Final answer:
The final volume of the gas is 5999.25 m³.
Step-by-step explanation:
The work done in compressing the gas at constant pressure can be calculated using the equation:
Work = Pressure * Change in volume
In this case, the work done is 150 J, the initial pressure is 2 x 10² N/m², and the initial volume is 6 × 10³ m³.
So, we can rearrange the equation to solve for the final volume:
Final volume = Initial volume - (Work / Pressure)
Plugging in the values, we have:
Final volume = 6 × 10³ m³ - (150 J / 2 x 10² N/m²)
Final volume = 6 × 10³ m³ - 0.75 m³
Final volume = 5999.25 m³