Final answer:
To find the new volume, we can use Boyle's Law, which states that when the temperature and amount of gas are kept constant, the initial pressure multiplied by the initial volume is equal to the final pressure multiplied by the final volume. The new volume occupied is 1.231 liters.
Step-by-step explanation:
To find the new volume, we can use Boyle's Law, which states that when the temperature and amount of gas are kept constant, the initial pressure multiplied by the initial volume is equal to the final pressure multiplied by the final volume.
The initial pressure is 850 torr and the initial volume is 6.414 liters. The final pressure is 4423 torr and we need to find the final volume.
Using the equation:
P1V1 = P2V2
we can rearrange it to solve for the final volume:
V2 = (P1 x V1) / P2
Plugging in the values, we get:
V2 = (850 torr x 6.414 L) / 4423 torr = 1.231 L
Therefore, the new volume occupied is 1.231 liters.