The Mechanism · Gated-generation receipt

gen-define-the-mole-concept-and-give-one-short-worked-example-ce40

stable pending witness
2026-05-29 02:53:28 UTC · anthropic/claude-sonnet-4-5

Prompt

Define the mole concept and give one short worked example.
58 chars

Generation

# The Mole Concept **Definition:** A mole is the SI unit for amount of substance. One mole contains exactly **6.022 × 10²³** particles (atoms, molecules, ions, etc.). This number is called **Avogadro's constant**. Key relationship: **1 mole of any substance = its relative atomic/molecular mass in grams** --- ## Worked Example **Question:** How many moles are in 8.0 g of sodium hydroxide (NaOH)? **Solution:** Step 1: Find the molar mass of NaOH - Na = 23 g/mol - O = 16 g/mol - H = 1 g/mol - **Molar mass = 23 + 16 + 1 = 40 g/mol** Step 2: Use the formula: $$\text{Moles} = \frac{\text{Mass}}{\text{Molar mass}}$$ $$\text{Moles} = \frac{8.0 \text{ g}}{40 \text{ g/mol}} = 0.2 \text{ mol}$$ **Answer:** 8.0 g of NaOH contains **0.2 moles**
19 tokens in · 303 tokens out · 5403 ms · $0.0046

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
5411.5 ms
Base LLM
5403.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0046

Trail

02:53:28 received prompt_chars=58 verifiers=['scripture_anchors', 'theology_doctrine']
02:53:28 red_gate decision=pass reason=no disqualifying input patterns detected
02:53:33 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=19 tokens_out=303 latency_ms=5403.0 cost_usd=0.0046
02:53:33 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:53:33 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:53:33 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:53:33 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:53:33 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:53:33 signed hash_algo=sha256 hash=sha256:08594fcbe16da923bc9ed67efd783e16e8871971b25dfd073a62656ce76d6edd

Content hash

sha256:08594fcbe16da923bc9ed67efd783e16e8871971b25dfd073a62656ce76d6edd

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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