prompt dict | response stringlengths 10 165 | meta dict | fact_sources listlengths 1 3 | artifacts dict |
|---|---|---|---|---|
{
"messages": [
{
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=65 kJ/mol, ΔS=-2... | ΔG = 184.08 kJ/mol. | {
"id": "WUA_CHEM_25K_016901",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0"... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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"style_contract": "concise_formal"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=0.47 mol, T=293 K, V=33.71 L... | P ≈ 0.335 atm. | {
"id": "WUA_CHEM_25K_016902",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
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"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=4.09 mol, T=262 K, V=48.12 L... | P ≈ 1.827 atm. | {
"id": "WUA_CHEM_25K_016903",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=184 kJ/mol, ΔS=1... | ΔG = 60.92 kJ/mol. | {
"id": "WUA_CHEM_25K_016904",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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] | {
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"style_contract": "concise_formal"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=0.25 mol, T=265 K, V=12.94 L... | P ≈ 0.420 atm. | {
"id": "WUA_CHEM_25K_016905",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
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"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.298 mol and ... | M = 1.155 mol/L. | {
"id": "WUA_CHEM_25K_016906",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
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"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=170 kJ/mol, ΔS=2... | ΔG = 103.21 kJ/mol. | {
"id": "WUA_CHEM_25K_016907",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=3.21 mol, T=327 K, V=12.17 L... | P ≈ 7.077 atm. | {
"id": "WUA_CHEM_25K_016908",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.008 mol and ... | M = 0.930 mol/L. | {
"id": "WUA_CHEM_25K_016909",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=2.47 M, V1=214... | M2 = 0.698 M. | {
"id": "WUA_CHEM_25K_016910",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=1.22 mol, T=322 K, V=17.72 L... | P ≈ 1.819 atm. | {
"id": "WUA_CHEM_25K_016911",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags"... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=92.39 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 5.1271 mol. | {
"id": "WUA_CHEM_25K_016912",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
"max_tokens_hint": 220,
"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 4.65e-11... | pH ≈ 10.33. | {
"id": "WUA_CHEM_25K_016913",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"... | [
{
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.43e-09... | pH ≈ 8.84. | {
"id": "WUA_CHEM_25K_016914",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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"style_contract": "concise_formal"
} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.56 M, V1=9 m... | M2 = 0.079 M. | {
"id": "WUA_CHEM_25K_016915",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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} |
{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.00031 ... | pH ≈ 3.51. | {
"id": "WUA_CHEM_25K_016916",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"ta... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=25 kJ/mol, ΔS=-1... | ΔG = 109.26 kJ/mol. | {
"id": "WUA_CHEM_25K_016917",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=4.03 mol, T=327 K, V=15.82 L... | P ≈ 6.835 atm. | {
"id": "WUA_CHEM_25K_016918",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"t... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=17.98 g (M=18.02 g... | Limiting reagent: A. Moles of C formed = 0.9978 mol. | {
"id": "WUA_CHEM_25K_016919",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=42.43 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.7260 mol. | {
"id": "WUA_CHEM_25K_016920",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "advanced",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Use PV=nRT. Given n=3.83 mol, T=275 K, V=36.05 L... | P ≈ 2.397 atm. | {
"id": "WUA_CHEM_25K_016921",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tag... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=2.416 mol and ... | M = 1.487 mol/L. | {
"id": "WUA_CHEM_25K_016922",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
"difficulty": "core",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
"tags... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
] | {
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=41.39 g (M=32.0 g/... | Limiting reagent: A. Moles of C formed = 1.2934 mol. | {
"id": "WUA_CHEM_25K_016923",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
"difficulty": "archon",
"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
"license": "cc-by-4.0",
... | [
{
"source_title": "Self-contained in prompt",
"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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{
"messages": [
{
"role": "system",
"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute molarity M = n/V. Given n=1.484 mol and ... | M = 0.595 mol/L. | {
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"domain": "master_scholars_academics",
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"content": "Compute molarity M = n/V. Given n=0.058 mol and ... | M = 0.029 mol/L. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.23 M, V1=109... | M2 = 0.031 M. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.00151 ... | pH ≈ 2.82. | {
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"content": "Use PV=nRT. Given n=2.7 mol, T=276 K, V=14.17 L,... | P ≈ 4.315 atm. | {
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"content": "Compute molarity M = n/V. Given n=0.822 mol and ... | M = 1.272 mol/L. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 1.63e-10... | pH ≈ 9.79. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.0154 m... | pH ≈ 1.81. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.46 M, V1=79 ... | M2 = 0.319 M. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-36 kJ/mol, ΔS=-... | ΔG = 101.02 kJ/mol. | {
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=82 kJ/mol, ΔS=19... | ΔG = -0.74 kJ/mol. | {
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-189 kJ/mol, ΔS=... | ΔG = -230.11 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Compute molarity M = n/V. Given n=1.186 mol and ... | M = 0.608 mol/L. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 8.21e-08... | pH ≈ 7.09. | {
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"task": "quantitative_reasoning",
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"content": "Use PV=nRT. Given n=4.44 mol, T=308 K, V=28.61 L... | P ≈ 3.922 atm. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 0.0104 m... | pH ≈ 1.98. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.95 M, V1=181... | M2 = 0.242 M. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-11 kJ/mol, ΔS=2... | ΔG = -106.27 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=238 kJ/mol, ΔS=8... | ΔG = 190.37 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Reaction: A + 2B → C. mass(A)=83.65 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 1.4314 mol. | {
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"license": "cc-by-4.0",... | [
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"role": "user",
"content": "Use PV=nRT. Given n=1.61 mol, T=265 K, V=11.04 L... | P ≈ 3.171 atm. | {
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"content": "Use PV=nRT. Given n=0.13 mol, T=286 K, V=27.96 L... | P ≈ 0.109 atm. | {
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"content": "Reaction: A + 2B → C. mass(A)=100.03 g (M=18.02 ... | Limiting reagent: B. Moles of C formed = 3.1709 mol. | {
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{
"role": "user",
"content": "Use PV=nRT. Given n=2.81 mol, T=343 K, V=25.94 L... | P ≈ 3.049 atm. | {
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 6.66e-06... | pH ≈ 5.18. | {
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"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.61 M, V1=228... | M2 = 0.404 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=66.62 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 0.4315 mol. | {
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"domain": "master_scholars_academics",
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=34 kJ/mol, ΔS=28... | ΔG = -140.78 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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{
"role": "user",
"content": "Compute molarity M = n/V. Given n=0.998 mol and ... | M = 0.370 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-249 kJ/mol, ΔS=... | ΔG = -372.80 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 4.91e-05... | pH ≈ 4.31. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Use PV=nRT. Given n=0.24 mol, T=264 K, V=42.35 L... | P ≈ 0.123 atm. | {
"id": "WUA_CHEM_25K_016957",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.000369... | pH ≈ 3.43. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 1.6e-05 ... | pH ≈ 4.80. | {
"id": "WUA_CHEM_25K_016959",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=160 kJ/mol, ΔS=-... | ΔG = 200.82 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.32 M, V1=180... | M2 = 0.326 M. | {
"id": "WUA_CHEM_25K_016961",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.00157 ... | pH ≈ 2.80. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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"role": "user",
"content": "Compute molarity M = n/V. Given n=0.518 mol and ... | M = 0.750 mol/L. | {
"id": "WUA_CHEM_25K_016963",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Use PV=nRT. Given n=4.84 mol, T=281 K, V=22.22 L... | P ≈ 5.023 atm. | {
"id": "WUA_CHEM_25K_016964",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=169 kJ/mol, ΔS=1... | ΔG = 85.95 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 8.36e-12... | pH ≈ 11.08. | {
"id": "WUA_CHEM_25K_016966",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Compute molarity M = n/V. Given n=1.321 mol and ... | M = 1.326 mol/L. | {
"id": "WUA_CHEM_25K_016967",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=0.93 M, V1=248... | M2 = 0.804 M. | {
"id": "WUA_CHEM_25K_016968",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
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{
"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.96 M, V1=47 ... | M2 = 0.970 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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},
{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=17.78 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.3042 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"truth_mode": "self_contained_math",
"wrapper": "minimal_chain",
"created_utc": "2026-01-04T05:02:58",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
},
{
"role": "user",
"content": "Compute pH = -log10([H+]). Given [H+] = 0.0772 m... | pH ≈ 1.11. | {
"id": "WUA_CHEM_25K_016971",
"domain": "master_scholars_academics",
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"content": "Use PV=nRT. Given n=4.97 mol, T=318 K, V=14.94 L... | P ≈ 8.681 atm. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.5 M, V1=233 ... | M2 = 0.202 M. | {
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"content": "Use PV=nRT. Given n=2.72 mol, T=253 K, V=2.07 L,... | P ≈ 27.279 atm. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.69 M, V1=42 ... | M2 = 0.448 M. | {
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"content": "Use PV=nRT. Given n=1.2 mol, T=284 K, V=20.41 L,... | P ≈ 1.370 atm. | {
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"role": "user",
"content": "Use PV=nRT. Given n=0.47 mol, T=339 K, V=7.63 L,... | P ≈ 1.714 atm. | {
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"content": "Compute molarity M = n/V. Given n=1.166 mol and ... | M = 0.426 mol/L. | {
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{
"role": "user",
"content": "Use PV=nRT. Given n=4.53 mol, T=265 K, V=35.69 L... | P ≈ 2.760 atm. | {
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"role": "user",
"content": "Compute molarity M = n/V. Given n=1.475 mol and ... | M = 0.598 mol/L. | {
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"content": "Use PV=nRT. Given n=0.36 mol, T=284 K, V=11.29 L... | P ≈ 0.743 atm. | {
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"role": "user",
"content": "Use PV=nRT. Given n=0.9 mol, T=255 K, V=24.73 L,... | P ≈ 0.762 atm. | {
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"content": "Compute molarity M = n/V. Given n=0.776 mol and ... | M = 0.565 mol/L. | {
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"task": "quantitative_reasoning",
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"content": "Use PV=nRT. Given n=3.21 mol, T=341 K, V=43.88 L... | P ≈ 2.047 atm. | {
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"domain": "master_scholars_academics",
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"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=23.77 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 0.5401 mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=167 kJ/mol, ΔS=2... | ΔG = 32.86 kJ/mol. | {
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"content": "Use PV=nRT. Given n=1.4 mol, T=289 K, V=28.14 L,... | P ≈ 1.180 atm. | {
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"domain": "master_scholars_academics",
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"content": "Compute pH = -log10([H+]). Given [H+] = 4.04e-05... | pH ≈ 4.39. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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{
"role": "user",
"content": "Reaction: A + 2B → C. mass(A)=35.7 g (M=32.0 g/m... | Limiting reagent: A. Moles of C formed = 1.1156 mol. | {
"id": "WUA_CHEM_25K_016990",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"created_utc": "2026-01-04T05:02:58",
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"role": "user",
"content": "Use PV=nRT. Given n=1.96 mol, T=331 K, V=13.05 L... | P ≈ 4.079 atm. | {
"id": "WUA_CHEM_25K_016991",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
"difficulty": "archon",
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"role": "user",
"content": "Use PV=nRT. Given n=4.15 mol, T=305 K, V=46.16 L... | P ≈ 2.250 atm. | {
"id": "WUA_CHEM_25K_016992",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Use PV=nRT. Given n=3.62 mol, T=302 K, V=33.8 L,... | P ≈ 2.654 atm. | {
"id": "WUA_CHEM_25K_016993",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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"content": "You are WithinUsAI Master Scholars Chemistry Quantitative Reasoning. Use the formula provided. Show minimal steps and give the final answer with units."
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=215 kJ/mol, ΔS=1... | ΔG = 207.74 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=1.049 mol and ... | M = 0.550 mol/L. | {
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"content": "Reaction: A + 2B → C. mass(A)=113.47 g (M=58.44 ... | Limiting reagent: A. Moles of C formed = 1.9416 mol. | {
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