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This problem involves the combined gas law, which relates pressure, volume, and temperature of a gas. Here's how to solve it:
1. Convert temperatures to Kelvin:
T1 = 25 °C + 273.15 = 298.15 K
T2 = 175 °C + 273.15 = 448.15 K
2. Plug the values into the combined gas law equation:
(P1
V1) / T1 = (P2
V2) / T2
(570 mm Hg
2270 mL) / 298.15 K = (P2
1250 mL) / 448.15 K
3. Solve for P2:
P2 = (570 mm Hg
2270 mL
448.15 K) / (298.15 K
1250 mL) ≈ 1530 mm Hg
Therefore, the final pressure is approximately 1530 mm Hg.