A gas filled a 5 dm3 container at a pressure of 3.0 atm, at 301 K. If the pressure of the system is doubled, what is the new volume that the gas will occupy at 301 K?
P1 = 3.0 atm
V1 = 5 dm3
P2 = (3.0 * 2) = 6.0 atm
V2 = unknown
T1 = T2 = 301 K = const
Since the temperature and amount of gas remain unchanged, Boyle's law can be used.
Boyle's gas law can be expressed as: P1V1 = P2V2
To find the new volume, solve the equation for V2:
V2 = P1V1 / P2
V2 = (3.0 atm × 5 dm3) / (6.0 atm) = 2.5 dm3
V2 = 2.5 dm3
Answer: 2.5 dm3 is the new volume if gas.