Most likely, a technical mistake was made in the task and we need to find the final pressure of the system, and not the final volume.
P1 = 3.38 atm;
V1 = 3.16 L;
P2 = unknown;
V2 = 6.97 L.
Solution:
1) Let's use this equation:
P1V1 = P2V2 (Boyle’s Law).
Temperature is constant.
2) Let's insert values:
(3.38 atm * 3.16 L) = (P2 * 6.97 L).
Then,
P2 = (3.38 atm * 3.16 L) / (6.97 L) = 1.53 atm.
P2 = 1.53 atm.
Answer: 1.53 atm is the final pressure of a system.
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