Final answer:
To determine the final pressure, we can use Boyle's law to calculate the partial pressure of each gas and then add them together. The partial pressure of H2 is 0.714 atm, and the partial pressure of the remaining gas is 2.00 atm. Adding these together gives a final pressure of 2.714 atm.
Step-by-step explanation:
Because gases act independently of each other, we can determine the resulting final pressures using Boyle's law and then add the two resulting pressures together to get the final pressure.
The total final volume is 2.00 L + 5.00 L
= 7.00 L.
First, we use Boyle's law to determine the final pressure of H2:
(2.50 atm)(2.00 L) = P2(7.00 L)
P2 = 0.714 atm = partial pressure of H2
The remaining volume is 5.00 L, and since the initial pressure is 1.00 atm, we can use Boyle's law again to determine the final pressure of the remaining gas:
(1.00 atm)(10 L) = PRemain(5.00 L)
PRemain = 2.00 atm
Finally, we add the two partial pressures together to get the final pressure:
Pfinal = 0.714 atm + 2.00 atm = 2.714 atm