According to Boyle's law (for constant temperature), the product of initial pressure and initial volume is equal to the product of final pressure and final volume. Therefore, (1.5 liters) × (2 atmospheres) = (new volume) × (4 atmospheres). Solving for the new volume gives us (new volume) = (1.5 liters × 2 atmospheres) / 4 atmospheres = 0.75 liters.