Answer:
51 L
Step-by-step explanation:
Step 1: Given data
- Initial volume of nitrogen (V₁): 22.5 L
- Initial pressure of nitrogen (P₁): 90 kPa
- Final volume of nitrogen (V₂): ?
- Final pressure of nitrogen (P₂): 40 kPa
Step 2: Calculate the final volume of nitrogen
The volume of a gas is inversely proportional to the pressure. If we consider nitrogen as an ideal gas at a constant temperature, we can find the final volume using Boyle's law.
P₁ × V₁ = P₂ × V₂
V₂ = P₁ × V₁ / P₂
V₂ = 90 kPa × 22.5 L / 40 kPa
V₂ = 51 L