Final answer:
Sample (B) Xe at 200 atm and -50 °C deviates most from ideal gas behavior due to the combination of high pressure and low temperature, which increases the significance of intermolecular forces and the finite volume of gas molecules.
Step-by-step explanation:
The sample that deviates most from ideal gas behavior is (B) Xe at 200 atm and -50 °C. Ideal gas behavior presupposes that there are no intermolecular forces and that the volume occupied by gas molecules themselves can be neglected. Significant deviations from this behavior are commonly observed at low temperatures and high pressures, where interactions between molecules become more significant and the volume of the gas particles themselves cannot be ignored. In our scenarios, while sample (C) He at 200 atm and -50 °C is under the same conditions, helium is less likely to deviate due to its smaller atomic size and lower intermolecular forces compared to xenon. Sample (D) Xe at 200 atm and 1000 °C is at a high temperature, which would lead to less deviation as the increased kinetic energy of the particles overcomes intermolecular attractions. Sample (A) is at a lower pressure, which is closer to ideal conditions.