index int64 | sample_id int64 | prompt string | prefix string | response string | answer string | rewards float64 |
|---|---|---|---|---|---|---|
0 | 0 | A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\circ C
{/eq}. If... | <|im_start|>user
A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\... | 373.15 β 461.5 * 373 β Let me approximate 461.5 * 373 β 461.5 * 300 + 461.5 * 73 β 138,450 + 33, 709.5 β 138,450 + 33,709.5 β 172,159.5 J/kg.
Divide by 100,000 Pa: 1.7216 mΒ³/kg. Which is close to the actual value of 1.672 mΒ³/kg. So the ideal gas law overestimates the specific volume here. The error is about 3%.
Sim... | 977 kW | 0 |
0 | 1 | A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\circ C
{/eq}. If... | <|im_start|>user
A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\... | 373.15 β Let's approximate 460 * 370 = 170,200. More accurately, 461.5 * 373.15 β let's compute 461.5 * 373.15.
Well, 461.5 * 373.15 β 461.5 * 370 + 461.5 * 3.15 β 461.5*370 β 170,755 + 461.5*3.15 β 170,755 + 1,453 β 172,208 J/kg.
Divide by 100,000 Pa: 172,208 / 100,000 β 1.722 mΒ³/kg. Which is close to the actual v... | 977 kW | 0 |
0 | 2 | A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\circ C
{/eq}. If... | <|im_start|>user
A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\... | 373.15 β let's approximate 461.5 * 373 β 461.5 * 300 = 138,450; 461.5 * 70 = 32,305; 461.5 * 3 = 1,384.5; total β 138,450 + 32,305 + 1,384.5 β 172,139.5 J/kg. Then divide by 100,000 Pa: 172,139.5 / 100,000 β 1.721 mΒ³/kg. Which is close to the actual value of 1.672 mΒ³/kg. So the ideal gas law overestimates it by about 3... | 977 kW | 0 |
0 | 3 | A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\circ C
{/eq}. If... | <|im_start|>user
A boiler is used to heat steam at a brewery to be used in various applications such as heating water to brew the beer and sanitizing the brewing tanks. {eq}\rm
75.0\%
{/eq} of the heat produced by the boiler is used to create saturated steam at 12.0 bars (absolute) from liquid water at {eq}\rm
22 ^\... | 373.15 β Let me approximate 460 * 370 = 170,200. But more accurately, 461.5 * 373.15 β 461.5 * 373.15. Let me compute 461.5 * 373.15 β 461.5 * 373 β 461.5 * 300 = 138,450; 461.5 * 70 = 32,305; 461.5 * 3 = 1,384.5. Total β 138,450 + 32,305 + 1,384.5 β 172,139.5 J/kg.
Divide by 100,000 Pa: 1.7214 mΒ³/kg.
But the actua... | 977 kW | 0 |
0 | 4 | "A boiler is used to heat steam at a brewery to be used in various applications such as heating wate(...TRUNCATED) | "<|im_start|>user\nA boiler is used to heat steam at a brewery to be used in various applications su(...TRUNCATED) | "373.15 β Let me approximate 461.5 * 373 β 461.5 * 300 + 461.5 * 73 = 138,450 + 33, 679.5 β 13(...TRUNCATED) | 977 kW | 0 |
0 | 5 | "A boiler is used to heat steam at a brewery to be used in various applications such as heating wate(...TRUNCATED) | "<|im_start|>user\nA boiler is used to heat steam at a brewery to be used in various applications su(...TRUNCATED) | "373.15 β Let me approximate 460 * 370 β 170,200. But precise calculation:\n\nLet me compute 461(...TRUNCATED) | 977 kW | 0 |
0 | 6 | "A boiler is used to heat steam at a brewery to be used in various applications such as heating wate(...TRUNCATED) | "<|im_start|>user\nA boiler is used to heat steam at a brewery to be used in various applications su(...TRUNCATED) | "373.15 β Let's approximate 461.5 * 373 β 461.5 * 300 + 461.5 * 73 β 138,450 + 33,679.5 β 17(...TRUNCATED) | 977 kW | 0 |
0 | 7 | "A boiler is used to heat steam at a brewery to be used in various applications such as heating wate(...TRUNCATED) | "<|im_start|>user\nA boiler is used to heat steam at a brewery to be used in various applications su(...TRUNCATED) | "373.15 β Let's approximate. 460 * 370 = 170,200. Let me do more accurately. 461.5 * 373.15 β 46(...TRUNCATED) | 977 kW | 0 |
1 | 0 | "MgO crystal has an FCC structure with a lattice dimension of 0.42 nm and the ionic radii of 0.065 n(...TRUNCATED) | "<|im_start|>user\nMgO crystal has an FCC structure with a lattice dimension of 0.42 nm and the ioni(...TRUNCATED) | " OΒ²- in FCC and MgΒ²+ in octahedral sites. \n\nWait, the rock salt structure is actually a face-ce(...TRUNCATED) | 74.60% | 0 |
1 | 1 | "MgO crystal has an FCC structure with a lattice dimension of 0.42 nm and the ionic radii of 0.065 n(...TRUNCATED) | "<|im_start|>user\nMgO crystal has an FCC structure with a lattice dimension of 0.42 nm and the ioni(...TRUNCATED) | " OΒ²- ions and MgΒ²+ in octahedral sites. \n\nWait, maybe I need to clarify the structure. \n\nIn t(...TRUNCATED) | 74.60% | 0 |
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