Final answer:
To find the new volume of a gas when its pressure is changed while keeping temperature and amount constant, Boyle's Law is applied. For a pressure change from 2.18 atm to 5.03 atm, the new volume is calculated to be approximately 2.38 L.
Step-by-step explanation:
The question involves the application of Boyle’s Law, which states that for a given mass of an ideal gas at constant temperature, the volume of the gas is inversely proportional to its pressure.
Using the formula P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume, we can calculate the new volume of the gas when the pressure changes. Substituting the known values:
2.18 atm × 5.83 L = 5.03 atm × V2
V2 = (2.18 atm × 5.83 L) / 5.03 atm
V2 = 11.9826 L / 5.03 atm
V2 ≈ 2.38 L
So, the new volume of the gas when the pressure is changed to 5.03 atm would be approximately 2.38 liters, assuming temperature and amount of the gas remain constant.