Final answer:
The question relates to the behavior of an ideal gas under changes in pressure and volume, taught in high school Physics. By applying gas laws such as Boyle's Law or the combined gas law, the new state of the gas can be determined after the changes.
Step-by-step explanation:
The subject question involves concepts of gas laws and the behavior of an ideal gas, which is part of high school Physics. The information given in the question pertains to the volume and pressure changes of a monatomic ideal gas. The concepts from the ideal gas law relate the pressure, volume, and temperature of a gas sample where the gas law can be represented as PV = nRT. To solve problems like these, students need to apply the appropriate gas laws, such as Boyle's Law for pressure-volume changes at constant temperature or the combined gas law when both volume and temperature could vary. For example, if a gas initially at 722 torr and 88.8 mL expands to 0.663 L, we would use Boyle's Law (P1V1 = P2V2) to find the new pressure. If the situation involves temperature changes, the combined gas law (P1V1/T1 = P2V2/T2) would be used instead. Correct calculations are crucial for determining the new state of the gas after these changes.