Boyle's law describes the relationship between gas pressure and volume. It asserts that at a constant temperature, pressure is inversely proportional to gas volume. PV = k where P represents pressure, V denotes volume, and k is a constant. P1V1 = P2V2 where the parameters for the initial condition are on the left, and the parameters for the second condition appear on the right side of the formula. By substituting values into the equation: 4.00 atm x 500 L = 8.0 atm x V V calculates to 250 L. Thus, the new volume becomes 250 L.