Final answer:
Using Boyle's Law, we can determine the final pressure of the gas.
Step-by-step explanation:
In this problem, we can use Boyle's Law, which states that pressure and volume are inversely proportional as long as the temperature remains constant. The formula for Boyle's Law is:
P1 * V1 = P2 * V2
Plugging in the given values:
1.25 * 105 Pa * 5.00 m3 = P2 * 31.0 m3
Solving for P2:
P2 = (1.25 * 105 Pa * 5.00 m3) / 31.0 m3
Using the given values:
P2 = 2.0161 * 104 Pa
Therefore, the final pressure of the gas is approximately 2.02 * 104 Pa.