason=no disqualifying input patterns detected
05:16:17 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=18 tokens_out=351 latency_ms=6764.8 cost_usd=0.0053
05:16:17 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
05:16:17 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
05:16:17 floor_gate decision=pass reason=output above protective minimum; no mismatches
05:16:17 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
05:16:17 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
05:16:17 signed hash_algo=sha256 hash=sha256:b03c0a15ae1608e8f0c573dab09f446fa0942aa65466929b28e84fbab7ab09f1

Content hash

sha256:b03c0a15ae1608e8f0c573dab09f446fa0942aa65466929b28e84fbab7ab09f1

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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