Answer:
a. Increase
b. 539 L
Explanation:
Step 1: Given data
- Initial volume (V₁): 200.0 L
- Initial pressure (P₁): 760 mmHg
- Final pressure (P₂): 282 mmHg
Step 2: Calculate the final volume of the gas
The pressure of the gas is inversely proportional to the volume. So, as the pressure decreases, the volume must increase. Assuming constant temperature and ideal behavior, we can calculate the final volume of the gas using Boyle's law.
P₁ × V₁ = P₂ × V₂
V₂ = P₁ × V₁/P₂
V₂ = 760 mmHg × 200.0 L/282 mmHg = 539 L
