Step-by-step explanation:
We can use the combined gas law to solve this problem, which states:
(P1 * V1) / T1 = (P2 * V2) / T2
Where:
P1 and V1 are the initial pressure and volume
T1 is the initial temperature
P2 and V2 are the final pressure and volume
T2 is the final temperature
In this case, we can assume that the temperature remains constant, so T1 = T2. We also know the initial pressure and volume (P1 = 2.15 atm and V1 = 0.0900 L), and we want to find the final pressure (P2) when the gas is transferred to a new container with a volume of 4.75 L (V2 = 4.75 L).
Plugging in these values, we get:
(2.15 atm * 0.0900 L) / T = (P2 * 4.75 L) / T
Simplifying this equation by canceling out the T's and solving for P2, we get:
P2 = (2.15 atm * 0.0900 L) / 4.75 L
P2 = 0.0406 atm
Therefore, the new pressure is 0.0406 atm when the gas is transferred to a container with a volume of 4.75 L. This makes sense because the pressure decreases as the volume increases, assuming the temperature remains constant.