prompt dict | response stringlengths 10 165 | meta dict | fact_sources listlengths 1 3 | artifacts dict |
|---|---|---|---|---|
{
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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": "Reaction: A + 2B → C. mass(A)=119.98 g (M=58.44 ... | Limiting reagent: B. Moles of C formed = 0.7864 mol. | {
"id": "WUA_CHEM_25K_015101",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"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",
"... | [
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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": "Compute ΔG = ΔH - TΔS. Given ΔH=-16 kJ/mol, ΔS=-... | ΔG = -7.20 kJ/mol. | {
"id": "WUA_CHEM_25K_015102",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"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",
... | [
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"evidence_type": "self_contained",
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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": "Reaction: A + 2B → C. mass(A)=93.61 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 1.6018 mol. | {
"id": "WUA_CHEM_25K_015103",
"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",
... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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"max_tokens_hint": 220,
"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": "Compute ΔG = ΔH - TΔS. Given ΔH=214 kJ/mol, ΔS=-... | ΔG = 225.90 kJ/mol. | {
"id": "WUA_CHEM_25K_015104",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"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",
... | [
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"source_url": "",
"evidence_type": "self_contained",
"accessed_at_utc": "2026-01-04T05:02:58"
}
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"max_tokens_hint": 220,
"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": "Compute pH = -log10([H+]). Given [H+] = 5.85e-06... | pH ≈ 5.23. | {
"id": "WUA_CHEM_25K_015105",
"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... | [
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"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"
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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=2.48 M, V1=247... | M2 = 2.320 M. | {
"id": "WUA_CHEM_25K_015106",
"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... | [
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"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"
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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+] = 3.03e-12... | pH ≈ 11.52. | {
"id": "WUA_CHEM_25K_015107",
"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_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": "Dilution: M1*V1 = M2*V2. Given M1=0.32 M, V1=90 ... | M2 = 0.046 M. | {
"id": "WUA_CHEM_25K_015108",
"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"
}
] | {
"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": "Reaction: A + 2B → C. mass(A)=46.38 g (M=44.01 g... | Limiting reagent: B. Moles of C formed = 0.7371 mol. | {
"id": "WUA_CHEM_25K_015109",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"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",
"... | [
{
"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": "Use PV=nRT. Given n=0.26 mol, T=309 K, V=36.86 L... | P ≈ 0.179 atm. | {
"id": "WUA_CHEM_25K_015110",
"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"
}
] | {
"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": "Dilution: M1*V1 = M2*V2. Given M1=1.99 M, V1=83 ... | M2 = 0.238 M. | {
"id": "WUA_CHEM_25K_015111",
"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,
"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=2.23 M, V1=80 ... | M2 = 0.206 M. | {
"id": "WUA_CHEM_25K_015112",
"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"
}
] | {
"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": "Reaction: A + 2B → C. mass(A)=111.66 g (M=58.44 ... | Limiting reagent: A. Moles of C formed = 1.9107 mol. | {
"id": "WUA_CHEM_25K_015113",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"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",
"... | [
{
"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": "Dilution: M1*V1 = M2*V2. Given M1=2.16 M, V1=249... | M2 = 1.412 M. | {
"id": "WUA_CHEM_25K_015114",
"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"
}
] | {
"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 ΔG = ΔH - TΔS. Given ΔH=199 kJ/mol, ΔS=-... | ΔG = 282.74 kJ/mol. | {
"id": "WUA_CHEM_25K_015115",
"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"
}
] | {
"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": "Use PV=nRT. Given n=1.69 mol, T=334 K, V=22.37 L... | P ≈ 2.071 atm. | {
"id": "WUA_CHEM_25K_015116",
"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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{
"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=93 kJ/mol, ΔS=38... | ΔG = 72.14 kJ/mol. | {
"id": "WUA_CHEM_25K_015117",
"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": "Compute pH = -log10([H+]). Given [H+] = 1.24e-13... | pH ≈ 12.91. | {
"id": "WUA_CHEM_25K_015118",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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+] = 1.21e-08... | pH ≈ 7.92. | {
"id": "WUA_CHEM_25K_015119",
"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"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": "Use PV=nRT. Given n=0.44 mol, T=263 K, V=49.73 L... | P ≈ 0.191 atm. | {
"id": "WUA_CHEM_25K_015120",
"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": "Use PV=nRT. Given n=0.59 mol, T=347 K, V=22.2 L,... | P ≈ 0.757 atm. | {
"id": "WUA_CHEM_25K_015121",
"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": "Compute ΔG = ΔH - TΔS. Given ΔH=43 kJ/mol, ΔS=-2... | ΔG = 198.88 kJ/mol. | {
"id": "WUA_CHEM_25K_015122",
"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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{
"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+] = 8.63e-11... | pH ≈ 10.06. | {
"id": "WUA_CHEM_25K_015123",
"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": "Reaction: A + 2B → C. mass(A)=60.05 g (M=44.01 g... | Limiting reagent: B. Moles of C formed = 1.2853 mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=160 kJ/mol, ΔS=-... | ΔG = 252.82 kJ/mol. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.89 M, V1=222... | M2 = 0.770 M. | {
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"content": "Reaction: A + 2B → C. mass(A)=22.1 g (M=18.02 g/... | Limiting reagent: A. Moles of C formed = 1.2264 mol. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.3 M, V1=131 ... | M2 = 0.642 M. | {
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"content": "Compute molarity M = n/V. Given n=0.934 mol and ... | M = 0.377 mol/L. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.08 M, V1=100... | M2 = 0.278 M. | {
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"subdomain": "chemistry_math::solutions",
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"content": "Compute pH = -log10([H+]). Given [H+] = 4.94e-11... | pH ≈ 10.31. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-119 kJ/mol, ΔS=... | ΔG = 49.85 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=59.48 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 1.7657 mol. | {
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"subdomain": "chemistry_math::stoichiometry",
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"content": "Compute molarity M = n/V. Given n=1.422 mol and ... | M = 1.722 mol/L. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=27 kJ/mol, ΔS=25... | ΔG = -136.07 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"role": "user",
"content": "Compute molarity M = n/V. Given n=0.418 mol and ... | M = 0.195 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=144 kJ/mol, ΔS=-... | ΔG = 252.27 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Compute molarity M = n/V. Given n=2.08 mol and V... | M = 0.812 mol/L. | {
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.46 M, V1=100... | M2 = 0.289 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"... | [
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"content": "Reaction: A + 2B → C. mass(A)=98.61 g (M=44.01 g... | Limiting reagent: A. Moles of C formed = 2.2406 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"content": "Compute molarity M = n/V. Given n=1.447 mol and ... | M = 0.656 mol/L. | {
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"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 2.27e-10... | pH ≈ 9.64. | {
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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)=84.62 g (M=98.08 g... | Limiting reagent: A. Moles of C formed = 0.8628 mol. | {
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"content": "Compute pH = -log10([H+]). Given [H+] = 4.44e-09... | pH ≈ 8.35. | {
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"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"role": "user",
"content": "Dilution: M1*V1 = M2*V2. Given M1=1.96 M, V1=250... | M2 = 0.739 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=0.52 M, V1=88 ... | M2 = 0.055 M. | {
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"content": "Reaction: A + 2B → C. mass(A)=31.7 g (M=44.01 g/... | Limiting reagent: A. Moles of C formed = 0.7203 mol. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=134 kJ/mol, ΔS=1... | ΔG = 25.14 kJ/mol. | {
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"content": "Reaction: A + 2B → C. mass(A)=42.3 g (M=44.01 g/... | Limiting reagent: A. Moles of C formed = 0.9611 mol. | {
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"content": "Compute molarity M = n/V. Given n=0.897 mol and ... | M = 0.304 mol/L. | {
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"role": "user",
"content": "Use PV=nRT. Given n=4.76 mol, T=282 K, V=9.96 L,... | P ≈ 11.059 atm. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-120 kJ/mol, ΔS=... | ΔG = -7.93 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"role": "user",
"content": "Compute molarity M = n/V. Given n=2.206 mol and ... | M = 1.061 mol/L. | {
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"role": "user",
"content": "Use PV=nRT. Given n=0.61 mol, T=286 K, V=46.85 L... | P ≈ 0.306 atm. | {
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"domain": "master_scholars_academics",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.25 M, V1=116... | M2 = 0.580 M. | {
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"domain": "master_scholars_academics",
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"role": "user",
"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-209 kJ/mol, ΔS=... | ΔG = -206.26 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=166 kJ/mol, ΔS=2... | ΔG = 18.00 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Reaction: A + 2B → C. mass(A)=50.35 g (M=32.0 g/... | Limiting reagent: B. Moles of C formed = 1.2798 mol. | {
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"role": "user",
"content": "Compute molarity M = n/V. Given n=0.94 mol and V... | M = 0.770 mol/L. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 4.47e-07... | pH ≈ 6.35. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
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"content": "Reaction: A + 2B → C. mass(A)=14.47 g (M=58.44 g... | Limiting reagent: A. Moles of C formed = 0.2476 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=225 kJ/mol, ΔS=-... | ΔG = 238.78 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Use PV=nRT. Given n=3.96 mol, T=327 K, V=20.75 L... | P ≈ 5.121 atm. | {
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"domain": "master_scholars_academics",
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"content": "Compute pH = -log10([H+]). Given [H+] = 2.84e-11... | pH ≈ 10.55. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-114 kJ/mol, ΔS=... | ΔG = -65.31 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.2 M, V1=176 ... | M2 = 0.214 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-145 kJ/mol, ΔS=... | ΔG = -238.11 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Use PV=nRT. Given n=1.05 mol, T=347 K, V=43.49 L... | P ≈ 0.687 atm. | {
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"content": "Use PV=nRT. Given n=2.27 mol, T=272 K, V=24.74 L... | P ≈ 2.048 atm. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-102 kJ/mol, ΔS=... | ΔG = -153.09 kJ/mol. | {
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"content": "Use PV=nRT. Given n=1.7 mol, T=255 K, V=43.26 L,... | P ≈ 0.822 atm. | {
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"content": "Reaction: A + 2B → C. mass(A)=95.61 g (M=18.02 g... | Limiting reagent: B. Moles of C formed = 3.2550 mol. | {
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"content": "Use PV=nRT. Given n=1.14 mol, T=320 K, V=19.99 L... | P ≈ 1.497 atm. | {
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=116 kJ/mol, ΔS=-... | ΔG = 141.68 kJ/mol. | {
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"subdomain": "chemistry_math::thermodynamics",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.03 M, V1=118... | M2 = 0.932 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 2.32e-05... | pH ≈ 4.63. | {
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"domain": "master_scholars_academics",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=2.13 M, V1=206... | M2 = 0.658 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute pH = -log10([H+]). Given [H+] = 8.15e-07... | pH ≈ 6.09. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::acid_base",
"task": "quantitative_reasoning",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.72 M, V1=136... | M2 = 0.428 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Dilution: M1*V1 = M2*V2. Given M1=1.23 M, V1=111... | M2 = 0.161 M. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::solutions",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=30 kJ/mol, ΔS=11... | ΔG = -48.87 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
"task": "quantitative_reasoning",
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"content": "Compute ΔG = ΔH - TΔS. Given ΔH=-141 kJ/mol, ΔS=... | ΔG = -222.26 kJ/mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::thermodynamics",
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"content": "Use PV=nRT. Given n=4.77 mol, T=350 K, V=33.7 L,... | P ≈ 4.065 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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{
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"content": "Reaction: A + 2B → C. mass(A)=104.76 g (M=32.0 g... | Limiting reagent: B. Moles of C formed = 1.3038 mol. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::stoichiometry",
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{
"role": "user",
"content": "Use PV=nRT. Given n=4.85 mol, T=318 K, V=22.42 L... | P ≈ 5.645 atm. | {
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"domain": "master_scholars_academics",
"subdomain": "chemistry_math::gas_laws",
"task": "quantitative_reasoning",
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